
Time bar (total: 8.9s)
| 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)
| 996.0ms | 8 256× | 0 | valid |
ival-sin: 237.0ms (35% of total)ival-div: 217.0ms (32.1% of total)ival-mult: 133.0ms (19.7% of total)ival-sinh: 78.0ms (11.5% of total)ival-true: 7.0ms (1% of total)ival-assert: 4.0ms (0.6% 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 |
| 245.0ms | 512× | 0 | valid |
Compiled 62 to 28 computations (54.8% saved)
ival-sin: 12.0ms (50.8% of total)ival-div: 4.0ms (16.9% of total)ival-mult: 3.0ms (12.7% of total)ival-sinh: 3.0ms (12.7% of total)ival-true: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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)) |
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 | 0.00390625 | (/.f64 (sinh.f64 y) y) | |
| accuracy | 0.00390625 | (sinh.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.0078125 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 65.0ms | 256× | 0 | valid |
Compiled 36 to 14 computations (61.1% saved)
ival-sin: 37.0ms (88.3% of total)ival-div: 2.0ms (4.8% of total)ival-mult: 2.0ms (4.8% of total)ival-sinh: 2.0ms (4.8% 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 | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | ((* (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)) |
| 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 | x | @ | 0 | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y)) |
| 1× | egg-herbie |
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) |
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 |
|---|
#<batchref> |
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Compiled 12 795 to 2 071 computations (83.8% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 696 | 6 | 702 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 696 | 7 | 703 |
| Status | Accuracy | Program |
|---|---|---|
| 50.9% | (*.f64 (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 (*.f64 y y))) y) | |
| ▶ | 88.4% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) |
| ✓ | 100.0% | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| ▶ | 92.0% | (*.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)))) |
| ▶ | 90.0% | (*.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)))) |
| ▶ | 76.9% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 54.4% | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
Compiled 149 to 118 computations (20.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (sinh.f64 y)) | |
| cost-diff | 0 | (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) | |
| 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 | (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 | (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)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 233 |
| 0 | 53 | 233 |
| 1 | 101 | 232 |
| 2 | 193 | 230 |
| 3 | 514 | 230 |
| 4 | 1324 | 230 |
| 5 | 3379 | 230 |
| 6 | 4733 | 230 |
| 7 | 5704 | 230 |
| 8 | 7027 | 230 |
| 0 | 8025 | 230 |
| 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 (*.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) |
(*.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) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) |
(neg.f64 (sinh.f64 y)) |
(sinh.f64 y) |
(sin.f64 x) |
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)))) |
(*.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 (*.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) |
(*.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) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) |
(neg.f64 (sinh.f64 y)) |
(sinh.f64 y) |
(sin.f64 x) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sinh.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.05078125 | (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) | |
| accuracy | 7.445829260615233 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) | |
| accuracy | 0.0078125 | (*.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 | 0.0390625 | (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 | 0.0625 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 6.300268688846465 | #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 | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.0078125 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.10546875 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 14.563219930707378 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 29.16278772771813 | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) | |
| accuracy | 0.015625 | (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 | 0.037441259768442016 | (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 | 0.06640625 | (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 5.064531384542133 | #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))) |
| 86.0ms | 256× | 0 | valid |
Compiled 372 to 57 computations (84.7% saved)
const: 21.0ms (35.9% of total)ival-mult: 17.0ms (29.1% of total)ival-add: 7.0ms (12% of total)ival-sin: 7.0ms (12% of total)ival-div: 4.0ms (6.8% of total)ival-sinh: 2.0ms (3.4% of total)ival-neg: 1.0ms (1.7% 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 (*.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 (*.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 (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 (*.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 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (patch (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (sinh.f64 y)) (patch (neg.f64 (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 (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 (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 (*.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 (+ (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 (*.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 (+ (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 (*.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 (+ (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 (*.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 (taylor 0 y) (#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 (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#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 (+ 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 (*.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 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>) () ())) ()) |
#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>) () ())) ()) |
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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)) (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 (*.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 (/ (* (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 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf x) (#s(alt (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (patch (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf x) (#s(alt (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (patch (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf x) (#s(alt (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (patch (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf x) (#s(alt (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (patch (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) #<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 (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>) () ())) ()) |
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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 (*.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 (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>) () ())) ()) |
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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 #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 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (patch (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (patch (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (patch (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (patch (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | 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) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (/ -1 y) (* (neg (sinh y)) (sin x))) (/ -1 y) (* (neg (sinh y)) (sin x)) (neg (sinh y)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (sinh y)) |
| 3.0ms | 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) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (/ -1 y) (* (neg (sinh y)) (sin x))) (/ -1 y) (* (neg (sinh y)) (sin x)) (neg (sinh y)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (sinh y)) |
| 3.0ms | 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) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (/ -1 y) (* (neg (sinh y)) (sin x))) (/ -1 y) (* (neg (sinh y)) (sin x)) (neg (sinh y)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (sinh y)) |
| 1.0ms | 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) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (/ -1 y) (* (neg (sinh y)) (sin x))) (/ -1 y) (* (neg (sinh y)) (sin x)) (neg (sinh y)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (sinh y)) |
| 1.0ms | 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) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (/ -1 y) (* (neg (sinh y)) (sin x))) (/ -1 y) (* (neg (sinh y)) (sin x)) (neg (sinh y)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (sinh y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 3697 |
