
Time bar (total: 6.3s)
| 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 8 to 7 computations (12.5% saved)
| 1.3s | 8 256× | 0 | valid |
ival-sin: 374.0ms (53.3% of total)ival-div: 213.0ms (30.4% of total)ival-mult: 102.0ms (14.5% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 4.0ms (0.6% of total)adjust: 2.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 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 |
| 58.0ms | 512× | 0 | valid |
Compiled 38 to 19 computations (50% saved)
ival-mult: 12.0ms (42.5% of total)ival-sin: 11.0ms (39% of total)ival-div: 4.0ms (14.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 36 |
| 1 | 36 | 32 |
| 2 | 81 | 32 |
| 3 | 134 | 32 |
| 4 | 257 | 32 |
| 5 | 523 | 32 |
| 6 | 1188 | 32 |
| 7 | 2906 | 32 |
| 8 | 6152 | 32 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 11 | 6 |
| 2 | 13 | 6 |
| 3 | 15 | 6 |
| 4 | 16 | 6 |
| 0 | 16 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(abs y)
(negabs x)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 11 | 14 |
| 2 | 13 | 14 |
| 3 | 15 | 14 |
| 4 | 16 | 14 |
| 0 | 16 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.08984375 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.12109375 | (/.f64 (sin.f64 y) y) |
| 20.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sin: 6.0ms (58.3% of total)ival-div: 2.0ms (19.4% of total)ival-mult: 2.0ms (19.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (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) y) |
(sin y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | y | @ | inf | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | y | @ | -inf | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | x | @ | -inf | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | x | @ | inf | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 150 |
| 1 | 142 | 150 |
| 2 | 478 | 140 |
| 3 | 2043 | 138 |
| 4 | 4988 | 138 |
| 0 | 8032 | 124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (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) y) |
(sin y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (-.f64 (*.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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #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)) (-.f64 (*.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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 0 | 8 | 12 |
| 1 | 14 | 12 |
| 2 | 37 | 12 |
| 3 | 145 | 12 |
| 4 | 841 | 12 |
| 0 | 8404 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (*.f64 y (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 y (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 y (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))))) |
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 x (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 (sin.f64 y)) y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) x) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) (neg.f64 y))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) y)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) (neg.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) x (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) (neg.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x y))) |
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(fma.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y))) |
(fma.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (*.f64 x (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x y))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) (neg.f64 x)) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) x) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) x)) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (cos.f64 y))) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y))) |
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (*.f64 x (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) x) (neg.f64 y)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) x) (neg.f64 y))) |
(+.f64 (/.f64 (*.f64 x (*.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) (/.f64 (*.f64 x (*.f64 #s(literal 0 binary64) (cos.f64 y))) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y))) (/.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y))) (/.f64 (sin.f64 y) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 y)) (*.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))) (*.f64 y y)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y)) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)) |
(+.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (sin.f64 y)) |
(/.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) (-.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) (sin.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))))) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (sin.f64 y) (neg.f64 (sin.f64 y))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 y))))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(fma.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(fma.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(fma.f64 (cos.f64 y) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 y) (sin.f64 (+.f64 (PI.f64) (PI.f64))))) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(sin.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)))) |
(sin.f64 (neg.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal -2 binary64))))) |
(sin.f64 (neg.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)))) |
(sin.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (-.f64 y (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (PI.f64) (neg.f64 y))) |
(sin.f64 (neg.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal -2 binary64)))) |
(sin.f64 (-.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) |
(sin.f64 (-.f64 (neg.f64 y) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 y) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (sin.f64 y) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 0 binary64))) |
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (-.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (-.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(cos.f64 (-.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) (*.f64 (cos.f64 y) (sin.f64 (+.f64 (PI.f64) (PI.f64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
Compiled 2 976 to 631 computations (78.8% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 154 | 12 | 166 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 154 | 13 | 167 |
| Status | Accuracy | Program |
|---|---|---|
| 59.3% | (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) y)) | |
| 69.4% | (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y)) | |
| ▶ | 87.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 88.3% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ▶ | 65.7% | (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))) |
| 48.6% | (*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y)) | |
| 50.8% | (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) y)) | |
