
Time bar (total: 8.3s)
| 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)
| 882.0ms | 8 256× | 0 | valid |
ival-sin: 178.0ms (42.1% of total)ival-cosh: 122.0ms (28.8% of total)ival-div: 61.0ms (14.4% of total)ival-mult: 52.0ms (12.3% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% 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 |
| 48.0ms | 512× | 0 | valid |
Compiled 62 to 28 computations (54.8% saved)
ival-div: 14.0ms (39.9% of total)ival-sin: 12.0ms (34.2% of total)ival-cosh: 5.0ms (14.3% of total)ival-mult: 3.0ms (8.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 61 | 37 |
| 2 | 186 | 37 |
| 3 | 490 | 37 |
| 4 | 1617 | 37 |
| 5 | 3577 | 37 |
| 6 | 5082 | 37 |
| 7 | 6059 | 37 |
| 8 | 6433 | 37 |
| 9 | 6528 | 37 |
| 10 | 6552 | 37 |
| 11 | 7870 | 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 |
|---|---|---|
| ▶ | 99.9% | (*.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)) |
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 | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cosh.f64 x) | |
| accuracy | 0.01171875 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.15625 | (/.f64 (sin.f64 y) y) |
| 77.0ms | 256× | 0 | valid |
Compiled 36 to 14 computations (61.1% saved)
ival-cosh: 53.0ms (75.6% of total)ival-mult: 9.0ms (12.8% of total)ival-sin: 6.0ms (8.6% of total)ival-div: 2.0ms (2.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(cosh.f64 x) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(/ (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 (+ (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 (* -1/6 (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)))) |
(sin y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | -inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | 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 | x | @ | 0 | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 332 |
| 1 | 268 | 308 |
| 2 | 938 | 282 |
| 3 | 3157 | 263 |
| 0 | 8065 | 233 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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 (+ (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 (* -1/6 (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)))) |
(sin y) |
| Outputs |
|---|
(/ (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 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (sin.f64 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 (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 (* -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) |
(sin y) |
(sin.f64 y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 27 | 15 |
| 2 | 130 | 15 |
| 3 | 1025 | 15 |
| 0 | 8482 | 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 (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)))) |
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(/.f64 (*.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) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (*.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 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.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)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 #s(literal -4 binary64) (cosh.f64 x)) #s(literal -4 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 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 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))))) |
(/.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 7 954 to 1 244 computations (84.4% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 464 | 9 | 473 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 465 | 9 | 474 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
| 25.1% | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) | |
| 99.8% | (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) | |
| ▶ | 59.6% | (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) |
| ▶ | 99.8% | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
| 60.2% | (*.f64 (cosh.f64 x) #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)))) | |
| 61.2% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 79.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| ▶ | 49.8% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
Compiled 230 to 180 computations (21.7% 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 | (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)) | |
| 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 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (neg.f64 (cosh.f64 x)) | |
| cost-diff | 0 | (/.f64 (neg.f64 (cosh.f64 x)) y) | |
| cost-diff | 1216 | (/.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 153 |
| 0 | 48 | 153 |
| 1 | 91 | 150 |
| 2 | 237 | 142 |
| 3 | 961 | 142 |
| 4 | 4011 | 142 |
| 5 | 6252 | 142 |
| 6 | 7998 | 142 |
| 0 | 8001 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (cosh.f64 x)) y) |
(neg.f64 (cosh.f64 x)) |
(cosh.f64 x) |
x |
y |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
#s(literal -1 binary64) |
(sin.f64 y) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.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)) |
#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 |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
y |
(sin.f64 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 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (neg.f64 (cosh.f64 x)) y) |
(neg.f64 (cosh.f64 x)) |
(cosh.f64 x) |
x |
y |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
#s(literal -1 binary64) |
(sin.f64 y) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.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 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #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))) |
#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 |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
y |
(sin.f64 y) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.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 | 0.0 | (cosh.f64 x) | |
| accuracy | 0.01171875 | (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) | |
| accuracy | 9.30249965395204 | (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) | |
| accuracy | 15.409293755508363 | (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cosh.f64 x) | |
| accuracy | 0.01171875 | (/.f64 (cosh.f64 x) y) | |
| accuracy | 0.11328125 | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.01171875 | (*.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 | 0.15625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 13.119712661020142 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.15625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 32.06161245193138 | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.0 | (cosh.f64 x) | |
| accuracy | 0.01171875 | (/.f64 (neg.f64 (cosh.f64 x)) y) | |
| accuracy | 0.08431625976844202 | (/.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) | |
| accuracy | 0.1015625 | (/.f64 #s(literal -1 binary64) (sin.f64 y)) |
| 66.0ms | 256× | 0 | valid |
Compiled 290 to 55 computations (81% saved)
ival-mult: 24.0ms (51.3% of total)ival-div: 9.0ms (19.2% of total)ival-sin: 6.0ms (12.8% of total)ival-cosh: 3.0ms (6.4% of total)ival-neg: 3.0ms (6.4% of total)ival-add: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (cosh.f64 x)) y) |
(neg.f64 (cosh.f64 x)) |
(cosh.f64 x) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 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)) |
#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 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) y) |
(*.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 #s(literal -1 binary64) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) |
| Outputs |
|---|
(/ (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 |
(- (* -1/2 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -1/24 (pow x 2)) 1/2)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (pow x 2)) 1/24)) 1/2)) 1) |
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))))))) |
(pow x 2) |
