
Time bar (total: 8.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-sin: 522.0ms (64% of total)ival-cosh: 115.0ms (14.1% of total)ival-div: 95.0ms (11.7% of total)ival-mult: 74.0ms (9.1% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (cosh.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 |
| 60.0ms | 512× | 0 | valid |
Compiled 45 to 22 computations (51.1% saved)
ival-sin: 11.0ms (40.1% of total)ival-mult: 8.0ms (29.1% of total)ival-cosh: 5.0ms (18.2% of total)ival-div: 4.0ms (14.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 408× | div-sub |
| 1 266× | distribute-lft-in |
| 1 178× | distribute-rgt-in |
| 796× | sub-neg |
| 704× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 61 | 37 |
| 2 | 186 | 37 |
| 3 | 490 | 37 |
| 4 | 1600 | 37 |
| 5 | 3315 | 37 |
| 6 | 4803 | 37 |
| 7 | 5790 | 37 |
| 8 | 6164 | 37 |
| 9 | 6257 | 37 |
| 10 | 6281 | 37 |
| 11 | 7599 | 37 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 34 | 7 |
| 3 | 60 | 7 |
| 4 | 96 | 7 |
| 5 | 136 | 7 |
| 6 | 208 | 7 |
| 7 | 354 | 7 |
| 8 | 713 | 7 |
| 9 | 786 | 7 |
| 10 | 829 | 7 |
| 11 | 829 | 7 |
| 0 | 829 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(abs y)
(abs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (cosh.f64 x) (/.f64 (sin.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 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 420× | lower-*.f32 |
| 418× | lower-*.f64 |
| 276× | times-frac |
| 234× | associate-*l* |
| 220× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 34 | 17 |
| 3 | 60 | 17 |
| 4 | 96 | 17 |
| 5 | 136 | 17 |
| 6 | 208 | 17 |
| 7 | 354 | 17 |
| 8 | 713 | 17 |
| 9 | 786 | 17 |
| 10 | 829 | 17 |
| 11 | 829 | 17 |
| 0 | 829 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(cosh.f64 x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(cosh.f64 x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.00390625 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.09765625 | (/.f64 (sin.f64 y) y) |
| 26.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-sin: 6.0ms (46.3% of total)ival-div: 3.0ms (23.2% of total)ival-cosh: 3.0ms (23.2% of total)ival-mult: 1.0ms (7.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 114.0ms | x | @ | -inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 3.0ms | x | @ | inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 3.0ms | y | @ | -inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 2.0ms | y | @ | inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 1.0ms | y | @ | 0 | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 1× | egg-herbie |
| 21 860× | lower-fma.f64 |
| 21 860× | lower-fma.f32 |
| 6 160× | lower-+.f64 |
| 6 160× | lower-+.f32 |
| 4 408× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 638 |
| 1 | 268 | 614 |
| 2 | 941 | 588 |
| 3 | 3141 | 569 |
| 0 | 8072 | 539 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
| Outputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(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) (- (* 1/120 (pow y 2)) 1/6)))) |
(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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(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 y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (sin.f64 y) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
| 5 572× | lower-*.f32 |
| 5 570× | lower-*.f64 |
| 4 692× | lower-/.f32 |
| 4 690× | lower-/.f64 |
| 1 418× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 27 | 15 |
| 2 | 130 | 15 |
| 3 | 1025 | 15 |
| 0 | 8438 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(cosh.f64 x) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 y (sin.f64 y))) (/.f64 (cosh.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 (cosh.f64 x) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 y)) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (neg.f64 (sin.f64 y)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) y)) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 y)) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (/.f64 y (sin.f64 y))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y)) |
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(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 9 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (expm1.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (cosh.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(cosh.f64 x) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y))) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y)) |
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(neg.f64 (sin.f64 (neg.f64 y))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(sin.f64 y) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (sin.f64 y)) |
Compiled 8 310 to 1 245 computations (85% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 503 | 9 | 512 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 504 | 9 | 513 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) | |
| 99.6% | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) | |
| ▶ | 61.7% | (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) |
| ▶ | 99.9% | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
| ▶ | 67.3% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 69.1% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 87.6% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 74.9% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| 48.6% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
Compiled 178 to 146 computations (18% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (neg.f64 (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) | |
| cost-diff | 1024 | (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (/.f64 (cosh.f64 x) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
| 2 640× | lower-*.f32 |
| 2 624× | lower-*.f64 |
| 2 134× | lower-fma.f32 |
| 2 128× | lower-fma.f64 |
| 1 222× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 186 |
| 0 | 52 | 180 |
| 1 | 98 | 180 |
| 2 | 230 | 178 |
| 3 | 940 | 178 |
| 4 | 4230 | 178 |
| 5 | 6260 | 178 |
| 6 | 7506 | 178 |
| 0 | 8117 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
y |
(sin.f64 y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) |
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(cosh.f64 x) |
x |
(neg.f64 (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
y |