| 1 | 602 | 3628 |
| 2 | 1865 | 3413 |
| 3 | 4530 | 3393 |
| 0 | 8192 | 3221 |
| 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 (* 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))))))) |
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))))) |
(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 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (* y (sin x))) |
(* y (+ (* -1 (sin x)) (* -1/6 (* (pow y 2) (sin x))))) |
(* y (+ (* -1 (sin x)) (* (pow y 2) (+ (* -1/6 (sin x)) (* -1/120 (* (pow y 2) (sin x))))))) |
(* y (+ (* -1 (sin x)) (* (pow y 2) (+ (* -1/6 (sin x)) (* (pow y 2) (+ (* -1/120 (sin x)) (* -1/5040 (* (pow y 2) (sin x))))))))) |
(* -1 y) |
(* y (- (* -1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (- (* -1/120 (pow y 2)) 1/6)) 1)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1/5040 (pow y 2)) 1/120)) 1/6)) 1)) |
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))) |
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)) |
(* 1/6 (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 (/ (- (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 (/ (* (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 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* -1/2 (* (sin x) (- (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 (- (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 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))))) |
(* 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)) |
(* 1/6 (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 (/ (- (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 (/ (* (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 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* -1/2 (* (sin x) (- (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 (- (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 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))))) |
(* 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) (/ 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) (/ 1 (exp y))))) |
(* x (+ (* -1/2 (- (exp y) (/ 1 (exp y)))) (* 1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))) |
(* x (+ (* -1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/12 (- (exp y) (/ 1 (exp y)))))))) |
(* x (+ (* -1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* 1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/240 (- (exp y) (/ 1 (exp y)))) (* 1/10080 (* (pow x 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)) |
(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 (/ (* (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 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* -1/2 (* (sin x) (- (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)) |
(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 (/ (* (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 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp 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)) |
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(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))))) |
(* 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)))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.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))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) x) |
(* 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 x x) #s(literal -1/12 binary64) #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)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))))) |
(* 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)))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.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))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) x) |
(* 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 x x) #s(literal -1/12 binary64) #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)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))))) |
(* 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)))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.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))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) x) |
(* 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 x x) #s(literal -1/12 binary64) #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)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))))) |
(* 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)))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.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))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) x) |
(* -1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* x (+ (* -1/2 (- (exp y) (/ 1 (exp y)))) (* 1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* x (+ (* -1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/12 (- (exp y) (/ 1 (exp y)))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) x) |
(* x (+ (* -1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* 1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/240 (- (exp y) (/ 1 (exp y)))) (* 1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/10080 binary64) (*.f64 x x) #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.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 (/ (* (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)))) |
(* 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 (/ (* (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 (/ (* (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 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.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 (/ (* (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)))) |
(* 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 (/ (* (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 (/ (* (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 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 197 |
| 0 | 53 | 197 |
| 1 | 183 | 194 |
| 2 | 1151 | 194 |
| 0 | 8422 | 194 |
| 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 (*.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))) |
(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 (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 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) |
(neg.f64 (sinh.f64 y)) |
(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)) |
(sinh.f64 y) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 18 068 to 2 271 computations (87.4% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 768 | 19 | 787 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 773 | 21 | 794 |
| Status | Accuracy | Program |
|---|---|---|
| 88.4% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) | |
| 81.1% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (neg (sinh y)) (*.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)) y)) (sin.f64 x))) | |
| 79.5% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (neg (sinh 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)) y)) (sin.f64 x))) | |
| ✓ | 100.0% | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 92.0% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 92.0% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))) | |
| 90.0% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 92.0% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) |
| 76.9% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) | |
| 91.4% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 89.6% | (*.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)))) | |
| 39.2% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) | |
| 26.1% | (*.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))))) | |
| 61.6% | (*.f64 #s(approx (sin x) (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)) #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)))) | |
| ▶ | 60.9% | (*.f64 #s(approx (sin x) (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)) #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)))) |
| 51.5% | (*.f64 #s(approx (sin x) (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)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 47.4% | (*.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)))) |
| ✓ | 54.4% | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 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 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
| 38.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (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))) | |
| ▶ | 34.3% | #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 678 to 500 computations (26.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (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) | |
| cost-diff | 0 | #s(approx (sin x) (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)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (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)) #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 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) | |
| cost-diff | 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 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) | |
| cost-diff | 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))) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (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))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 406 |