(/ 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 (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 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* -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)))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(+ (* -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 (* -1/6 (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 (* 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)) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) |
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) 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) |
(sin y) |
(/ -1 (sin y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | y | @ | inf | ((/ (/ (neg (cosh x)) y) (/ -1 (sin y))) (/ (neg (cosh x)) y) (neg (cosh x)) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (sin y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ -1 (sin y)) (/ (* (neg (sin y)) (cosh x)) (neg (* y y)))) |
| 4.0ms | x | @ | inf | ((/ (/ (neg (cosh x)) y) (/ -1 (sin y))) (/ (neg (cosh x)) y) (neg (cosh x)) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (sin y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ -1 (sin y)) (/ (* (neg (sin y)) (cosh x)) (neg (* y y)))) |
| 3.0ms | x | @ | -inf | ((/ (/ (neg (cosh x)) y) (/ -1 (sin y))) (/ (neg (cosh x)) y) (neg (cosh x)) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (sin y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ -1 (sin y)) (/ (* (neg (sin y)) (cosh x)) (neg (* y y)))) |
| 3.0ms | y | @ | -inf | ((/ (/ (neg (cosh x)) y) (/ -1 (sin y))) (/ (neg (cosh x)) y) (neg (cosh x)) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (sin y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ -1 (sin y)) (/ (* (neg (sin y)) (cosh x)) (neg (* y y)))) |
| 2.0ms | x | @ | 0 | ((/ (/ (neg (cosh x)) y) (/ -1 (sin y))) (/ (neg (cosh x)) y) (neg (cosh x)) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (sin y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ -1 (sin y)) (/ (* (neg (sin y)) (cosh x)) (neg (* y y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 1051 |
| 1 | 705 | 969 |
| 2 | 2466 | 906 |
| 3 | 5972 | 876 |
| 0 | 8096 | 792 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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 |
(- (* -1/2 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -1/24 (pow x 2)) 1/2)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (pow x 2)) 1/24)) 1/2)) 1) |
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))))))) |
(pow x 2) |
(/ 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 (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 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* -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)))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(+ (* -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 (* -1/6 (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 (* 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)) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) |
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) 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) |
(sin y) |
(/ -1 (sin y)) |
| Outputs |
|---|
(/ (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)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (sin.f64 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)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (* -1/2 (/ (pow x 2) y)) (/ 1 y)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) x (/.f64 #s(literal -1 binary64) y)) |
(- (* (pow x 2) (- (* -1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/24 binary64) y) x) x (/.f64 #s(literal -1/2 binary64) y)) x) x (/.f64 #s(literal -1 binary64) y)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/720 binary64) y) x) x (/.f64 #s(literal -1/24 binary64) y)) (*.f64 x x) (/.f64 #s(literal -1/2 binary64) y)) x) x (/.f64 #s(literal -1 binary64) y)) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 (pow x 2)) 1) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (- (* -1/24 (pow x 2)) 1/2)) 1) |
(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) (- (* (pow x 2) (- (* -1/720 (pow x 2)) 1/24)) 1/2)) 1) |
(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 |
#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)) |
(pow x 2) |
(*.f64 x x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y)) |
(fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (/.f64 x y) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (fma.f64 (/.f64 x y) (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(+ (* -1 (sin y)) (* -1/2 (* (pow x 2) (sin y)))) |
(*.f64 (sin.f64 y) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* -1/24 (* (pow x 2) (sin y)))))) |
(*.f64 (sin.f64 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))) |
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* (pow x 2) (+ (* -1/24 (sin y)) (* -1/720 (* (pow x 2) (sin y)))))))) |
(fma.f64 (*.f64 (sin.f64 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) (neg.f64 (sin.f64 y))) |
(/ (sin y) (pow y 2)) |
(/.f64 (/.f64 (sin.f64 y) y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) (pow y 2))) (/ (sin y) (pow y 2))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 y) y) y)) |
(+ (* (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))) |
(fma.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (/.f64 (sin.f64 y) y) y)) |
(+ (* (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))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 y) y) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) 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)))) |
(*.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)) |
(* 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)) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) (sin.f64 y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(+ (* -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 #s(literal -1/12 binary64) (*.f64 y y) #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 (* -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 (* 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 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (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)))))))) |
(*.f64 (*.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))) y) |
(* 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))))))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.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 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) |
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) |
(fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y (/.f64 #s(literal -1 binary64) y)) |
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y) |
(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)) y (/.f64 #s(literal -1 binary64) y)) |
(/ (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) y) |
(*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #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)))))))) y) |
(/.f64 (*.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))) 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 (*.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))) y) |
(sin y) |
(sin.f64 y) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 118 |
| 0 | 48 | 118 |
| 1 | 140 | 107 |
| 2 | 819 | 107 |
| 3 | 6597 | 107 |
| 0 | 8135 | 107 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (cosh.f64 x)) y) |
(neg.f64 (cosh.f64 x)) |
(cosh.f64 x) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 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)) |
#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 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) y) |
(*.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 #s(literal -1 binary64) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 y (sin.f64 y)) (neg.f64 (cosh.f64 x))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
(*.f64 (/.f64 (*.f64 (*.f64 y (sin.f64 y)) (neg.f64 (cosh.f64 x))) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (/.f64 y (/.f64 (*.f64 y y) (sin.f64 y))) (cosh.f64 x)) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 y (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 y (sin.f64 y)) (neg.f64 (cosh.f64 x))) #s(literal 1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 y (/.f64 (sin.f64 y) y)) (/.f64 (cosh.f64 x) y)) |