(sin.f64 y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x)) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (cosh.f64 x)) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (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)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (cosh.f64 x)) |
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(cosh.f64 x) |
x |
(neg.f64 (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
(*.f64 y y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.0078125 | (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) | |
| accuracy | 5.332064227561661 | (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) | |
| accuracy | 17.803796883001763 | (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) | |
| accuracy | 0.03125 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0.09765625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 0.109375 | (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 7.813915047319171 | #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.00390625 | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 0.29622321546601027 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 28.146905850994145 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.00390625 | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| accuracy | 27.650489118289535 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.0078125 | (/.f64 (cosh.f64 x) y) | |
| accuracy | 0.0859375 | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
| 72.0ms | 256× | 0 | valid |
Compiled 150 to 27 computations (82% saved)
ival-mult: 13.0ms (28.5% of total)const: 10.0ms (21.9% of total)ival-sin: 9.0ms (19.7% of total)ival-div: 5.0ms (10.9% of total)ival-add: 3.0ms (6.6% of total)ival-cosh: 3.0ms (6.6% of total)ival-neg: 2.0ms (4.4% 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 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (sin.f64 y)) (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #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 (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ (sin y) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y)))) |
| 4.0ms | y | @ | -inf | ((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ (sin y) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y)))) |
| 3.0ms | x | @ | inf | ((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ (sin y) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y)))) |
| 2.0ms | y | @ | inf | ((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ (sin y) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y)))) |
| 2.0ms | y | @ | 0 | ((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ (sin y) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y)))) |
| 1× | egg-herbie |
| 13 418× | lower-fma.f64 |
| 13 418× | lower-fma.f32 |
| 4 608× | lower-*.f64 |
| 4 608× | lower-*.f32 |
| 4 394× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 3903 |
| 1 | 639 | 3725 |
| 2 | 2308 | 3582 |
| 3 | 5558 | 3530 |
| 4 | 7332 | 3525 |
| 0 | 8088 | 3361 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* -1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* 1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (+ (exp x) (/ 1 (exp x)))) (* 1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(/ (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) y) |
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) y) |
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ 1 y) |
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* -1 (sin y)) |
(+ (* -1 (sin y)) (* -1/2 (* (pow x 2) (sin y)))) |
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* -1/24 (* (pow x 2) (sin y)))))) |
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* (pow x 2) (+ (* -1/24 (sin y)) (* -1/720 (* (pow x 2) (sin y)))))))) |
(/ (sin y) (pow y 2)) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) (pow y 2))) (/ (sin y) (pow y 2))) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) (pow y 2))) (* 1/2 (/ (sin y) (pow y 2))))) (/ (sin y) (pow y 2))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) (pow y 2))) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) (pow y 2))) (* 1/24 (/ (sin y) (pow y 2))))))) (/ (sin y) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
| Outputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
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) (- (* 1/120 (pow y 2)) 1/6)))) |
(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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(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 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(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)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
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(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
| 6 532× | lower-fma.f32 |
| 6 526× | lower-fma.f64 |
| 5 810× | lower-*.f32 |
| 5 794× | lower-*.f64 |
| 3 856× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 148 |
| 0 | 52 | 142 |
| 1 | 154 | 140 |
| 2 | 916 | 140 |
| 0 | 8553 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
(sin.f64 y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) |
(neg.f64 (sin.f64 y)) |
(/.f64 (sin.f64 y) y) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (*.f64 y (cosh.f64 x)) (neg.f64 (sin.f64 y))) #s(literal 1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 y (/.f64 (neg.f64 (cosh.f64 x)) y)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 y (*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64)))) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 y (/.f64 (sin.f64 y) y)) (/.f64 (cosh.f64 x) y)) |
(*.f64 (*.f64 y (/.f64 (neg.f64 (sin.f64 y)) y)) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (*.f64 y (/.f64 (cosh.f64 x) y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 y (neg.f64 (cosh.f64 x))) (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (neg.f64 (cosh.f64 x)))) |
(*.f64 (*.f64 y (cosh.f64 x)) (/.f64 (/.f64 (sin.f64 y) y) y)) |
(*.f64 (*.f64 y (sin.f64 y)) (*.f64 (cosh.f64 x) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (/.f64 y (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (*.f64 (cosh.f64 x) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (cosh.f64 x))) (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (/.f64 y (/.f64 (neg.f64 y) (cosh.f64 x))) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y))) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 (cosh.f64 x) y)) |
