
Time bar (total: 11.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 915.0ms | 8 256× | 0 | valid |
ival-sin: 270.0ms (40% of total)ival-mult: 226.0ms (33.5% of total)ival-div: 131.0ms (19.4% of total)ival-sinh: 40.0ms (5.9% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sinh.f64 y) |
| 0 | 0 | - | 0 | - | (/.f64 (sinh.f64 y) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 38.0ms | 512× | 0 | valid |
Compiled 45 to 22 computations (51.1% saved)
ival-sin: 11.0ms (42.8% of total)ival-sinh: 7.0ms (27.2% of total)ival-div: 4.0ms (15.6% of total)ival-mult: 3.0ms (11.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 2 656× | lower-fma.f64 |
| 2 656× | lower-fma.f32 |
| 1 792× | lower-*.f32 |
| 1 790× | lower-*.f64 |
| 1 194× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 60 | 41 |
| 2 | 172 | 41 |
| 3 | 580 | 37 |
| 4 | 1988 | 37 |
| 5 | 4628 | 37 |
| 6 | 6336 | 37 |
| 7 | 7331 | 37 |
| 8 | 7843 | 37 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 36 | 7 |
| 3 | 74 | 7 |
| 4 | 154 | 7 |
| 5 | 302 | 7 |
| 6 | 761 | 7 |
| 7 | 1800 | 7 |
| 8 | 3035 | 7 |
| 9 | 4031 | 7 |
| 10 | 4516 | 7 |
| 11 | 4594 | 7 |
| 12 | 4597 | 7 |
| 13 | 4599 | 7 |
| 14 | 5019 | 7 |
| 15 | 5239 | 7 |
| 16 | 5359 | 7 |
| 17 | 5493 | 7 |
| 18 | 5597 | 7 |
| 19 | 5637 | 7 |
| 20 | 5653 | 7 |
| 21 | 5661 | 7 |
| 22 | 5661 | 7 |
| 23 | 5779 | 7 |
| 24 | 6017 | 7 |
| 25 | 6053 | 7 |
| 26 | 6053 | 7 |
| 27 | 6053 | 7 |
| 0 | 6053 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(abs y)
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | (/.f64 (sinh.f64 y) y) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2 656× | lower-fma.f64 |
| 2 656× | lower-fma.f32 |
| 1 792× | lower-*.f32 |
| 1 790× | lower-*.f64 |
| 1 194× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 36 | 17 |
| 3 | 74 | 17 |
| 4 | 154 | 17 |
| 5 | 302 | 17 |
| 6 | 761 | 17 |
| 7 | 1800 | 17 |
| 8 | 3035 | 17 |
| 9 | 4031 | 17 |
| 10 | 4516 | 17 |
| 11 | 4594 | 17 |
| 12 | 4597 | 17 |
| 13 | 4599 | 17 |
| 14 | 5019 | 17 |
| 15 | 5239 | 17 |
| 16 | 5359 | 17 |
| 17 | 5493 | 17 |
| 18 | 5597 | 17 |
| 19 | 5637 | 17 |
| 20 | 5653 | 17 |
| 21 | 5661 | 17 |
| 22 | 5661 | 17 |
| 23 | 5779 | 17 |
| 24 | 6017 | 17 |
| 25 | 6053 | 17 |
| 26 | 6053 | 17 |
| 27 | 6053 | 17 |
| 0 | 6053 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(sin.f64 x) |
x |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(sin.f64 x) |
x |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 (sinh.f64 y) y) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.0078125 | (sinh.f64 y) | |
| accuracy | 0.017910009768442016 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 16.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-sin: 5.0ms (50.2% of total)ival-div: 2.0ms (20.1% of total)ival-mult: 1.0ms (10% of total)ival-sinh: 1.0ms (10% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ()) |
#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ()) |
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (sin x) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | y | @ | -inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y)) |
| 3.0ms | y | @ | inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y)) |
| 2.0ms | x | @ | inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y)) |
| 1.0ms | y | @ | 0 | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y)) |
| 1.0ms | x | @ | 0 | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y)) |
| 1× | egg-herbie |
| 15 526× | lower-fma.f64 |
| 15 526× | lower-fma.f32 |
| 6 162× | lower-*.f64 |
| 6 162× | lower-*.f32 |
| 2 900× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 700 |
| 1 | 288 | 693 |
| 2 | 903 | 643 |
| 3 | 3157 | 635 |
| 4 | 7386 | 635 |
| 0 | 8545 | 605 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
| Outputs |
|---|
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64)))) x) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x (*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (pow.f64 x #s(literal 5 binary64)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
| 5 128× | lower-*.f32 |
| 5 126× | lower-*.f64 |
| 4 518× | lower-/.f32 |
| 4 516× | lower-/.f64 |
| 1 718× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 26 | 15 |
| 2 | 121 | 15 |
| 3 | 870 | 15 |
| 0 | 8384 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(sin.f64 x) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) #s(literal 2 binary64)) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(*.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sinh.f64 y)))) (/.f64 (sin.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) (sinh.f64 y))) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) y)) (/.f64 (sin.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) y)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (/.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (/.f64 (sin.f64 x) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sinh.f64 y))) (/.f64 (sin.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (/.f64 (/.f64 (sin.f64 x) y) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (/.f64 (/.f64 (sin.f64 x) y) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) (-.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 y))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (sinh.f64 y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(/.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(sinh.f64 y) |
(neg.f64 (sinh.f64 (neg.f64 y))) |
(neg.f64 (neg.f64 (sinh.f64 y))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (hypot.f64 (pow.f64 (exp.f64 y) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (hypot.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 y) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) (pow.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1/4 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) |
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal 1/4 binary64) #s(literal 0 binary64)) |
(fma.f64 (cosh.f64 y) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (*.f64 (pow.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (/.f64 (pow.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (sinh.f64 y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (sinh.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (/.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(-.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sinh.f64 #s(literal 0 binary64)) (cosh.f64 y)) (*.f64 (cosh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 y)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 y) #s(literal -1/2 binary64))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(+.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (sinh.f64 y)) |
(+.f64 (sinh.f64 y) #s(literal 0 binary64)) |
Compiled 12 446 to 2 074 computations (83.3% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 694 | 8 | 702 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 695 | 8 | 703 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 23.9% | (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) |