| 0 | 74 | 406 |
| 1 | 142 | 406 |
| 2 | 286 | 406 |
| 3 | 625 | 406 |
| 4 | 1211 | 406 |
| 5 | 1644 | 406 |
| 6 | 2148 | 406 |
| 7 | 3161 | 406 |
| 8 | 4373 | 406 |
| 9 | 5400 | 406 |
| 10 | 6011 | 406 |
| 11 | 6299 | 406 |
| 12 | 7415 | 406 |
| 0 | 8119 | 406 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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) |
x |
#s(approx (/ (sinh y) y) (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))) |
(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)) |
(*.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) |
(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 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 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))) |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/6 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)))) |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#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)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 x x) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 #s(approx (sin x) (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)) #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)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) |
(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) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
#s(literal 1/120 binary64) |
#s(literal -1/6 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)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) 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)) y) y #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (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))) |
#s(approx (/ (sinh y) 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)) y) y #s(literal 1 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)) y) y #s(literal 1 binary64)) |
(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 #s(literal 1 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)) y) |
(*.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) |
(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 (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 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 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))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/6 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 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#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)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (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)) (pow.f64 x #s(literal 3 binary64)) x))) |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
#s(approx (sin x) (fma.f64 (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)) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (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)) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 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)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x x) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 #s(approx (sin x) (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)) #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))) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) |
#s(approx (sin x) (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)) |
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(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) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
#s(literal 1/120 binary64) |
#s(literal -1/6 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)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 0.078125 | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 6.300268688846465 | #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 | 28.646973161966905 | #s(approx (sin x) (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)) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 28.638199341457543 | #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) | |
| accuracy | 29.16278772771813 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) | |
| accuracy | 0.10546875 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.2575379355504247 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) | |
| accuracy | 14.563219930707378 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 28.63901068340827 | #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) | |
| accuracy | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.2575379355504247 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) | |
| accuracy | 28.63901068340827 | #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) | |
| accuracy | 29.16278772771813 | #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))) | |
| accuracy | 0.037441259768442016 | (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)) | |
| accuracy | 0.06640625 | (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 0.1796875 | (*.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) | |
| accuracy | 5.064531384542133 | #s(approx (/ (sinh y) y) (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))) |
| 107.0ms | 256× | 0 | valid |
Compiled 619 to 80 computations (87.1% saved)
ival-mult: 36.0ms (43% of total)ival-add: 17.0ms (20.3% of total)const: 17.0ms (20.3% of total)ival-sin: 7.0ms (8.4% of total)ival-pow: 3.0ms (3.6% of total)ival-div: 2.0ms (2.4% of total)ival-sinh: 2.0ms (2.4% 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 (*.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)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (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))) (patch #s(approx (/ (sinh y) y) (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))) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (patch #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) (patch #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (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)) #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 #s(approx (sin x) (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)) #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 (sin x) (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)) (patch #s(approx (sin x) (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)) #<representation binary64>) () ()) |
#s(alt (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) (patch (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) #<representation binary64>) () ()) |
#s(alt (*.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) (patch (*.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) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<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 (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 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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>) () ()) |
| Outputs |
|---|
#s(alt (sin x) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) #<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 (*.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)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) #<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 (*.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)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) #<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 (*.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)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (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))) (patch #s(approx (/ (sinh y) y) (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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (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))) (patch #s(approx (/ (sinh y) y) (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))) #<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 (*.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))) (patch #s(approx (/ (sinh y) y) (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))) #<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 (*.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))) (patch #s(approx (/ (sinh y) y) (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))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (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)) (patch (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)) #<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 (*.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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor 0 y) (#s(alt #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))) (patch #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))) #<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 (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (patch #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))) #<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 (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (patch #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))) #<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 (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<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 #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)))) (patch (*.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)))) #<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 #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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor 0 y) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 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 (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 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 (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 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 (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) #<representation binary64>) () ())) ()) |