(*.f64 (/.f64 y (/.f64 y (cosh.f64 x))) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 y (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (neg.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) y)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (cosh.f64 x))))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) y) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 y (cosh.f64 x)) (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 y (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) (cosh.f64 x))))) |
(*.f64 (*.f64 (cosh.f64 x) (pow.f64 y #s(literal -2 binary64))) (/.f64 (*.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 y #s(literal -2 binary64))) (/.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 y (/.f64 (neg.f64 y) (cosh.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) y)) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 (*.f64 (neg.f64 (sin.f64 y)) y) y)) |
(*.f64 (/.f64 y (*.f64 y y)) (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 y (cosh.f64 x)) (sin.f64 y)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64))) (*.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 (*.f64 y (cosh.f64 x)) (neg.f64 (sin.f64 y))) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (neg.f64 (cosh.f64 x))) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (neg.f64 (cosh.f64 x))) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (neg.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (cosh.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y (cosh.f64 x)) (neg.f64 (sin.f64 y)))) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (neg.f64 (cosh.f64 x)))) |
(*.f64 (neg.f64 (cosh.f64 x)) (*.f64 (sin.f64 y) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) y))) |
(*.f64 (neg.f64 (cosh.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))) |
(*.f64 (neg.f64 (cosh.f64 x)) (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 y #s(literal -2 binary64))) y)) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) y))) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (*.f64 y y))) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (pow.f64 y #s(literal -2 binary64)) y)) |
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 y (*.f64 y y))) |
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (cosh.f64 x)) y) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) y)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (cosh.f64 x) y) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) y) y) (neg.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (cosh.f64 x) y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (/.f64 y (cosh.f64 x)))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (*.f64 (cosh.f64 x) y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) |
(*.f64 (sin.f64 y) (*.f64 (neg.f64 (cosh.f64 x)) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) y))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (cosh.f64 x) y) y) (neg.f64 y)))) |
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(cosh.f64 x) |
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(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (/.f64 y (cosh.f64 x)) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (/.f64 (*.f64 (neg.f64 y) y) (cosh.f64 x))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (sin.f64 y) (*.f64 (*.f64 y y) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (/.f64 (*.f64 (neg.f64 y) y) (cosh.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)) (*.f64 (*.f64 y y) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (cosh.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) (sin.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (cosh.f64 x)) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (cosh.f64 x)) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 (*.f64 y y) #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (*.f64 y y) #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 y (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 y (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) y) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (neg.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (neg.f64 (cosh.f64 x))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) (cosh.f64 x)) (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (cosh.f64 x)) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) y)) |
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (sin.f64 y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 y (sin.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 y (/.f64 (neg.f64 y) (cosh.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 (neg.f64 y) (cosh.f64 x)) y)) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 (neg.f64 y) y) (cosh.f64 x))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (cosh.f64 x)))) |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (cosh.f64 x)))) |
(/.f64 (sin.f64 y) (*.f64 y (/.f64 y (cosh.f64 x)))) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 y))) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 y (cosh.f64 x)) y)) |
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 y (sin.f64 y))) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 y))) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) y)) |
(neg.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (neg.f64 (cosh.f64 x)))) |
(fma.f64 (*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (cosh.f64 x))) |
(fma.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (cosh.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (neg.f64 (cosh.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (neg.f64 (cosh.f64 x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (neg.f64 (cosh.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (cosh.f64 x)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (cosh.f64 x))) |
(+.f64 (*.f64 (*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (cosh.f64 x))) |
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (cosh.f64 x))) |
Compiled 24 758 to 3 145 computations (87.3% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 445 | 11 | 1 456 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 450 | 15 | 1 465 |
| Status | Accuracy | Program |
|---|---|---|
| 87.3% | (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) | |
| ▶ | 99.6% | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
| ▶ | 39.1% | (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
| 48.5% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) | |