| 88.9% | (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y) | |
| 54.5% | (*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y)) | |
| ▶ | 92.4% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 88.6% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| 71.8% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 33.2% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
| ▶ | 48.2% | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
Compiled 190 to 150 computations (21.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (sin.f64 x)) | |
| cost-diff | 0 | (/.f64 (neg.f64 (sin.f64 x)) y) | |
| cost-diff | 256 | (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) | |
| cost-diff | 13568 | (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) | |
| cost-diff | 7040 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| 3 740× | lower-*.f32 |
| 3 728× | lower-*.f64 |
| 3 216× | lower-/.f32 |
| 3 210× | lower-/.f64 |
| 3 146× | lower-fma.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 269 |
| 0 | 67 | 269 |
| 1 | 121 | 269 |
| 2 | 273 | 265 |
| 3 | 898 | 260 |
| 4 | 3403 | 248 |
| 5 | 7845 | 248 |
| 0 | 8041 | 248 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(sin.f64 x) |
x |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(exp.f64 y) |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (sin.f64 x)) y) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
x |
y |
(neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(pow.f64 (sinh.f64 y) #s(literal 2 binary64)) |
(sinh.f64 y) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(sin.f64 x) |
x |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 x y) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 (/.f64 x y) (sinh.f64 y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(exp.f64 y) |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) y) (sin.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) y) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
x |
y |
(neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(pow.f64 (sinh.f64 y) #s(literal 2 binary64)) |
(sinh.f64 y) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (sinh.f64 y) | |
| accuracy | 0.02734375 | (/.f64 (neg.f64 (sin.f64 x)) y) | |
| accuracy | 7.090830006696106 | (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) | |
| accuracy | 7.5997496197070085 | (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) | |
| accuracy | 0.125 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 5.679194882746965 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) | |
| accuracy | 13.951489439580012 | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) | |
| accuracy | 27.477888503629046 | (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 0.017910009768442016 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 0.3396740139474923 | #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.5838276100763331 | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 0.017910009768442016 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 0.29792508014284513 | #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
| 214.0ms | 134× | 5 | exit |
| 109.0ms | 74× | 1 | valid |
| 34.0ms | 40× | 2 | valid |
| 2.0ms | 8× | 0 | valid |
Compiled 206 to 38 computations (81.6% saved)
adjust: 107.0ms (41.6% of total)ival-mult: 69.0ms (26.8% of total)ival-exp: 24.0ms (9.3% of total)const: 15.0ms (5.8% of total)ival-add: 10.0ms (3.9% of total)ival-div: 9.0ms (3.5% of total)ival-sin: 7.0ms (2.7% of total)ival-pow2: 5.0ms (1.9% of total)ival-sub: 4.0ms (1.6% of total)ival-neg: 4.0ms (1.6% of total)ival-sinh: 3.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) (patch (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (sin.f64 x)) y) (patch (/.f64 (neg.f64 (sin.f64 x)) y) #<representation:binary64>) () ()) |
#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #<representation:binary64>) () ()) |
#s(alt (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (patch (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #<representation:binary64>) () ()) |
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (sin x) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* 1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation:binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) (patch (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) (patch (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) (patch (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) (patch (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin x) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (sin.f64 x)) y) (patch (/.f64 (neg.f64 (sin.f64 x)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin x) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (sin.f64 x)) y) (patch (/.f64 (neg.f64 (sin.f64 x)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin x) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (sin.f64 x)) y) (patch (/.f64 (neg.f64 (sin.f64 x)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin x) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (sin.f64 x)) y) (patch (/.f64 (neg.f64 (sin.f64 x)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (sin x)) (taylor -inf x) (#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (sin x)) (taylor -inf x) (#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (sin x)) (taylor -inf x) (#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (sin x)) (taylor -inf x) (#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation:binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (sin x) (/ (sinh y) y)) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (/ (neg (sin x)) y) (neg (sin x)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (- (exp y) (exp (neg y))) (sinh y)) |
| 8.0ms | y | @ | 0 | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (sin x) (/ (sinh y) y)) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (/ (neg (sin x)) y) (neg (sin x)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (- (exp y) (exp (neg y))) (sinh y)) |
| 7.0ms | y | @ | -inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (sin x) (/ (sinh y) y)) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (/ (neg (sin x)) y) (neg (sin x)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (- (exp y) (exp (neg y))) (sinh y)) |
| 3.0ms | x | @ | inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (sin x) (/ (sinh y) y)) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (/ (neg (sin x)) y) (neg (sin x)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (- (exp y) (exp (neg y))) (sinh y)) |
| 3.0ms | x | @ | 0 | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (sin x) (/ (sinh y) y)) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (/ (neg (sin x)) y) (neg (sin x)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (- (exp y) (exp (neg y))) (sinh y)) |