(*.f64 (*.f64 y (/.f64 (sin.f64 y) (neg.f64 y))) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (*.f64 y (sin.f64 y)) (/.f64 (/.f64 (cosh.f64 x) 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 (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (cosh.f64 x))) (*.f64 (sin.f64 y) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y))) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (/.f64 y (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (/.f64 (/.f64 (cosh.f64 x) y) y)) |
(*.f64 (/.f64 y (/.f64 (neg.f64 y) (cosh.f64 x))) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 y (/.f64 y (cosh.f64 x))) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 (cosh.f64 x) y)) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (*.f64 y (/.f64 (cosh.f64 x) y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 y (/.f64 (neg.f64 (cosh.f64 x)) y)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (*.f64 y (neg.f64 (cosh.f64 x))) (*.f64 (sin.f64 y) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) y)) (sin.f64 y)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 y (cosh.f64 x)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 y))) |
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(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (sin.f64 y) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(+.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x))) #s(literal 1 binary64)) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x))) #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (sin.f64 y)) (neg.f64 (cosh.f64 x))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (cosh.f64 x))) (sin.f64 y)) |
(*.f64 (*.f64 (/.f64 (cosh.f64 x) y) (pow.f64 y #s(literal -1 binary64))) (sin.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (*.f64 (/.f64 y (cosh.f64 x)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y (cosh.f64 x)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 y)) (cosh.f64 x)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) y))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (sin.f64 y) (*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 (cosh.f64 x) y) y)) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) y) (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (neg.f64 (cosh.f64 x))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x))) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x)))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) |
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 y)))) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 (cosh.f64 x) y) y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (cosh.f64 x) y) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (/.f64 (/.f64 (cosh.f64 x) y) y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (neg.f64 (cosh.f64 x)) (*.f64 (sin.f64 y) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (cosh.f64 x) (*.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 y))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y (cosh.f64 x)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y (cosh.f64 x)) (/.f64 y (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 (cosh.f64 x) y) y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x)))) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) y)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x))) #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (cosh.f64 x)) (neg.f64 y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x)))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 y (cosh.f64 x))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x)))))))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 y)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) y)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) y)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (cosh.f64 x))) |
(/.f64 (sin.f64 y) (*.f64 y (/.f64 y (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (cosh.f64 x) y) y) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 y) (cosh.f64 x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) #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 (sin.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (*.f64 y y) #s(literal -2 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) (sin.f64 y))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 y (/.f64 (*.f64 #s(literal 2 binary64) y) (sin.f64 y)))) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 (cosh.f64 x) y) y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) (/.f64 y (cosh.f64 x)))) |
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 y (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (cosh.f64 x)) (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (cosh.f64 x))) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) y) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 y (cosh.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (neg.f64 (cosh.f64 x)) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))) |
(/.f64 (cosh.f64 x) (/.f64 (*.f64 y y) (sin.f64 y))) |
(neg.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x))) #s(literal 0 binary64) (*.f64 (sin.f64 y) (/.f64 (/.f64 (cosh.f64 x) y) y))) |
(fma.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x))) (*.f64 (sin.f64 y) (/.f64 (/.f64 (cosh.f64 x) y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (cosh.f64 x)) (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x)))) (*.f64 (sin.f64 y) (/.f64 (/.f64 (cosh.f64 x) y) y))) |
(+.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (cosh.f64 x))) #s(literal 0 binary64)) (*.f64 (sin.f64 y) (/.f64 (/.f64 (cosh.f64 x) y) y))) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (/.f64 (/.f64 (cosh.f64 x) y) y))) |
Compiled 19 374 to 3 303 computations (83% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 168 | 9 | 1 177 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 173 | 13 | 1 186 |
| Status | Accuracy | Program |
|---|---|---|
| 49.8% | (/.f64 (/.f64 #s(approx (neg (cosh x)) #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) | |
| 25.1% | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) | |
| 36.6% | (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) | |
| 49.7% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) | |
| ▶ | 61.2% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 79.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| ▶ | 47.5% | (*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 48.1% | (*.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)))) |
| ✓ | 49.8% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
| ▶ | 49.7% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
| 35.0% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 32.6% | #s(approx (* (cosh x) (/ (sin y) y)) #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)))) | |
| ▶ | 30.3% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
Compiled 434 to 304 computations (30% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 y (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) | |
| 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 (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 | (*.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 | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 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)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 260 |
| 0 | 46 | 260 |
| 1 | 78 | 260 |
| 2 | 116 | 256 |
| 3 | 185 | 256 |
| 4 | 325 | 256 |
| 5 | 502 | 256 |
| 6 | 779 | 256 |
| 7 | 1112 | 256 |
| 8 | 1510 | 256 |
| 9 | 1646 | 256 |
| 10 | 1656 | 256 |
| 11 | 1657 | 256 |
| 12 | 1659 | 256 |
| 13 | 1659 | 256 |
| 0 | 1659 | 256 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
#s(approx (* (cosh x) (/ (sin y) y)) #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)) |
#s(literal -1/6 binary64) |
(*.f64 y 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 (*.f64 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)))) |
#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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
#s(literal 1 binary64) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
| Outputs |
|---|
(*.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) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 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 |