| ✓ | 69.1% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 62.5% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| ✓ | 87.6% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| ▶ | 62.1% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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)))) |
| 60.2% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 74.9% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| ▶ | 54.7% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 50.7% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 36.6% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 29.7% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 48.6% | #s(approx (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (/.f64 (sin.f64 y) y)) |
Compiled 352 to 274 computations (22.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) | |
| cost-diff | 640 | (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) (cosh.f64 x)) | |
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) | |
| cost-diff | 0 | (pow.f64 y #s(literal -1/2 binary64)) | |
| cost-diff | 12864 | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
| 5 290× | lower-*.f32 |
| 5 272× | lower-*.f64 |
| 2 812× | lower-neg.f32 |
| 2 808× | lower-neg.f64 |
| 2 692× | lower-fma.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 286 |
| 0 | 70 | 286 |
| 1 | 127 | 282 |
| 2 | 234 | 279 |
| 3 | 500 | 278 |
| 4 | 921 | 276 |
| 5 | 1826 | 276 |
| 6 | 4197 | 276 |
| 7 | 5054 | 276 |
| 0 | 8143 | 276 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
(pow.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (sin.f64 y) (cosh.f64 x)) |
(sin.f64 y) |
(cosh.f64 x) |
x |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin 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) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
(/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) |
#s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(neg.f64 (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(pow.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (sin.f64 y) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (sin.f64 y)) |
(sin.f64 y) |
(cosh.f64 x) |
x |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (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)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 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 (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin 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) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
(/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) |
(/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 y) y)) |
#s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(neg.f64 (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
(*.f64 y y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 (sin.f64 y)) | |
| accuracy | 5.332064227561661 | (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) | |
| accuracy | 17.803796883001763 | (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) | |
| accuracy | 32.86826684440523 | #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) | |
| accuracy | 0.109375 | (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 0.4678994156735947 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 7.813915047319171 | #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 28.18237251314432 | #s(approx (/ (sin 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 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 0.29622321546601027 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 15.808749690211993 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 28.146905850994145 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| accuracy | 27.650489118289535 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 32.70697742129529 | #s(approx (cosh x) #s(literal 1 binary64)) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.0078125 | (*.f64 (sin.f64 y) (cosh.f64 x)) | |
| accuracy | 0.140625 | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) | |
| accuracy | 0.14453125 | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
| 91.0ms | 256× | 0 | valid |
Compiled 200 to 37 computations (81.5% saved)
const: 21.0ms (29.5% of total)ival-mult: 20.0ms (28.1% of total)ival-pow: 7.0ms (9.8% of total)ival-div: 6.0ms (8.4% of total)ival-add: 6.0ms (8.4% of total)ival-sin: 6.0ms (8.4% of total)ival-cosh: 3.0ms (4.2% of total)ival-neg: 2.0ms (2.8% 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 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) (patch (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (patch #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (sin.f64 y)) (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin 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 (/ (sin 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 #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 (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/10080 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) (patch (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) (patch (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) (patch (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) (patch (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (patch #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (patch #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (patch #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (patch #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | -inf | ((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) (* (neg (sin y)) (cosh x)) (neg (sin y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6)) |
| 5.0ms | y | @ | -inf | ((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) (* (neg (sin y)) (cosh x)) (neg (sin y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6)) |
| 3.0ms | x | @ | inf | ((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) (* (neg (sin y)) (cosh x)) (neg (sin y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6)) |
| 3.0ms | y | @ | inf | ((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) (* (neg (sin y)) (cosh x)) (neg (sin y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6)) |
| 2.0ms | y | @ | 0 | ((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) (* (neg (sin y)) (cosh x)) (neg (sin y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6)) |
| 1× | egg-herbie |