| 1× | egg-herbie |
| 10 236× | lower-fma.f64 |
| 10 236× | lower-fma.f32 |
| 5 236× | lower-*.f64 |
| 5 236× | lower-*.f32 |
| 3 242× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 4238 |
| 1 | 838 | 4196 |
| 2 | 2449 | 3933 |
| 3 | 5313 | 3921 |
| 4 | 7384 | 3921 |
| 0 | 8051 | 3745 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/3 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 2/45 (* (pow y 2) (sin x))) (* 1/3 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/3 (sin x)) (* (pow y 2) (+ (* 1/315 (* (pow y 2) (sin x))) (* 2/45 (sin x)))))))) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(* 2 y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(- (exp y) (exp (neg y))) |
(- (exp y) (exp (neg y))) |
(- (exp y) (exp (neg y))) |
(- (exp y) (exp (neg y))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(- (exp y) (exp (* -1 y))) |
(- (exp y) (exp (* -1 y))) |
(- (exp y) (exp (* -1 y))) |
(- (exp y) (exp (* -1 y))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/4 (/ (* x (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* x (+ (* -1/24 (/ (* (pow x 2) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) (* 1/4 (/ (pow (- (exp y) (/ 1 (exp y))) 2) y)))) |
(* x (+ (* 1/4 (/ (pow (- (exp y) (/ 1 (exp y))) 2) y)) (* (pow x 2) (+ (* -1/24 (/ (pow (- (exp y) (/ 1 (exp y))) 2) y)) (* 1/480 (/ (* (pow x 2) (pow (- (exp y) (/ 1 (exp y))) 2)) y)))))) |
(* x (+ (* 1/4 (/ (pow (- (exp y) (/ 1 (exp y))) 2) y)) (* (pow x 2) (+ (* -1/24 (/ (pow (- (exp y) (/ 1 (exp y))) 2) y)) (* (pow x 2) (+ (* -1/20160 (/ (* (pow x 2) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) (* 1/480 (/ (pow (- (exp y) (/ 1 (exp y))) 2) y)))))))) |
(* -1 (/ x y)) |
(* x (- (* 1/6 (/ (pow x 2) y)) (/ 1 y))) |
(* x (- (* (pow x 2) (+ (* -1/120 (/ (pow x 2) y)) (* 1/6 (/ 1 y)))) (/ 1 y))) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/5040 (/ (pow x 2) y)) (* 1/120 (/ 1 y)))) (* 1/6 (/ 1 y)))) (/ 1 y))) |
(* -1 x) |
(* x (- (* 1/6 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (/ (sin x) y)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
| Outputs |
|---|
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (+ (sin x) (* 1/3 (* (pow y 2) (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64) y)) |
(* y (+ (sin x) (* (pow y 2) (+ (* 2/45 (* (pow y 2) (sin x))) (* 1/3 (sin x)))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64))) (*.f64 y (sin.f64 x))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/3 (sin x)) (* (pow y 2) (+ (* 1/315 (* (pow y 2) (sin x))) (* 2/45 (sin x)))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64)) #s(literal 1/3 binary64))) (*.f64 y (sin.f64 x))) |
(* -1 (/ (sin x) y)) |
(/.f64 (sin.f64 x) (neg.f64 y)) |
(* -1 (/ (sin x) y)) |
(/.f64 (sin.f64 x) (neg.f64 y)) |
(* -1 (/ (sin x) y)) |
(/.f64 (sin.f64 x) (neg.f64 y)) |
(* -1 (/ (sin x) y)) |
(/.f64 (sin.f64 x) (neg.f64 y)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64)) |
(* 1/5040 (pow y 6)) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64)) |
(* 1/120 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
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(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sin.f64 x) y)) (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 2 binary64))) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sin.f64 x) y)) (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 2 binary64))) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sin.f64 x) y)) (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 2 binary64))) |
(* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sin.f64 x) y)) (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 2 binary64))) |
(* -1 (/ (sin x) y)) |
(/.f64 (sin.f64 x) (neg.f64 y)) |
(* -1 (/ (sin x) y)) |
(/.f64 (sin.f64 x) (neg.f64 y)) |
(* -1 (/ (sin x) y)) |
(/.f64 (sin.f64 x) (neg.f64 y)) |
(* -1 (/ (sin x) y)) |
(/.f64 (sin.f64 x) (neg.f64 y)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
| 5 556× | lower-fma.f32 |
| 5 546× | lower-fma.f64 |
| 4 212× | lower-/.f32 |
| 4 206× | lower-/.f64 |
| 4 206× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 223 |
| 0 | 67 | 217 |
| 1 | 225 | 217 |
| 2 | 1478 | 200 |
| 0 | 8426 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(sin.f64 x) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (sin.f64 x)) y) |
(neg.f64 (sin.f64 x)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(sinh.f64 y) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (sin.f64 x)) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
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(/.f64 #s(literal 2 binary64) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (-.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (/.f64 (exp.f64 y) (neg.f64 (exp.f64 y))))) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (exp.f64 y) (cosh.f64 y)) (neg.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 y)) (exp.f64 y)) |
(fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(fma.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 y) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)) (exp.f64 y)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (neg.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) (exp.f64 y)) |
(+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) |
(*.f64 (/.f64 (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (sinh.f64 y))) (/.f64 (sinh.f64 y) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (/.f64 (sinh.f64 y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) (/.f64 (sinh.f64 y) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64)) |
(*.f64 (cosh.f64 y) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64))) |
(*.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) |
(/.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (sinh.f64 y)) |
(/.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) |
(sinh.f64 y) |
(neg.f64 (neg.f64 (sinh.f64 y))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 2 binary64)) (log.f64 (sinh.f64 y)))) |
(exp.f64 (log.f64 (sinh.f64 y))) |
(+.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
Compiled 24 619 to 3 109 computations (87.4% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 128 | 14 | 1 142 |
| Fresh | 0 | 3 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 132 | 18 | 1 150 |
| Status | Accuracy | Program |
|---|---|---|
| 88.9% | (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y) | |
| 54.5% | (*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y)) | |
| ▶ | 92.3% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 71.8% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 88.3% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| 58.0% | (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 91.3% | #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) | |
| 66.1% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) | |
| ▶ | 56.6% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) |