#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 #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 (*.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 (*.f64 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)))) |
(*.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 #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) y) |
#s(literal 1 binary64) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.109375 | (/.f64 y (sin.f64 y)) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) | |
| accuracy | 32.06161245193138 | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) | |
| accuracy | 0.046875 | (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 | 0.09375 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 13.119712661020142 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 32.88698007923249 | #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 | 0.01171875 | (*.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 | 0.1015625 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 13.119712661020142 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 32.88700643036188 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.1015625 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 32.06161245193138 | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 32.88700643036188 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (cosh.f64 x) | |
| accuracy | 0.01171875 | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 0.1015625 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 32.88700643036188 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| 67.0ms | 256× | 0 | valid |
Compiled 424 to 52 computations (87.7% saved)
ival-sin: 11.0ms (23.5% of total)ival-mult: 10.0ms (21.4% of total)ival-cosh: 7.0ms (15% of total)const: 7.0ms (15% of total)ival-add: 6.0ms (12.8% of total)ival-div: 5.0ms (10.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.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) |
#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 (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 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) (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 (*.f64 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(sin.f64 y) |
#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)) |
(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 |
|---|
(/ (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))))))) |
(pow x 2) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(+ (* -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 (* -1/6 (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))) |
(pow y 2) |
(+ 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))))))) |
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)))) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ y (sin y)) |
(sin y) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (* y y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (* (cosh x) (/ (sin y) y)) (/ y (sin y)) (sin y) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1)) |
| 2.0ms | y | @ | -inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (* y y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (* (cosh x) (/ (sin y) y)) (/ y (sin y)) (sin y) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1)) |
| 2.0ms | x | @ | inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (* y y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (* (cosh x) (/ (sin y) y)) (/ y (sin y)) (sin y) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1)) |
| 1.0ms | x | @ | -inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (* y y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (* (cosh x) (/ (sin y) y)) (/ y (sin y)) (sin y) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1)) |
| 1.0ms | y | @ | 0 | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (* y y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (* (cosh x) (/ (sin y) y)) (/ y (sin y)) (sin y) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 458 |
| 1 | 352 | 434 |
| 2 | 1175 | 408 |
| 3 | 3808 | 385 |
| 0 | 8287 | 344 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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))))))) |
(pow x 2) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(+ (* -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 (* -1/6 (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))) |
(pow y 2) |
(+ 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))))))) |
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)))) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ y (sin y)) |
(sin y) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
| Outputs |
|---|
(/ (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)) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (sin.f64 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 (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)) |
(+ (* -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 (* -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)) |
(pow y 2) |
(*.f64 y y) |
(+ 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)) |
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) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(sin y) |
(sin.f64 y) |
(* 1/120 (pow y 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(* 1/120 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 179 |
| 0 | 46 | 175 |
| 1 | 144 | 175 |
| 2 | 860 | 175 |
| 0 | 8062 | 175 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
#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 (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 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) (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 (*.f64 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(sin.f64 y) |
#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)) |
(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 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (fma.f64 #s(literal -1 binary64) x (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.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 (fma.f64 #s(literal -1 binary64) x (neg.f64 x)))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) |
(cosh.f64 x) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
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(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
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(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 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))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 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))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) #s(literal 1 binary64))) |
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y)) |
Compiled 27 847 to 2 567 computations (90.8% saved)
19 alts after pruning (14 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 826 | 8 | 834 |
| Fresh | 0 | 6 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 828 | 19 | 847 |
| Status | Accuracy | Program |
|---|---|---|
| 49.8% | (/.f64 (/.f64 #s(approx (neg (cosh x)) #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) | |
| 25.1% | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) | |
| 36.6% | (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) | |
| ▶ | 49.7% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
| ✓ | 61.2% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 57.1% | (*.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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 55.9% | (*.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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 79.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 47.5% | (*.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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 48.1% | (*.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)))) |
| 27.2% | (*.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)))) | |
| ✓ | 49.8% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
| ✓ | 49.7% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
| ▶ | 24.2% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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))))) |