| 16 172× | lower-fma.f64 |
| 16 172× | lower-fma.f32 |
| 6 576× | lower-*.f64 |
| 6 576× | lower-*.f32 |
| 6 178× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 253 | 4955 |
| 1 | 828 | 4671 |
| 2 | 3240 | 4484 |
| 3 | 7810 | 4484 |
| 0 | 8570 | 4284 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) |
(+ (* -1/12 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))) |
(+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/10080 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))) |
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(/ (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) y) |
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) y) |
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) y) |
(* -1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* 1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (+ (exp x) (/ 1 (exp x)))) (* 1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
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) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (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)) 1/6) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin 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 y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y)) |
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y)) |
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y)) |
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin 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))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* (sqrt (/ 1 y)) (sin y)) |
(+ (* 1/2 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sin y))) |
(+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/24 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/2 (* (sqrt (/ 1 y)) (sin y)))))) |
(+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 y)) (sin y))) (* (pow x 2) (+ (* 1/720 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/24 (* (sqrt (/ 1 y)) (sin y)))))))) |
(sin y) |
(+ (sin y) (* 1/2 (* (pow x 2) (sin y)))) |
(+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y))))) |
(+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y))))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ (sin y) (pow y 2)) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) (pow y 2))) (/ (sin y) (pow y 2))) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) (pow y 2))) (* 1/2 (/ (sin y) (pow y 2))))) (/ (sin y) (pow y 2))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) (pow y 2))) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) (pow y 2))) (* 1/24 (/ (sin y) (pow y 2))))))) (/ (sin y) (pow y 2))) |
(* -1 (sin y)) |
(+ (* -1 (sin y)) (* -1/2 (* (pow x 2) (sin y)))) |
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* -1/24 (* (pow x 2) (sin y)))))) |
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* (pow x 2) (+ (* -1/24 (sin y)) (* -1/720 (* (pow x 2) (sin y)))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
| Outputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* -1/12 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) #s(literal -1/12 binary64) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) |
(+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x)))))))) |
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 y) #s(literal -1/12 binary64)))) (*.f64 y y))) |
(+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/10080 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) #s(literal -1/10080 binary64) (*.f64 (sqrt.f64 y) #s(literal 1/240 binary64)))) (*.f64 (*.f64 (sqrt.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
(*.f64 (*.f64 y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) y) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(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)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) #s(literal 1/2 binary64)) |
(/ (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) y) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) y)) |
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) y) |
(/.f64 (fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) y) |
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) y) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) y) |
(* -1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))) |
(*.f64 (*.f64 y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (fma.f64 #s(literal 1/12 binary64) (*.f64 y y) #s(literal -1/2 binary64))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/240 binary64) (*.f64 y y) #s(literal 1/12 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* 1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (+ (exp x) (/ 1 (exp x)))) (* 1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/10080 binary64) (*.f64 y y) #s(literal -1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/12 binary64) (*.f64 y y) #s(literal -1/2 binary64)))) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
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(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
| 6 270× | lower-fma.f32 |
| 6 258× | lower-fma.f64 |
| 4 788× | lower-*.f32 |
| 4 770× | lower-*.f64 |
| 3 992× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 238 |
| 0 | 70 | 238 |
| 1 | 219 | 232 |
| 2 | 1265 | 229 |
| 0 | 8308 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
(pow.f64 y #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (sin.f64 y) (cosh.f64 x)) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
(/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) |
#s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) |
(neg.f64 (sin.f64 y)) |
(cosh.f64 x) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (/ (sin 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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (cosh.f64 x)) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64)))) (cosh.f64 x)) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (cosh.f64 x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(*.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y) |
(/.f64 (sin.f64 y) (*.f64 y (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (cosh.f64 x))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/4 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(pow.f64 y #s(literal -1/2 binary64)) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/4 binary64) (*.f64 (log.f64 y) #s(literal -1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (cosh.f64 x)) (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (cosh.f64 x)) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) |