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#s(alt (sin x) (taylor -inf x) (#s(alt #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) (patch #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (sin x) (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)) #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 #s(approx (sin x) (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)) #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 #s(approx (sin x) (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)) #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 #s(approx (sin x) (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)) #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>) () ())) ()) |
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#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (sin x) (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)) #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 #s(approx (sin x) (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)) #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) (taylor -inf x) (#s(alt #s(approx (sin x) (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)) (patch #s(approx (sin x) (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)) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt #s(approx (sin x) (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)) (patch #s(approx (sin x) (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)) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt #s(approx (sin x) (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)) (patch #s(approx (sin x) (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)) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt #s(approx (sin x) (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)) (patch #s(approx (sin x) (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)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) (taylor -inf x) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) (taylor -inf x) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) y) y) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6)) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (* x x) 1/120) -1/6)) x) (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) y) (+ (* (* y y) 1/5040) 1/120) (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (+ (* (* x x) -1/5040) 1/120) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (/ (sinh y) y) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6)) |
| 5.0ms | y | @ | inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) y) y) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6)) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (* x x) 1/120) -1/6)) x) (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) y) (+ (* (* y y) 1/5040) 1/120) (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (+ (* (* x x) -1/5040) 1/120) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (/ (sinh y) y) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6)) |
| 4.0ms | x | @ | -inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) y) y) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6)) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (* x x) 1/120) -1/6)) x) (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) y) (+ (* (* y y) 1/5040) 1/120) (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (+ (* (* x x) -1/5040) 1/120) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (/ (sinh y) y) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6)) |
| 3.0ms | y | @ | -inf | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) y) y) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6)) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (* x x) 1/120) -1/6)) x) (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) y) (+ (* (* y y) 1/5040) 1/120) (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (+ (* (* x x) -1/5040) 1/120) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (/ (sinh y) y) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6)) |
| 1.0ms | x | @ | 0 | ((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) y) y) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6)) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (* x x) 1/120) -1/6)) x) (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) y) (+ (* (* y y) 1/5040) 1/120) (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (+ (* (* x x) -1/5040) 1/120) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (/ (sinh y) y) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 4010 |
| 1 | 556 | 3921 |
| 2 | 1669 | 3721 |
| 3 | 5076 | 3679 |
| 0 | 8113 | 3483 |
| 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))))))) |
(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 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* y (+ 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 (* (pow y 2) (+ 1/120 (* 1/5040 (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))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (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))))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (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 (/ (- (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 (/ (* (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)) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 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)))))) |
(* 1/2 (/ (- (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)) |
(* 1/6 (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 (/ (- (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 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))))) |
(* 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 (/ (* (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)) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* 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)))))) |
(* 1/2 (/ (- (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)) |
(* 1/6 (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 (/ (- (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 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))))) |
(* 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)))))))) |
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)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 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)))))))) |
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)))) |
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)))))))) |
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)))) |
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) (- (* 1/120 (pow x 2)) 1/6)))) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (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) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 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) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 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)) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 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) |
(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) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 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) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 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) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #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 #s(literal 1/6 binary64)) 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)) |
(+ 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 #s(literal 1/6 binary64)) 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)) |
(+ 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 #s(literal 1/6 binary64)) y #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))) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #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))) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #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))) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #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))) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(*.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 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(*.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) |
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 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) 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)) |
(+ 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 #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) 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)) |
(+ 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)) |
1/6 |
#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)) |