| ▶ | 24.3% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
| 35.0% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 32.6% | #s(approx (* (cosh x) (/ (sin y) y)) #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)))) | |
| 30.3% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) | |
| ▶ | 9.0% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
Compiled 715 to 485 computations (32.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | #s(approx (cosh x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (/.f64 #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)))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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))))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 341 |
| 0 | 66 | 341 |
| 1 | 109 | 341 |
| 2 | 168 | 341 |
| 3 | 331 | 341 |
| 4 | 616 | 341 |
| 5 | 835 | 341 |
| 6 | 923 | 341 |
| 7 | 1189 | 341 |
| 8 | 1721 | 341 |
| 9 | 1807 | 341 |
| 10 | 1881 | 341 |
| 11 | 1899 | 341 |
| 12 | 1905 | 341 |
| 13 | 1905 | 341 |
| 14 | 1907 | 341 |
| 0 | 1907 | 341 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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) (fma.f64 #s(literal -1/6 binary64) (*.f64 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) (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(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ y (sin 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(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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)))) |
#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))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 7/360 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(sin.f64 y) |
| Outputs |
|---|
(*.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) (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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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) (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(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ y (sin 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(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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)))) |
#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))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 7/360 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(sin.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) | |
| accuracy | 0.11328125 | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) | |
| accuracy | 31.90850950543415 | #s(approx (cosh x) #s(literal 1 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.171875 | (/.f64 #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)))) | |
| accuracy | 32.06161245193138 | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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))))) | |
| accuracy | 32.517616593530725 | #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))) | |
| accuracy | 0.1015625 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 32.06161245193138 | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| accuracy | 32.49125383767797 | #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.19140625 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) | |
| accuracy | 30.1918403789873 | #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) | |
| accuracy | 32.06161245193138 | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) | |
| accuracy | 32.88700643036188 | #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) | |
| accuracy | 0.0703125 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 0.1015625 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 4.26841698360092 | #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 | 32.88700643036188 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| 110.0ms | 256× | 0 | valid |
Compiled 537 to 80 computations (85.1% saved)
ival-div: 27.0ms (32.1% of total)const: 21.0ms (24.9% of total)ival-mult: 17.0ms (20.2% of total)ival-sin: 8.0ms (9.5% of total)ival-add: 7.0ms (8.3% of total)ival-cosh: 3.0ms (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 |
|---|
(*.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) (fma.f64 #s(literal -1/6 binary64) (*.f64 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)) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ y (sin 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 (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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)))) |
#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))) |
(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 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) |
#s(approx (cosh x) #s(literal 1 binary64)) |
(sin.f64 y) |
#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)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(/ (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 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(/ 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)) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 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)))))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(+ (* -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 (* -1/6 (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 (pow y 2)) |
(+ 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))))))) |
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)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ y (sin y)) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 7/360 (pow y 4)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(sin y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((* (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)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* -1/6 (* y y)) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (sin y) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24)) |
| 2.0ms | y | @ | inf | ((* (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)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* -1/6 (* y y)) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (sin y) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24)) |
| 2.0ms | x | @ | inf | ((* (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)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* -1/6 (* y y)) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (sin y) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24)) |
| 2.0ms | x | @ | -inf | ((* (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)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* -1/6 (* y y)) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (sin y) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24)) |
| 2.0ms | y | @ | 0 | ((* (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)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* -1/6 (* y y)) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ 1 (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (sin y) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 628 |
| 1 | 481 | 604 |
| 2 | 1504 | 570 |
| 3 | 4679 | 549 |
| 0 | 8504 | 494 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(/ 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)) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 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)))))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(+ (* -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 (* -1/6 (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 (pow y 2)) |
(+ 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))))))) |
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)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ y (sin y)) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 7/360 (pow y 4)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(sin y) |
| Outputs |
|---|
(/ (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 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y)) |
(fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) 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) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (/.f64 (*.f64 x x) 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 #s(literal 1 binary64) y)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 y)) (/.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)) |