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (cosh.f64 x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (cosh.f64 x)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
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(*.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2985984000000 binary64) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/518400 binary64)))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2985984000000 binary64) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/5159780352000000000 binary64) (pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2985984000000 binary64) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/46656 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/373248000 binary64)))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64)) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) |
Compiled 20 162 to 2 254 computations (88.8% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 899 | 9 | 908 |
| Fresh | 3 | 5 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 905 | 18 | 923 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.3% | (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
| 48.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y)))) #s(literal -1 binary64))) | |
| 48.2% | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (sin y) (cosh x)) (sin.f64 y)))) | |
| 48.3% | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (pow y -1/2) (* (sin y) (cosh x))) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) | |
| ✓ | 39.1% | (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
| 29.7% | (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) | |
| 48.5% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) | |
| ✓ | 69.1% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 62.5% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ✓ | 87.6% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 60.2% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| ▶ | 74.9% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 50.7% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) | |
| 39.2% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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)))) | |
| ▶ | 28.1% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 36.6% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 29.7% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 48.6% | #s(approx (* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (/.f64 (sin.f64 y) y)) |
Compiled 384 to 315 computations (18% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 384 | (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
| 950× | lower-fma.f32 |
| 936× | lower-fma.f64 |
| 394× | distribute-lft-in |
| 332× | lower-*.f32 |
| 328× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 350 |
| 0 | 65 | 350 |
| 1 | 109 | 350 |
| 2 | 158 | 350 |
| 3 | 270 | 350 |
| 4 | 474 | 350 |
| 5 | 577 | 350 |
| 6 | 589 | 350 |
| 7 | 702 | 350 |
| 8 | 873 | 350 |
| 9 | 881 | 350 |
| 10 | 884 | 350 |
| 11 | 887 | 350 |
| 12 | 895 | 350 |
| 13 | 921 | 350 |
| 14 | 922 | 350 |
| 0 | 922 | 350 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
| Outputs |
|---|
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64)))) |
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (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)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (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)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.09765625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 15.808749690211993 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.046875 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 0.3256487212110557 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 5.868331893069686 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 27.650489118289535 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0.29622321546601027 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 15.808749690211993 | #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) | |
| accuracy | 28.146905850994145 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 29.51541047887154 | #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) | |
| accuracy | 0.29622321546601027 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 15.808749690211993 | #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) | |
| accuracy | 28.146905850994145 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 32.36901826040137 | #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64)) | |
| accuracy | 0.1015625 | (/.f64 y (sin.f64 y)) | |
| accuracy | 0.109375 | (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0.24930321414687506 | (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) | |
| accuracy | 7.813915047319171 | #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
| 133.0ms | 256× | 0 | valid |
Compiled 210 to 31 computations (85.2% saved)
ival-sin: 40.0ms (35.6% of total)ival-add: 38.0ms (33.9% of total)ival-mult: 15.0ms (13.4% of total)const: 10.0ms (8.9% of total)ival-div: 5.0ms (4.5% of total)ival-cosh: 4.0ms (3.6% 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(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) (patch #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #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 (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((/ (cosh x) (/ y (sin y))) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (/ y (sin y)) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | -inf | ((/ (cosh x) (/ y (sin y))) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (/ y (sin y)) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y) (sin y)) |
| 2.0ms | y | @ | -inf | ((/ (cosh x) (/ y (sin y))) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (/ y (sin y)) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y) (sin y)) |
| 2.0ms | y | @ | inf | ((/ (cosh x) (/ y (sin y))) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (/ y (sin y)) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y) (sin y)) |
| 1.0ms | y | @ | 0 | ((/ (cosh x) (/ y (sin y))) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (/ y (sin y)) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y) (sin y)) |