| 52.6% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| ▶ | 51.1% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
| 44.7% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| 26.7% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) | |
| ✓ | 48.2% | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
| 53.7% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) | |
| ▶ | 48.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
| 35.7% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) | |
| 32.0% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
Compiled 513 to 386 computations (24.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 320 | (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) | |
| cost-diff | 320 | (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) | |
| cost-diff | 640 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| 3 966× | lower-*.f32 |
| 3 944× | lower-*.f64 |
| 2 990× | lower-fma.f32 |
| 2 980× | lower-fma.f64 |
| 1 876× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 449 |
| 0 | 79 | 435 |
| 1 | 142 | 425 |
| 2 | 310 | 413 |
| 3 | 940 | 399 |
| 4 | 2908 | 399 |
| 0 | 8231 | 394 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) |
#s(literal 1/60 binary64) |
(*.f64 y y) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 y)) |
(sinh.f64 y) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) |
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) |
#s(literal 1/60 binary64) |
(*.f64 y y) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 x y) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) |
(*.f64 (/.f64 x y) (sinh.f64 y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) |
(*.f64 (sinh.f64 y) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) |
(/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 #s(literal 4 binary64) (sinh.f64 y)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) #s(literal 2 binary64)) |
(sinh.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) | |
| accuracy | 0.125 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 5.679194882746965 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) | |
| accuracy | 13.951489439580012 | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.017910009768442016 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.3783966862273588 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.125 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 0.34264687522613074 | #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) | |
| accuracy | 5.679194882746965 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) | |
| accuracy | 13.951489439580012 | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) | |
| accuracy | 0.38167636463054755 | #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) | |
| accuracy | 13.951489439580012 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) | |
| accuracy | 0.017910009768442016 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 0.05078125 | (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) | |
| accuracy | 0.29792508014284513 | #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 29.12966169778943 | #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
| 406.0ms | 134× | 5 | exit |
| 75.0ms | 74× | 1 | valid |
| 70.0ms | 40× | 2 | valid |
| 3.0ms | 8× | 0 | valid |
Compiled 279 to 43 computations (84.6% saved)
adjust: 131.0ms (36.7% of total)ival-mult: 87.0ms (24.4% of total)const: 53.0ms (14.8% of total)ival-sin: 36.0ms (10.1% of total)ival-exp: 24.0ms (6.7% of total)ival-add: 13.0ms (3.6% of total)ival-div: 6.0ms (1.7% of total)ival-sub: 4.0ms (1.1% of total)ival-neg: 1.0ms (0.3% of total)ival-sinh: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (patch (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (patch #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ()) |
#s(alt #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (patch #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (sin x) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* 1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) (taylor 0 y) (#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* 1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* 1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* 1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) #<representation:binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 76.0ms | y | @ | -inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (/ 2 (* 2 (* 2 (sinh y)))) (* 2 (* 2 (sinh y))) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (* y y) (- (exp y) (exp (neg y))) (* (sin x) (/ (sinh y) y))) |
| 9.0ms | x | @ | 0 | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (/ 2 (* 2 (* 2 (sinh y)))) (* 2 (* 2 (sinh y))) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (* y y) (- (exp y) (exp (neg y))) (* (sin x) (/ (sinh y) y))) |
| 5.0ms | y | @ | inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (/ 2 (* 2 (* 2 (sinh y)))) (* 2 (* 2 (sinh y))) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (* y y) (- (exp y) (exp (neg y))) (* (sin x) (/ (sinh y) y))) |
| 3.0ms | x | @ | -inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (/ 2 (* 2 (* 2 (sinh y)))) (* 2 (* 2 (sinh y))) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (* y y) (- (exp y) (exp (neg y))) (* (sin x) (/ (sinh y) y))) |
| 2.0ms | y | @ | 0 | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (/ 2 (* 2 (* 2 (sinh y)))) (* 2 (* 2 (sinh y))) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (* y y) (- (exp y) (exp (neg y))) (* (sin x) (/ (sinh y) y))) |
| 1× | egg-herbie |
| 16 234× | lower-fma.f64 |
| 16 234× | lower-fma.f32 |
| 6 446× | lower-*.f64 |
| 6 446× | lower-*.f32 |
| 3 176× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 4390 |
| 1 | 602 | 4355 |
| 2 | 1670 | 4139 |
| 3 | 4579 | 4093 |
| 0 | 8702 | 3926 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* 1/6 (* x (pow y 2)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 2 y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ 1/2 y) |
(/ (+ 1/2 (* -1/12 (pow y 2))) y) |
(/ (+ 1/2 (* (pow y 2) (- (* 7/720 (pow y 2)) 1/12))) y) |
(/ (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 7/720 (* -31/30240 (pow y 2)))) 1/12))) y) |
(* 4 y) |
(* y (+ 4 (* 2/3 (pow y 2)))) |
(* y (+ 4 (* (pow y 2) (+ 2/3 (* 1/30 (pow y 2)))))) |
(* y (+ 4 (* (pow y 2) (+ 2/3 (* (pow y 2) (+ 1/30 (* 1/1260 (pow y 2)))))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 2 y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(- (exp y) (/ 1 (exp y))) |
(- (exp y) (/ 1 (exp y))) |
(- (exp y) (/ 1 (exp y))) |
(- (exp y) (/ 1 (exp y))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(* 2 (- (exp y) (/ 1 (exp y)))) |
(* 2 (- (exp y) (/ 1 (exp y)))) |
(* 2 (- (exp y) (/ 1 (exp y)))) |
(* 2 (- (exp y) (/ 1 (exp y)))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(- (exp y) (exp (neg y))) |
(- (exp y) (exp (neg y))) |
(- (exp y) (exp (neg y))) |