(* 1/720 (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 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 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)) |
(* 1/720 (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)) |
(+ (* -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 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 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)) |
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) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* 7/360 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(sin y) |
(sin.f64 y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 302 |
| 0 | 66 | 302 |
| 1 | 225 | 302 |
| 2 | 1397 | 302 |
| 0 | 8780 | 302 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) (fma.f64 #s(literal -1/6 binary64) (*.f64 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)) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ y (sin 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 (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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)))) |
#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))) |
(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 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) |
#s(approx (cosh x) #s(literal 1 binary64)) |
(sin.f64 y) |
#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)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x)))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
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(/.f64 (*.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/191102976 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1/331776 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/298598400 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/191102976 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/51998697814228992000000000 binary64) #s(literal 1/2641807540224 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/191102976 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5159780352000 binary64)))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
Compiled 15 645 to 1 964 computations (87.4% saved)
24 alts after pruning (17 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 412 | 10 | 422 |
| Fresh | 2 | 7 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 417 | 24 | 441 |
| Status | Accuracy | Program |
|---|---|---|
| 49.8% | (/.f64 (/.f64 #s(approx (neg (cosh x)) #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) | |
| 25.1% | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) | |
| 36.6% | (*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) | |
| ✓ | 49.7% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
| ✓ | 61.2% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 56.2% | (*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 56.9% | (*.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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 55.9% | (*.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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 79.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 47.5% | (*.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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 48.1% | (*.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)))) |
| 27.2% | (*.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)))) | |
| ✓ | 49.8% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
| ✓ | 49.7% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
| 24.4% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) | |
| 24.3% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) | |
| 24.4% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) | |
| 23.1% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))) | |
| 18.3% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) | |
| 35.0% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 32.6% | #s(approx (* (cosh x) (/ (sin y) y)) #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)))) | |
| 30.3% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| 9.0% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) | |
| ✓ | 9.0% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
Compiled 1 331 to 551 computations (58.6% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)))) |
(*.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) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 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)))) |
(*.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 #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) #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 #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) (fma.f64 #s(literal -1/6 binary64) (*.f64 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.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) (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)) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 (cosh.f64 x) #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 (/.f64 #s(approx (neg (cosh x)) #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (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 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
5 calls:
| 15.0ms | (/.f64 (sin.f64 y) y) |
| 12.0ms | x |
| 12.0ms | y |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 7.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 99.9% | 1 | (cosh.f64 x) |
| 99.9% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)))) |
(*.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) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 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)))) |
(*.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 #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) #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 #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) (fma.f64 #s(literal -1/6 binary64) (*.f64 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.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) (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)) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 (cosh.f64 x) #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 (/.f64 #s(approx (neg (cosh x)) #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
| Outputs |
|---|
(*.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) (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))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #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)))) |
5 calls:
| 75.0ms | x |
| 29.0ms | (cosh.f64 x) |
| 9.0ms | y |
| 8.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 3 | x |
| 91.9% | 2 | y |
| 99.9% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 87.8% | 2 | (cosh.f64 x) |
| 91.9% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)))) |
(*.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) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 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)))) |
(*.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 #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) #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 #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) (fma.f64 #s(literal -1/6 binary64) (*.f64 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.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) (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)) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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)) |
| Outputs |
|---|
(*.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) (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))) (/.f64 (sin.f64 y) y)) |
2 calls:
| 10.0ms | x |
| 7.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 3 | x |
| 95.8% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)))) |
(*.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) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 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)))) |