| 1× | egg-herbie |
| 22 688× | lower-fma.f64 |
| 22 688× | lower-fma.f32 |
| 5 158× | lower-+.f64 |
| 5 158× | lower-+.f32 |
| 4 152× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 3798 |
| 1 | 432 | 3678 |
| 2 | 1350 | 3564 |
| 3 | 4182 | 3469 |
| 0 | 8024 | 3257 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (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) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(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)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 7/360 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) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(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) (- (* 1/120 (pow y 2)) 1/6)))) |
(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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(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) |
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(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| 7 270× | lower-fma.f32 |
| 7 256× | lower-fma.f64 |
| 4 900× | lower-*.f32 |
| 4 886× | lower-*.f64 |
| 4 122× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 294 |
| 0 | 65 | 294 |
| 1 | 208 | 294 |
| 2 | 1288 | 294 |
| 0 | 8324 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 y (sin.f64 y)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 y (sin.f64 y)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (sin.f64 y)))) y) |
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (sin.f64 y)) (*.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (sin.f64 y)) y) |
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(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
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(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (sin.f64 y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(sin.f64 y) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
Compiled 23 937 to 2 450 computations (89.8% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 031 | 14 | 1 045 |
| Fresh | 3 | 6 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 036 | 27 | 1 063 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.3% | (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
| 52.4% | (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 54.4% | (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 74.5% | (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) | |
| 48.2% | (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) | |
| 48.2% | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (sin y) (cosh x)) (sin.f64 y)))) | |
| 48.3% | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (pow y -1/2) (* (sin y) (cosh x))) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) | |
| ✓ | 39.1% | (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
| 29.7% | (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) | |
| 48.5% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) | |
| ✓ | 69.1% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 62.5% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 60.2% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| ✓ | 87.6% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 62.5% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| ✓ | 74.9% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 50.7% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) | |
| 62.4% | (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 39.2% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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)))) | |
| 28.5% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin 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)))) | |
| 13.1% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) | |
| 24.5% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) | |
| 36.6% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) | |
| ✓ | 36.6% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 9.3% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) | |
| ✓ | 29.7% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 48.6% | #s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
Compiled 912 to 431 computations (52.7% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin 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 (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (/.f64 (sin.f64 y) y)) |
#s(approx (* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y)))) #s(literal -1 binary64))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (pow y -1/2) (* (sin y) (cosh x))) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (sin y) (cosh x)) (sin.f64 y)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
5 calls:
| 56.0ms | x |
| 32.0ms | (/.f64 (sin.f64 y) y) |
| 19.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 12.0ms | y |
| 10.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 100.0% | 1 | (cosh.f64 x) |
| 100.0% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin 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 (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (/.f64 (sin.f64 y) y)) |
#s(approx (* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y)))) #s(literal -1 binary64))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 68.0ms | y |
| 54.0ms | (cosh.f64 x) |
| 11.0ms | x |
| 10.0ms | (/.f64 (sin.f64 y) y) |
| 9.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | x |
| 93.9% | 2 | y |
| 100.0% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 87.6% | 1 | (cosh.f64 x) |
| 94.3% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin 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 (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (/.f64 (sin.f64 y) y)) |
#s(approx (* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y)))) #s(literal -1 binary64))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 42.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin 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 (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (/.f64 (sin.f64 y) y)) |
#s(approx (* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin 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 (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 38.0ms | x |
| 25.0ms | (cosh.f64 x) |
| 7.0ms | y |
| 7.0ms | (/.f64 (sin.f64 y) y) |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 1 | (cosh.f64 x) |
| 69.1% | 1 | y |
| 80.9% | 2 | (/.f64 (sin.f64 y) y) |