(- (exp y) (exp (neg y))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(- (exp y) (/ 1 (exp y))) |
(- (exp y) (/ 1 (exp y))) |
(- (exp y) (/ 1 (exp y))) |
(- (exp y) (/ 1 (exp y))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(* 2 (- (exp y) (/ 1 (exp y)))) |
(* 2 (- (exp y) (/ 1 (exp y)))) |
(* 2 (- (exp y) (/ 1 (exp y)))) |
(* 2 (- (exp y) (/ 1 (exp y)))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(- (exp y) (exp (* -1 y))) |
(- (exp y) (exp (* -1 y))) |
(- (exp y) (exp (* -1 y))) |
(- (exp y) (exp (* -1 y))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
| Outputs |
|---|
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
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(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
| 5 520× | lower-fma.f32 |
| 5 510× | lower-fma.f64 |
| 4 260× | lower-/.f32 |
| 4 254× | lower-/.f64 |
| 4 042× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 346 |
| 0 | 79 | 320 |
| 1 | 263 | 312 |
| 2 | 1650 | 296 |
| 0 | 8249 | 292 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(sin.f64 x) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) |
(*.f64 y y) |
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(sin.f64 x) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y))))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)))) |
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(pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) #s(literal -2 binary64)) |
(/.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (neg.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sinh.f64 y))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (sinh.f64 y))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 y))) |
(/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (sinh.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) (pow.f64 (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 4 binary64) (sinh.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (sinh.f64 y))) |
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1 binary64)) |
(*.f64 (sinh.f64 y) #s(literal 4 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (cosh.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 y))) |
(pow.f64 (/.f64 #s(literal 1/4 binary64) (sinh.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (exp.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (*.f64 #s(literal 2 binary64) (exp.f64 y))) (*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 y))) (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 y))))) (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (exp.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 2 binary64))) (*.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (*.f64 #s(literal 2 binary64) (exp.f64 y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 y))) (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 y)))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 y))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) #s(literal 2 binary64))) (neg.f64 (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (neg.f64 (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 y)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) (sinh.f64 y)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (sinh.f64 y))) |
(neg.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 y))) |
(fma.f64 #s(literal 2 binary64) (exp.f64 y) (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 y)))) |
(fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (sinh.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (sinh.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 y)))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 #s(literal 1/5040 binary64) y) y) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 #s(literal 1/5040 binary64) y)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
Compiled 23 954 to 2 834 computations (88.2% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 184 | 18 | 1 202 |
| Fresh | 3 | 9 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 190 | 30 | 1 220 |
| Status | Accuracy | Program |
|---|---|---|
| 88.9% | (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y) | |
| 54.5% | (*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y)) | |
| ✓ | 92.3% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 71.8% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 88.3% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| 27.1% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) | |
| 58.0% | (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 48.5% | (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 91.3% | #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) |
| 49.3% | #s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) | |
| 66.0% | #s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y))) | |
| 49.3% | #s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) | |
| 51.2% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| ▶ | 66.1% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
| 50.3% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| 26.4% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) | |
| 26.3% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) | |
| ▶ | 52.6% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
| 26.7% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) | |
| 60.2% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) | |
| ✓ | 48.2% | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
| 60.4% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) | |
| ▶ | 59.5% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
| 53.7% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) | |
| 48.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) | |
| 24.9% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) | |
| ▶ | 26.9% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
| 24.9% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) | |
| 35.7% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) | |
| 32.0% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
Compiled 869 to 652 computations (25% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | (/.f64 (sinh.f64 y) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (sinh.f64 y) y) x) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) | |
| cost-diff | 6400 | (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) |
| 4 534× | lower-*.f32 |
| 4 518× | lower-*.f64 |
| 3 022× | lower-fma.f32 |
| 3 006× | lower-fma.f64 |
| 1 844× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 484 |
| 0 | 95 | 464 |
| 1 | 201 | 454 |
| 2 | 510 | 432 |
| 3 | 1822 | 427 |
| 4 | 6717 | 427 |
| 0 | 8090 | 421 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) |
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) |
(sin.f64 x) |
x |
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
x |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
(*.f64 y y) |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