(*.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 #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) #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 #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) (fma.f64 #s(literal -1/6 binary64) (*.f64 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.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) (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)) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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) (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) (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 (/ (sin y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
2 calls:
| 8.0ms | x |
| 7.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 89.5% | 3 | x |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)))) |
(*.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) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 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)))) |
(*.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 #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) #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 #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) (fma.f64 #s(literal -1/6 binary64) (*.f64 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
1 calls:
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)))) |
(*.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) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 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)))) |
(*.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 #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) #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 #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) (fma.f64 #s(literal -1/6 binary64) (*.f64 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))) |
| Outputs |
|---|
(*.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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
5 calls:
| 25.0ms | (cosh.f64 x) |
| 8.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | x |
| 7.0ms | y |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.1% | 1 | (cosh.f64 x) |
| 59.1% | 2 | x |
| 59.0% | 2 | y |
| 69.4% | 2 | (/.f64 (sin.f64 y) y) |
| 69.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)))) |
(*.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) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 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)))) |
(*.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 #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) #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 #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) (fma.f64 #s(literal -1/6 binary64) (*.f64 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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) (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) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
2 calls:
| 6.0ms | (/.f64 (sin.f64 y) y) |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 69.4% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)))) |
(*.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) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 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)))) |
(*.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 #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) #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 #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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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) (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) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 35.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.2% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 4 to 4 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)))) |
(*.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) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 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)))) |
(*.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 #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) #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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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 #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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 5.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.1% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 4 to 4 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)))) |
(*.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) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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 #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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 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)))) |
| 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 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
2 calls:
| 55.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 5.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 60.4% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)))) |
(*.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) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #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)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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)))) |
5 calls:
| 55.0ms | 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 |
|---|---|---|
| 48.1% | 1 | (cosh.f64 x) |
| 48.1% | 1 | y |
| 52.2% | 3 | x |
| 50.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 58.1% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)))) |
| Outputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 3 | x |
| 45.3% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 5 to 6 computations (-20% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #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) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
5 calls:
| 11.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| 3.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.3% | 2 | (/.f64 (sin.f64 y) y) |
| 39.1% | 2 | (cosh.f64 x) |
| 38.2% | 3 | y |
| 45.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 41.3% | 3 | x |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
5 calls:
| 39.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 2.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.3% | 1 | y |
| 30.3% | 1 | (cosh.f64 x) |
| 30.3% | 1 | x |
| 30.3% | 1 | (/.f64 (sin.f64 y) y) |
| 30.3% | 1 | (*.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 |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #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)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
| Outputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
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 |
|---|---|---|
| 9.0% | 1 | y |
| 9.0% | 1 | (cosh.f64 x) |
| 9.0% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 9.0% | 1 | x |
| 9.0% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2413775910149087e-16 | 1.0 |
| 0.0ms | -inf | -0.027852744392367505 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.5100405633528735e+151 | 1.8801448208218815e+157 |
| 68.0ms | 0.00019837297321343214 | 0.0009199364798422567 |
| 27.0ms | 240× | 0 | valid |
Compiled 430 to 371 computations (13.7% saved)
ival-sin: 15.0ms (70.1% of total)ival-cosh: 3.0ms (14% of total)ival-div: 2.0ms (9.3% of total)ival-mult: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2413775910149087e-16 | 1.0 |
| 0.0ms | -inf | -0.027852744392367505 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2413775910149087e-16 | 1.0 |
| 0.0ms | -inf | -0.027852744392367505 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.2431091746748045e-278 | 2.1844261576806805e-305 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00016978381618628364 | 0.9999808812190131 |
| 0.0ms | -1.7947083140368037e-302 | 2.1844261576806805e-305 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00016978381618628364 | 0.9999808812190131 |