(* 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)) |
(* 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 (/ (- (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 (-.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)) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 1/5040 (pow y 5)) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/5040 binary64)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.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 y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.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)))) |
(* 1/5040 (pow y 2)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) |
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x |
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x |
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x |
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1/120 |
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#s(literal -1/6 binary64) |
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(sin.f64 x) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* 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)) |
(* 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)) |
(* 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)) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* -1/5040 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/5040 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* 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)) |
(* 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)) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* 1/120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 329 |
| 0 | 74 | 329 |
| 1 | 290 | 329 |
| 2 | 2071 | 329 |
| 0 | 8568 | 329 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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) |
#s(approx (/ (sinh y) y) (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))) |
(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)) |
#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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(pow.f64 x #s(literal 3 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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(*.f64 #s(approx (sin x) (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)) #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)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) |
(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) |
(*.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) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 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)) |
#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)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
| Outputs |
|---|
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#<batchref> |
Compiled 23 386 to 2 635 computations (88.7% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 893 | 11 | 904 |
| Fresh | 6 | 8 | 14 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 904 | 21 | 925 |
| Status | Accuracy | Program |
|---|---|---|
| 88.4% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) | |
| 81.1% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (neg (sinh y)) (*.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)) y)) (sin.f64 x))) | |
| 79.5% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (neg (sinh 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)) y)) (sin.f64 x))) | |
| ✓ | 100.0% | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 92.0% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))) | |
| ▶ | 90.0% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 92.0% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
| ▶ | 92.0% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64)))) |
| 91.4% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) y) y #s(literal 1 binary64)))) | |
| 76.9% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) | |
| 91.4% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 39.2% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) | |
| 61.6% | (*.f64 #s(approx (sin x) (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)) #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)))) | |
| 60.9% | (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) | |
| 47.4% | (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) | |
| 18.2% | (*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (* x x) 1/120) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 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)))) | |
| ✓ | 54.4% | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
| ▶ | 35.7% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
| 34.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) | |
| 34.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) | |
| ▶ | 34.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
Compiled 708 to 502 computations (29.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (*.f64 (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)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x)) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) 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 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 471 |
| 0 | 85 | 451 |
| 1 | 159 | 451 |
| 2 | 274 | 445 |
| 3 | 654 | 445 |
| 4 | 1403 | 445 |
| 5 | 2492 | 445 |
| 6 | 3268 | 445 |
| 7 | 4244 | 445 |
| 8 | 5065 | 445 |
| 9 | 6319 | 445 |
| 10 | 6802 | 445 |
| 11 | 7128 | 445 |
| 0 | 8153 | 439 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #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)))) |
#s(literal 1 binary64) |
(/.f64 #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 #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 (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
#s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x)) |
(fma.f64 (*.f64 (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)) (*.f64 x x)) x x) |
(*.f64 (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)) (*.f64 x x)) |
(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)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(literal 1 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/5040 binary64) y) |
#s(literal 1/5040 binary64) |
y |
#s(literal 1/120 binary64) |
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (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)) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (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))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 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)) y) y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) |
(*.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) |
(/.f64 #s(literal 1 binary64) (/.f64 #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)) |
#s(literal 1 binary64) |
(/.f64 #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))) |
(/.f64 #s(literal 1 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 (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 (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x 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))) |
#s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) |
#s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x)) |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) |
(fma.f64 (*.f64 (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)) (*.f64 x x)) x x) |
(fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(*.f64 (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)) (*.f64 x x)) |
(*.f64 (*.f64 (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) x) |
(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)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(literal 1 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (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)) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (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))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 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)) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(*.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) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) 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 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/5040 binary64) y) |
(*.f64 y #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
y |
#s(literal 1/120 binary64) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.037441259768442016 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 0.06640625 | (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) | |
| accuracy | 0.1796875 | (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) | |
| accuracy | 5.064531384542133 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) | |
| accuracy | 0.0390625 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) | |
| accuracy | 0.1171875 | (*.f64 #s(literal 1/120 binary64) y) | |
| accuracy | 6.300268688846465 | #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.0703125 | (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) | |
| accuracy | 0.09603500976844202 | (*.f64 (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)) (*.f64 x x)) | |
| accuracy | 28.638199341457543 | #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x)) | |