(*.f64 (/.f64 (sinh.f64 y) y) x) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
x |
| Outputs |
|---|
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (sin.f64 x))) |
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) |
(sin.f64 x) |
x |
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
x |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) |
(*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
(*.f64 y y) |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 x y) (sinh.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) y) x) |
(*.f64 (/.f64 x y) (sinh.f64 y)) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 (sinh.f64 y) y) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 (sinh.f64 y) y) x) | |
| accuracy | 0.0078125 | (sinh.f64 y) | |
| accuracy | 13.951489439580012 | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) | |
| accuracy | 0.125 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 0.30089751146910276 | #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) | |
| accuracy | 5.679194882746965 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) | |
| accuracy | 13.951489439580012 | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 0.0078125 | (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.3429470213498055 | #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 13.951489439580012 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x) | |
| accuracy | 0.38167636463054755 | #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) | |
| accuracy | 0.552349974008615 | #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) | |
| accuracy | 13.951489439580012 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 0.18359375 | (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) | |
| accuracy | 0.30141698258436467 | #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) |
| 257.0ms | 134× | 5 | exit |
| 69.0ms | 74× | 1 | valid |
| 52.0ms | 40× | 2 | valid |
| 4.0ms | 8× | 0 | valid |
Compiled 320 to 59 computations (81.6% saved)
adjust: 71.0ms (25.6% of total)ival-mult: 69.0ms (24.9% of total)const: 35.0ms (12.6% of total)ival-exp: 24.0ms (8.6% of total)ival-add: 22.0ms (7.9% of total)ival-sin: 19.0ms (6.8% of total)ival-div: 16.0ms (5.8% of total)ival-neg: 9.0ms (3.2% of total)ival-pow2: 5.0ms (1.8% of total)ival-sub: 4.0ms (1.4% of total)ival-sinh: 2.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) (patch (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) (patch #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (patch (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #<representation:binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sinh.f64 y) y) x) (patch (*.f64 (/.f64 (sinh.f64 y) y) x) #<representation:binary64>) () ()) |
#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ()) |
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (patch #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (sin x) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) (patch (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) (patch (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) (patch (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) (patch (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) (patch #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) (patch #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) (patch #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) (patch #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/6 (sin x)) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (patch (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (patch (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (patch (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (patch (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (sin x) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* 1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) (taylor 0 y) (#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) #<representation:binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (sin x) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* x (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (* (/ (sinh y) y) x) (/ (sinh y) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) |
| 4.0ms | x | @ | -inf | ((+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (sin x) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* x (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (* (/ (sinh y) y) x) (/ (sinh y) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) |
| 4.0ms | y | @ | inf | ((+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (sin x) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* x (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (* (/ (sinh y) y) x) (/ (sinh y) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) |
| 4.0ms | x | @ | inf | ((+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (sin x) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* x (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (* (/ (sinh y) y) x) (/ (sinh y) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) |
| 4.0ms | y | @ | -inf | ((+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (sin x) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* x (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (* (/ (sinh y) y) x) (/ (sinh y) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) |
| 1× | egg-herbie |
| 17 260× | lower-fma.f64 |
| 17 260× | lower-fma.f32 |
| 6 480× | lower-+.f64 |
| 6 480× | lower-+.f32 |
| 5 498× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 5965 |
| 1 | 842 | 5766 |
| 2 | 2690 | 5386 |
| 3 | 7145 | 5354 |
| 0 | 8247 | 5055 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(* 1/6 (sin x)) |
(+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))) |
(+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))) |
(+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* 1/6 (* x (pow y 2)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(* 2 y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(* 1/5040 (* (pow y 6) (sin x))) |
(* (pow y 6) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4)))))) |
(* (pow y 6) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (+ (* 1/6 (/ (sin x) (pow y 4))) (/ (sin x) (pow y 6)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/5040 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4)))))) |
(* (pow y 4) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(- (exp y) (/ 1 (exp y))) |
(- (exp y) (/ 1 (exp y))) |
(- (exp y) (/ 1 (exp y))) |
(- (exp y) (/ 1 (exp y))) |
(* 1/5040 (* (pow y 6) (sin x))) |
(* (pow y 6) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4)))))) |
(* (pow y 6) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (+ (* 1/6 (/ (sin x) (pow y 4))) (/ (sin x) (pow y 6)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/5040 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4)))))) |