| 69.1% | 1 | x |
| 81.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin 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 (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 6.0ms | (/.f64 (sin.f64 y) y) |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.0% | 3 | (/.f64 (sin.f64 y) y) |
| 74.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin 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 (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 52.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.0% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 4 to 4 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin 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 (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 5.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.0% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 4 to 4 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin 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 (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 5.0ms | (/.f64 (sin.f64 y) y) |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 75.9% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 60.0ms | (/.f64 (sin.f64 y) y) |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 73.8% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 25.0ms | y |
| 5.0ms | x |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 3.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.4% | 2 | x |
| 54.7% | 1 | y |
| 54.7% | 1 | (cosh.f64 x) |
| 62.6% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 67.2% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 4 to 4 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 62.4% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.5% | 2 | x |
| 58.4% | 2 | (/.f64 (sin.f64 y) y) |
| 58.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
2 calls:
| 3.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.5% | 3 | (/.f64 (sin.f64 y) y) |
| 57.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
1 calls:
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))) |
1 calls:
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 1.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.4% | 2 | (/.f64 (sin.f64 y) y) |
| 36.4% | 2 | x |
| 36.7% | 2 | y |
| 36.4% | 2 | (cosh.f64 x) |
| 37.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 1.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.7% | 1 | (cosh.f64 x) |
| 29.7% | 1 | x |
| 29.7% | 1 | y |
| 29.7% | 1 | (/.f64 (sin.f64 y) y) |
| 29.7% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.631469975106155e-10 | 1.0 |
| 0.0ms | -inf | -1.2086773214948809e-6 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.631469975106155e-10 | 1.0 |
| 0.0ms | -inf | -1.2086773214948809e-6 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.631469975106155e-10 | 1.0 |
| 0.0ms | -inf | -1.2086773214948809e-6 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.7781762381735334e-154 | -5.349575240453243e-155 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4892986494676693e-131 | 3.51432099891168e-119 |
| 0.0ms | -1.261742867282682e-303 | 4.915724769655413e-309 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4892986494676693e-131 | 3.51432099891168e-119 |
| 0.0ms | -1.261742867282682e-303 | 4.915724769655413e-309 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4892986494676693e-131 | 3.51432099891168e-119 |
| 0.0ms | -1.261742867282682e-303 | 4.915724769655413e-309 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4892986494676693e-131 | 3.51432099891168e-119 |
| 0.0ms | -1.261742867282682e-303 | 4.915724769655413e-309 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4892986494676693e-131 | 3.51432099891168e-119 |
| 0.0ms | -1.261742867282682e-303 | 4.915724769655413e-309 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.51432099891168e-119 | 2.0456878541060003e-117 |
| 0.0ms | -1.261742867282682e-303 | 4.915724769655413e-309 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.51432099891168e-119 | 2.0456878541060003e-117 |
| 0.0ms | -1.261742867282682e-303 | 4.915724769655413e-309 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.7781762381735334e-154 | -5.349575240453243e-155 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.7781762381735334e-154 | -5.349575240453243e-155 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000094463195 | 63922.360716934294 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000094463195 | 63922.360716934294 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000094463195 | 63922.360716934294 |
| 0.0ms | -3.7781762381735334e-154 | -5.349575240453243e-155 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.7781762381735334e-154 | -5.349575240453243e-155 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
| 50× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 1342 |
| 1 | 161 | 1342 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1997919072202235/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1997919072202235/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1997919072202235/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1997919072202235/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1997919072202235/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
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(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64))) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64))) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64))) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 22 688× | lower-fma.f64 |
| 22 688× | lower-fma.f32 |
| 21 860× | lower-fma.f64 |
| 21 860× | lower-fma.f32 |
| 16 172× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 294 |
| 0 | 65 | 294 |
| 1 | 208 | 294 |
| 2 | 1288 | 294 |
| 0 | 8324 | 294 |
| 0 | 253 | 4955 |
| 1 | 828 | 4671 |
| 2 | 3240 | 4484 |
| 3 | 7810 | 4484 |
| 0 | 8570 | 4284 |
| 0 | 83 | 638 |
| 1 | 268 | 614 |
| 2 | 941 | 588 |
| 3 | 3141 | 569 |
| 0 | 8072 | 539 |
| 0 | 198 | 3903 |
| 1 | 639 | 3725 |
| 2 | 2308 | 3582 |
| 3 | 5558 | 3530 |
| 4 | 7332 | 3525 |
| 0 | 8088 | 3361 |
| 0 | 134 | 3798 |
| 1 | 432 | 3678 |
| 2 | 1350 | 3564 |
| 3 | 4182 | 3469 |
| 0 | 8024 | 3257 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 012 to 1 079 computations (46.4% saved)
(abs x)
(abs y)
Compiled 1 756 to 302 computations (82.8% saved)
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