| accuracy | 29.16278772771813 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) | |
| accuracy | 0.046875 | (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) | |
| accuracy | 0.15234375 | (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) | |
| accuracy | 28.63901068340827 | #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) | |
| accuracy | 29.16278772771813 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) | |
| accuracy | 0.06640625 | (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 0.1019384839299778 | (/.f64 #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))) | |
| accuracy | 0.1796875 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) | |
| accuracy | 5.064531384542133 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64))) |
| 114.0ms | 256× | 0 | valid |
Compiled 768 to 89 computations (88.4% saved)
ival-mult: 42.0ms (46.8% of total)const: 16.0ms (17.8% of total)ival-add: 13.0ms (14.5% of total)ival-div: 9.0ms (10% of total)ival-sin: 7.0ms (7.8% of total)ival-sinh: 1.0ms (1.1% 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 #s(literal 1 binary64) (/.f64 #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)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) 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 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) (patch #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x)) (patch #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (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)) (*.f64 x x)) (patch (*.f64 (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)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #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))) (patch (/.f64 #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))) #<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 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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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 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) (* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* x x) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) y) y) 1) (* (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) y) (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (* -1/6 (* x x)) x) x) (+ (* -1/5040 (* x x)) 1/120) (* 1/120 y) (+ (* (* 1/120 y) y) 1/6) (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) y) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6)) |
| 3.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) (* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* x x) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) y) y) 1) (* (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) y) (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (* -1/6 (* x x)) x) x) (+ (* -1/5040 (* x x)) 1/120) (* 1/120 y) (+ (* (* 1/120 y) y) 1/6) (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) y) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6)) |
| 3.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) (* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* x x) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) y) y) 1) (* (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) y) (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (* -1/6 (* x x)) x) x) (+ (* -1/5040 (* x x)) 1/120) (* 1/120 y) (+ (* (* 1/120 y) y) 1/6) (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) y) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6)) |
| 2.0ms | x | @ | inf | ((/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) (* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* x x) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) y) y) 1) (* (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) y) (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (* -1/6 (* x x)) x) x) (+ (* -1/5040 (* x x)) 1/120) (* 1/120 y) (+ (* (* 1/120 y) y) 1/6) (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) y) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6)) |
| 2.0ms | x | @ | -inf | ((/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) (* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* x x) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) y) y) 1) (* (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) y) (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (* -1/6 (* x x)) x) x) (+ (* -1/5040 (* x x)) 1/120) (* 1/120 y) (+ (* (* 1/120 y) y) 1/6) (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) y) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 4340 |
| 1 | 556 | 4269 |
| 2 | 1571 | 4067 |
| 3 | 4510 | 4023 |
| 4 | 7982 | 4023 |
| 0 | 8110 | 3797 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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))))) |
(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))))))) |
(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))))))) |
(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))))) |
(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))))))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
6 |
(+ 6 (* -3/10 (pow y 2))) |
(+ 6 (* (pow y 2) (- (* 11/1400 (pow y 2)) 3/10))) |
(+ 6 (* (pow y 2) (- (* (pow y 2) (+ 11/1400 (* -1/28000 (pow y 2)))) 3/10))) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* y (+ 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 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (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)))))) |
(* 1/2 (/ (* (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 (/ (* (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 (/ (* (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 (/ (* (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)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(/ 5040 (pow y 4)) |
(/ (- 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 4)) |
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (* 211680 (/ 1 (pow y 2)))) (pow y 4)) |
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (+ (* 211680 (/ 1 (pow y 2))) (* 17781120 (/ 1 (pow y 6))))) (pow y 4)) |
(* 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 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 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))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 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)))))) |
(* 1/5040 (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)))))) |
(* 1/2 (/ (* (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 (/ (* (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 (/ (* (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 (/ (* (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)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(/ 5040 (pow y 4)) |
(/ (- 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 4)) |
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (* 211680 (/ 1 (pow y 2)))) (pow y 4)) |
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (+ (* 211680 (/ 1 (pow y 2))) (* 17781120 (/ 1 (pow y 6))))) (pow y 4)) |
(* 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 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 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))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* 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)))))) |
(* 1/2 (/ (* 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)))))))) |
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)))) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 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 |
(* 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)))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (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)))))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 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) |
(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) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 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) |
(sin x) |
(sin x) |
(sin x) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 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 (/ (* (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)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* 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) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 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) |
(sin x) |
(sin x) |
(sin x) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 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 (/ (* (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)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
| Outputs |
|---|
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #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)) |
(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 (*.f64 y y) #s(literal 1/120 binary64) #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 (*.f64 y y) #s(literal 1/120 binary64) #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 (*.f64 y y) #s(literal 1/120 binary64) #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))) |
(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))))) |
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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)) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 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)) |