(* (pow y 4) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y)) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(- (exp y) (/ 1 (exp y))) |
(- (exp y) (/ 1 (exp y))) |
(- (exp y) (/ 1 (exp y))) |
(- (exp y) (/ 1 (exp y))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* x (+ 1 (+ (* (pow x 2) (- (* -1/6 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) 1/6)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
(* x (+ 1 (+ (* (pow x 2) (- (+ (* -1/6 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow x 2) (+ 1/120 (* 1/120 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) 1/6)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
(* x (+ 1 (+ (* (pow x 2) (- (+ (* -1/6 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow x 2) (+ 1/120 (+ (* 1/120 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow x 2) (- (* -1/5040 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) 1/5040)))))) 1/6)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* x (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* x (+ 1/6 (+ (* -1/6 (* (pow x 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* x (+ 1/6 (+ (* (pow x 2) (+ (* -1/6 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* x (+ 1/6 (+ (* (pow x 2) (+ (* -1/6 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (* 1/120 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(+ (sin x) (* (pow y 2) (* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ (sin x) (* (pow y 2) (* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ (sin x) (* (pow y 2) (* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ (sin x) (* (pow y 2) (* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(+ (sin x) (* (pow y 2) (* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ (sin x) (* (pow y 2) (* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ (sin x) (* (pow y 2) (* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ (sin x) (* (pow y 2) (* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* (sin x) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
| Outputs |
|---|
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) |
(* 1/6 (sin x)) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))) |
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) |
(+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) |
(+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
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(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
| 5 380× | lower-*.f32 |
| 5 364× | lower-*.f64 |
| 4 596× | lower-/.f32 |
| 4 592× | lower-/.f64 |
| 4 168× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 392 |
| 0 | 95 | 368 |
| 1 | 373 | 358 |
| 2 | 2546 | 335 |
| 0 | 9110 | 331 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) |
(sin.f64 x) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
(*.f64 (/.f64 (sinh.f64 y) y) x) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
| Outputs |
|---|
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (hypot.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) (sin.f64 x) (sin.f64 x)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) y)) y (sin.f64 x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y))) |
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(+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) |
#s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
Compiled 19 991 to 2 522 computations (87.4% saved)
36 alts after pruning (31 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 963 | 10 | 973 |
| Fresh | 1 | 21 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 967 | 36 | 1 003 |
| Status | Accuracy | Program |
|---|---|---|
| 88.9% | (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y) | |
| 54.5% | (*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y)) | |
| ✓ | 71.8% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 88.3% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| 27.1% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) | |
| 58.0% | (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 48.5% | (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| 71.8% | #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 #s(approx (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x))) | |
| 61.5% | #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) | |
| 26.8% | #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) | |
| 49.3% | #s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) | |
| 66.0% | #s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y))) | |
| 49.3% | #s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) | |
| 51.2% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| ✓ | 66.1% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
| 50.3% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) | |
| 26.4% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) | |
| 26.3% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) | |
| ✓ | 52.6% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
| 26.7% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) | |
| 62.2% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) | |
| 60.2% | #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) | |
| ✓ | 48.2% | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
| 53.7% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) | |
| 55.9% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) | |
| 60.4% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) | |
| 55.9% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) | |
| 59.5% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) | |
| 59.5% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) | |
| 59.4% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) | |
| 48.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) | |
| 24.9% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) | |
| ✓ | 26.9% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
| 24.9% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) | |
| 35.7% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) | |
| 32.0% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
Compiled 1 381 to 648 computations (53.1% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y))) |
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 #s(approx (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y)) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 35.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 25.0ms | x |
| 15.0ms | (sin.f64 x) |
| 15.0ms | y |
| 12.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 100.0% | 1 | (sin.f64 x) |
| 100.0% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y))) |
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 #s(approx (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
5 calls:
| 26.0ms | (sin.f64 x) |
| 13.0ms | x |
| 13.0ms | y |
| 12.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 10.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 2 | x |
| 98.8% | 3 | y |