| 0.0ms | -1.7947083140368037e-302 | 2.1844261576806805e-305 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00016978381618628364 | 0.9999808812190131 |
| 0.0ms | -1.7947083140368037e-302 | 2.1844261576806805e-305 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.7947083140368037e-302 | 2.1844261576806805e-305 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00016978381618628364 | 0.9999808812190131 |
| 0.0ms | -1.7947083140368037e-302 | 2.1844261576806805e-305 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.37574653136446e+144 | 2.1946374002864513e+144 |
| 28.0ms | 0.03639453143881653 | 3500.7441707897437 |
| 26.0ms | 208× | 0 | valid |
Compiled 675 to 507 computations (24.9% saved)
ival-cosh: 14.0ms (65.7% of total)ival-sin: 4.0ms (18.8% of total)ival-div: 1.0ms (4.7% of total)ival-mult: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0006623540652313 | +inf |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 997 |
| 1 | 176 | 997 |
| 2 | 203 | 997 |
| 3 | 227 | 997 |
| 4 | 265 | 997 |
| 5 | 309 | 997 |
| 6 | 396 | 997 |
| 7 | 676 | 997 |
| 8 | 3449 | 997 |
| 9 | 7496 | 997 |
| 1× | node limit |
| 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) (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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2028240960365167/5070602400912917605986812821504 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) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal 4196634276768923/4611686018427387904 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)) (if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.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) (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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2028240960365167/5070602400912917605986812821504 binary64)) (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) (*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #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) (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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2028240960365167/5070602400912917605986812821504 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -6386688990511103/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7378697629483821/36893488147419103232 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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7378697629483821/36893488147419103232 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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7378697629483821/36893488147419103232 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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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 7378697629483821/36893488147419103232 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #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)))))) |
(if (<=.f64 x #s(literal 280 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal 1849999999999999827314230010315884006642409030304647715854263715304269309459020823733838939885252294141289566011699675881529458004642601772253184 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
| Outputs |
|---|
(*.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) (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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2028240960365167/5070602400912917605986812821504 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) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal 4196634276768923/4611686018427387904 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)) (if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 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 (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)))) |
(if (or (<=.f64 x #s(literal 4196634276768923/4611686018427387904 binary64)) (not (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 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) (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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2028240960365167/5070602400912917605986812821504 binary64)) (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) (*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #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) (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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2028240960365167/5070602400912917605986812821504 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -6386688990511103/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7378697629483821/36893488147419103232 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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7378697629483821/36893488147419103232 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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (or (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) (not (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7378697629483821/36893488147419103232 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) (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) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7378697629483821/36893488147419103232 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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (or (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) (not (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7378697629483821/36893488147419103232 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 #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(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 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 7378697629483821/36893488147419103232 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #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)))))) |
(if (or (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) (not (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7378697629483821/36893488147419103232 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) (/ (sin y) y)) #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))))) |
(if (<=.f64 x #s(literal 280 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal 1849999999999999827314230010315884006642409030304647715854263715304269309459020823733838939885252294141289566011699675881529458004642601772253184 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin 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) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal 280 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (pow.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1849999999999999827314230010315884006642409030304647715854263715304269309459020823733838939885252294141289566011699675881529458004642601772253184 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (pow.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.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)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin 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)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (cosh x) (/ (sin y) y)) (pow.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) #s(literal -1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 458 |
| 1 | 352 | 434 |
| 2 | 1175 | 408 |
| 3 | 3808 | 385 |
| 0 | 8287 | 344 |
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 27 | 15 |
| 2 | 130 | 15 |
| 3 | 1025 | 15 |
| 0 | 8482 | 15 |
| 0 | 43 | 302 |
| 0 | 66 | 302 |
| 1 | 225 | 302 |
| 2 | 1397 | 302 |
| 0 | 8780 | 302 |
| 0 | 29 | 118 |
| 0 | 48 | 118 |
| 1 | 140 | 107 |
| 2 | 819 | 107 |
| 3 | 6597 | 107 |
| 0 | 8135 | 107 |
| 0 | 230 | 1051 |
| 1 | 705 | 969 |
| 2 | 2466 | 906 |
| 3 | 5972 | 876 |
| 0 | 8096 | 792 |
| 0 | 152 | 628 |
| 1 | 481 | 604 |
| 2 | 1504 | 570 |
| 3 | 4679 | 549 |
| 0 | 8504 | 494 |
| 0 | 83 | 332 |
| 1 | 268 | 308 |
| 2 | 938 | 282 |
| 3 | 3157 | 263 |
| 0 | 8065 | 233 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 741 to 722 computations (58.5% saved)
(abs x)
(abs y)
Compiled 2 078 to 358 computations (82.8% saved)
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