(* 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)) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* -1/5040 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* -1/5040 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) x (*.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) x (*.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(* 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)) |
(* 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)) |
(* 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)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* -1/5040 (pow x 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 380 |
| 0 | 85 | 364 |
| 1 | 325 | 359 |
| 2 | 1775 | 359 |
| 0 | 8439 | 354 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64)))) |
(sin.f64 x) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
#s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x)) |
(*.f64 (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)) (*.f64 x x)) |
(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)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) |
(/.f64 #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)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
| Outputs |
|---|
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Compiled 30 840 to 3 484 computations (88.7% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 119 | 8 | 1 127 |
| Fresh | 3 | 11 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 124 | 24 | 1 148 |
| Status | Accuracy | Program |
|---|---|---|
| 88.4% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) | |
| 81.1% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (neg (sinh y)) (*.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)) y)) (sin.f64 x))) | |
| 79.5% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (neg (sinh 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)) y)) (sin.f64 x))) | |
| ✓ | 100.0% | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 92.0% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))) | |
| ✓ | 90.0% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 92.0% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
| 91.8% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64)))) | |
| 91.4% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) y) y #s(literal 1 binary64)))) | |
| 76.9% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) | |
| 91.4% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 39.2% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))) | |
| 61.6% | (*.f64 #s(approx (sin x) (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)) #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)))) | |
| 60.9% | (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) | |
| 47.4% | (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) | |
| 18.2% | (*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (* x x) 1/120) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 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)))) | |
| ✓ | 54.4% | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
| 35.7% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) | |
| 38.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) | |
| 34.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) | |
| 34.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) | |
| 34.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) | |
| ✓ | 34.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
| 38.3% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
Compiled 1 134 to 505 computations (55.5% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
#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))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) #s(literal 1/6 binary64)) 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))) |
(*.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) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))) |
(*.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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (* x x) 1/120) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 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)))) |
(*.f64 #s(approx (sin x) (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)) #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 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) |
(*.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 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (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)) #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 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (neg (sinh 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)) y)) (sin.f64 x))) |
(*.f64 #s(approx (sin x) (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)) #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 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (neg (sinh y)) (*.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)) y)) (sin.f64 x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 (*.f64 y y))) y) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 54.0ms | x |
| 18.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 13.0ms | (sin.f64 x) |
| 12.0ms | 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 (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
#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))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) #s(literal 1/6 binary64)) 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))) |
(*.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) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))) |
(*.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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (* x x) 1/120) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 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)))) |
(*.f64 #s(approx (sin x) (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)) #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 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) |
(*.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 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (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)) #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 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (neg (sinh 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)) y)) (sin.f64 x))) |
(*.f64 #s(approx (sin x) (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)) #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 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (neg (sinh y)) (*.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)) y)) (sin.f64 x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (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)) #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)))) |
5 calls:
| 14.0ms | (sin.f64 x) |
| 13.0ms | y |
| 11.0ms | x |
| 10.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 9.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 1 | x |
| 92.0% | 1 | y |
| 93.8% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 92.0% | 1 | (sin.f64 x) |
| 92.0% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
#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))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) #s(literal 1/6 binary64)) 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))) |
(*.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) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))) |
(*.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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (* x x) 1/120) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 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)))) |
(*.f64 #s(approx (sin x) (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)) #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 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) |
(*.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 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (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)) #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 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (neg (sinh 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)) y)) (sin.f64 x))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
3 calls:
| 11.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 10.0ms | y |
| 8.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 1 | y |
| 92.0% | 1 | (/.f64 (sinh.f64 y) y) |
| 92.0% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
#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))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) #s(literal 1/6 binary64)) 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))) |
(*.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) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))) |
(*.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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (* x x) 1/120) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 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)))) |
(*.f64 #s(approx (sin x) (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)) #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 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) y) y #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
5 calls:
| 23.0ms | (/.f64 (sinh.f64 y) y) |
| 23.0ms | x |
| 9.0ms | (sin.f64 x) |
| 8.0ms | y |
| 8.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 1 | (sin.f64 x) |
| 91.4% | 1 | x |
| 91.4% | 1 | y |
| 91.4% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 91.4% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
#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))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) #s(literal 1/6 binary64)) 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))) |
(*.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) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))) |
(*.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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (* x x) 1/120) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 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)))) |
(*.f64 #s(approx (sin x) (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)) #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 (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 (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
5 calls:
| 16.0ms | (/.f64 (sinh.f64 y) y) |
| 12.0ms | x |
| 8.0ms | (sin.f64 x) |
| 8.0ms | y |
| 7.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 1 | (sin.f64 x) |
| 90.0% | 1 | x |
| 90.0% | 1 | y |
| 92.6% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 90.0% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
#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))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) #s(literal 1/6 binary64)) 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))) |
(*.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) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))) |
(*.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)))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
1 calls:
| 6.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 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 (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
#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))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6))) #s(literal 1/6 binary64)) 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))) |
(*.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) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
1 calls:
| 9.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 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 (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
#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 |
|---|
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
1 calls:
| 4.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.3% | 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 (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))) |
5 calls:
| 4.0ms | y |
| 4.0ms | (/.f64 (sinh.f64 y) y) |
| 4.0ms | (sin.f64 x) |
| 4.0ms | x |
| 3.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 2 | x |
| 60.9% | 1 | y |
| 68.4% | 2 | (sin.f64 x) |
| 60.9% | 1 | (/.f64 (sinh.f64 y) y) |
| 68.4% | 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 (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (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)) (*.f64 x x)) x x))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
5 calls:
| 5.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 3.0ms | (sin.f64 x) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 2 | y |
| 47.4% | 1 | (/.f64 (sinh.f64 y) y) |
| 53.2% | 3 | x |
| 57.6% | 2 | (sin.f64 x) |
| 47.4% | 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 (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x))) |
5 calls:
| 5.0ms | (sin.f64 x) |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.3% | 1 | (/.f64 (sinh.f64 y) y) |
| 44.5% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 38.3% | 1 | y |
| 41.2% | 2 | x |
| 44.5% | 2 | (sin.f64 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 (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
5 calls:
| 4.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | x |
| 2.0ms | (sin.f64 x) |
| 2.0ms | y |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.3% | 1 | (/.f64 (sinh.f64 y) y) |
| 34.3% | 1 | y |
| 34.3% | 1 | x |
| 34.3% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 34.3% | 1 | (sin.f64 x) |
Compiled 15 to 17 computations (-13.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0623705270415007 | +inf |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0623705270415007 | +inf |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0623705270415007 | +inf |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0623705270415007 | +inf |
| 0.0ms | -inf | -0.9972051103208295 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0623705270415007 | +inf |
| 0.0ms | -inf | -0.9972051103208295 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.006451016055010469 | 4.0345669828810316e-308 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0043722616677650825 | 0.03589167754437894 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.2490164475899714e-308 | 1.8802740781440469e-305 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 666 |
| 1 | 131 | 666 |
| 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 2 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (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)) #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 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 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)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 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 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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 2 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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 2 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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))))) |
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x)))) |
(if (<=.f64 (sin.f64 x) #s(literal 5060056332682765/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x 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 2 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (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)) #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))))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (sin.f64 x)) (*.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))) #s(approx (sin x) (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)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #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) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 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)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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))))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 2 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)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 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 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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))))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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 2 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))))) |
(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 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) (sin.f64 x)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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 2 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))))) |
(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 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 2 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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)))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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))))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal -5764607523034235/1152921504606846976 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 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) 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))))) |
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #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)))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x)))) |
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/1152921504606846976 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 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x)))) |
(if (<=.f64 (sin.f64 x) #s(literal 5060056332682765/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 4340 |
| 1 | 556 | 4269 |
| 2 | 1571 | 4067 |
| 3 | 4510 | 4023 |
| 4 | 7982 | 4023 |
| 0 | 8110 | 3797 |
| 0 | 31 | 197 |
| 0 | 53 | 197 |
| 1 | 183 | 194 |
| 2 | 1151 | 194 |
| 0 | 8422 | 194 |
| 0 | 188 | 3697 |
| 1 | 602 | 3628 |
| 2 | 1865 | 3413 |
| 3 | 4530 | 3393 |
| 0 | 8192 | 3221 |
| 0 | 92 | 700 |
| 1 | 288 | 693 |
| 2 | 903 | 643 |
| 3 | 3157 | 635 |
| 4 | 7386 | 635 |
| 0 | 8545 | 605 |
| 0 | 41 | 329 |
| 0 | 74 | 329 |
| 1 | 290 | 329 |
| 2 | 2071 | 329 |
| 0 | 8568 | 329 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 246 to 667 computations (46.5% saved)
(negabs x)
(abs y)
Compiled 1 096 to 288 computations (73.7% saved)
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