| 98.8% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 96.7% | 3 | (sin.f64 x) |
| 92.4% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y))) |
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
1 calls:
| 11.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y))) |
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
1 calls:
| 11.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
2 calls:
| 36.0ms | y |
| 11.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 3 | y |
| 97.3% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
2 calls:
| 11.0ms | x |
| 10.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 2 | x |
| 96.9% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
1 calls:
| 10.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
5 calls:
| 30.0ms | (/.f64 (sinh.f64 y) y) |
| 24.0ms | y |
| 11.0ms | (sin.f64 x) |
| 11.0ms | x |
| 10.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 2 | (/.f64 (sinh.f64 y) y) |
| 87.1% | 2 | x |
| 87.1% | 3 | (sin.f64 x) |
| 93.0% | 3 | y |
| 93.1% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) |
1 calls:
| 9.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
2 calls:
| 17.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 3 | y |
| 89.4% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
5 calls:
| 48.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 38.0ms | y |
| 37.0ms | (sin.f64 x) |
| 9.0ms | x |
| 7.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 4 | (sin.f64 x) |
| 71.3% | 2 | x |
| 83.4% | 2 | y |
| 83.4% | 2 | (/.f64 (sinh.f64 y) y) |
| 83.6% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
5 calls:
| 30.0ms | y |
| 9.0ms | (sin.f64 x) |
| 9.0ms | x |
| 8.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 7.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 1 | x |
| 62.2% | 1 | (sin.f64 x) |
| 62.2% | 1 | y |
| 62.2% | 1 | (/.f64 (sinh.f64 y) y) |
| 62.2% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) y)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))))) |
| Outputs |
|---|
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
5 calls:
| 42.0ms | (/.f64 (sinh.f64 y) y) |
| 7.0ms | (sin.f64 x) |
| 7.0ms | x |
| 7.0ms | y |
| 7.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 61.5% | 1 | (sin.f64 x) |
| 61.5% | 1 | x |
| 61.5% | 1 | y |
| 61.5% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
5 calls:
| 19.0ms | (/.f64 (sinh.f64 y) y) |
| 6.0ms | x |
| 6.0ms | (sin.f64 x) |
| 6.0ms | y |
| 5.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 60.4% | 1 | (sin.f64 x) |
| 60.4% | 1 | x |
| 60.4% | 1 | y |
| 60.4% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
5 calls:
| 22.0ms | y |
| 5.0ms | (sin.f64 x) |
| 5.0ms | x |
| 5.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 4.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.5% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 59.5% | 1 | (sin.f64 x) |
| 59.5% | 1 | x |
| 59.5% | 1 | y |
| 59.5% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
5 calls:
| 30.0ms | (sin.f64 x) |
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 3.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.4% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 59.4% | 1 | (sin.f64 x) |
| 59.4% | 1 | x |
| 59.4% | 1 | (/.f64 (sinh.f64 y) y) |
| 59.4% | 1 | y |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
5 calls:
| 2.0ms | (sin.f64 x) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 48.3% | 1 | (sin.f64 x) |
| 48.3% | 1 | x |
| 48.3% | 1 | (/.f64 (sinh.f64 y) y) |
| 48.3% | 1 | y |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))) |
5 calls:
| 2.0ms | x |
| 2.0ms | (sin.f64 x) |
| 2.0ms | y |
| 2.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.2% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 37.7% | 2 | (sin.f64 x) |
| 48.2% | 2 | y |
| 48.2% | 2 | (/.f64 (sinh.f64 y) y) |
| 37.8% | 2 | x |
Compiled 15 to 17 computations (-13.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
5 calls:
| 71.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | y |
| 1.0ms | (sin.f64 x) |
| 1.0ms | x |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.9% | 1 | (sin.f64 x) |
| 26.9% | 1 | x |
| 26.9% | 1 | (/.f64 (sinh.f64 y) y) |
| 26.9% | 1 | y |
| 26.9% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.891707437682115e+131 | +inf |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.891707437682115e+131 | +inf |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.891707437682115e+131 | +inf |
| 0.0ms | -inf | -0.9995174073405032 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.891707437682115e+131 | +inf |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.891707437682115e+131 | +inf |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.891707437682115e+131 | +inf |
| 0.0ms | -inf | -0.9995174073405032 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.891707437682115e+131 | +inf |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.891707437682115e+131 | +inf |
| 0.0ms | -inf | -0.9995174073405032 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9993870069489142 | 9.891707437682115e+131 |
| 0.0ms | -inf | -0.9995174073405032 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9993870069489142 | 9.891707437682115e+131 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9780540702804412 | 0.9934276390974162 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
| 48× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 970 |
| 1 | 169 | 970 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal -inf.0 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal -inf.0 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) x)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) x)) |
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) x) (*.f64 y y) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) |
| 17 260× | lower-fma.f64 |
| 17 260× | lower-fma.f32 |
| 16 234× | lower-fma.f64 |
| 16 234× | lower-fma.f32 |
| 15 526× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 26 | 15 |
| 2 | 121 | 15 |
| 3 | 870 | 15 |
| 0 | 8384 | 15 |
| 0 | 265 | 4238 |
| 1 | 838 | 4196 |
| 2 | 2449 | 3933 |
| 3 | 5313 | 3921 |
| 4 | 7384 | 3921 |
| 0 | 8051 | 3745 |
| 0 | 65 | 392 |
| 0 | 95 | 368 |
| 1 | 373 | 358 |
| 2 | 2546 | 335 |
| 0 | 9110 | 331 |
| 0 | 249 | 5965 |
| 1 | 842 | 5766 |
| 2 | 2690 | 5386 |
| 3 | 7145 | 5354 |
| 0 | 8247 | 5055 |
| 0 | 202 | 4390 |
| 1 | 602 | 4355 |
| 2 | 1670 | 4139 |
| 3 | 4579 | 4093 |
| 0 | 8702 | 3926 |
| 0 | 39 | 223 |
| 0 | 67 | 217 |
| 1 | 225 | 217 |
| 2 | 1478 | 200 |
| 0 | 8426 | 200 |
| 0 | 92 | 700 |
| 1 | 288 | 693 |
| 2 | 903 | 643 |
| 3 | 3157 | 635 |
| 4 | 7386 | 635 |
| 0 | 8545 | 605 |
| 0 | 53 | 346 |
| 0 | 79 | 320 |
| 1 | 263 | 312 |
| 2 | 1650 | 296 |
| 0 | 8249 | 292 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 240 to 695 computations (44% saved)
(negabs x)
(abs y)
Compiled 1 298 to 370 computations (71.5% saved)
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