| 16.3% | (*.f64 x (/.f64 (sin.f64 (-.f64 (neg.f64 y) (PI.f64))) y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 54.3% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 54.3% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 54.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) | |
| ▶ | 53.8% | #s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
Compiled 388 to 277 computations (28.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 3 | (*.f64 #s(literal 0 binary64) (cos.f64 y)) | |
| cost-diff | 3 | (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y))) | |
| cost-diff | 3 | (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) | |
| cost-diff | 4 | (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (sin.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 184 |
| 0 | 53 | 152 |
| 1 | 118 | 146 |
| 2 | 451 | 136 |
| 3 | 2141 | 136 |
| 4 | 6176 | 136 |
| 0 | 8669 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))) |
x |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(*.f64 #s(literal -1 binary64) (sin.f64 y)) |
#s(literal -1 binary64) |
(sin.f64 y) |
y |
(neg.f64 y) |
(*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(*.f64 #s(literal 0 binary64) (cos.f64 y)) |
#s(literal 0 binary64) |
(cos.f64 y) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
x |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
x |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)) |
(/.f64 (sin.f64 y) y) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(*.f64 (sin.f64 y) y) |
(*.f64 #s(literal -1 binary64) (sin.f64 y)) |
(neg.f64 (sin.f64 y)) |
#s(literal -1 binary64) |
(sin.f64 y) |
y |
(neg.f64 y) |
(*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
#s(literal 0 binary64) |
(*.f64 #s(literal 0 binary64) (cos.f64 y)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(cos.f64 y) |
(*.f64 y y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.08984375 | (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))) | |
| accuracy | 0.10546875 | (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) | |
| accuracy | 26.977601525261754 | (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.1484375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 7.8645024430922525 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| accuracy | 0.08984375 | (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) | |
| accuracy | 0.1328125 | (*.f64 #s(literal 1/120 binary64) y) | |
| accuracy | 2.1635993073803492 | (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| accuracy | 29.539147691545516 | #s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.08984375 | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| accuracy | 29.423792837490335 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 7.47549793984504 | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 94.0ms | 256× | 0 | valid |
Compiled 176 to 32 computations (81.8% saved)
ival-mult: 38.0ms (49.6% of total)ival-div: 14.0ms (18.3% of total)const: 7.0ms (9.1% of total)ival-sin: 6.0ms (7.8% of total)ival-cos: 5.0ms (6.5% of total)ival-add: 4.0ms (5.2% of total)ival-neg: 3.0ms (3.9% of total)adjust: 0.0ms (0% 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 x y) (sin.f64 y)) |
(/.f64 x y) |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(*.f64 #s(literal 0 binary64) (cos.f64 y)) |
(*.f64 #s(literal 1/120 binary64) y) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))) |
(cos.f64 y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/ x y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (sin y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
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 |
(+ 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) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* (pow y 2) (+ 1 (* -1/6 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
0 |
(* 1/120 y) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(sin y) |
(/ (sin y) y) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* y (sin y)) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(cos y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | y | @ | inf | ((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y)) (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* (neg y) (* 0 (cos y))) (* 0 (cos y)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y)) |
| 4.0ms | x | @ | -inf | ((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y)) (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* (neg y) (* 0 (cos y))) (* 0 (cos y)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y)) |
| 3.0ms | y | @ | -inf | ((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y)) (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* (neg y) (* 0 (cos y))) (* 0 (cos y)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y)) |
| 3.0ms | x | @ | 0 | ((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y)) (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* (neg y) (* 0 (cos y))) (* 0 (cos y)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y)) |
| 2.0ms | x | @ | inf | ((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y)) (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* (neg y) (* 0 (cos y))) (* 0 (cos y)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 429 |
| 1 | 305 | 429 |
| 2 | 947 | 407 |
| 3 | 4050 | 397 |
| 0 | 8076 | 357 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(/ x y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (sin y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
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 |
(+ 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) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* (pow y 2) (+ 1 (* -1/6 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
0 |
(* 1/120 y) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(sin y) |
(/ (sin y) y) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* y (sin y)) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(cos y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) (*.f64 y y) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #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) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 5 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))) |
(* (pow y 2) (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (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) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y)) |
0 |
#s(literal 0 binary64) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 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 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(sin y) |
(sin.f64 y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* 1/120 (* x (pow y 4))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) x) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* y (sin y)) |
(*.f64 (sin.f64 y) 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)) |
(cos y) |
(cos.f64 y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 156 |
| 0 | 53 | 125 |
| 1 | 170 | 119 |
| 2 | 1204 | 109 |
| 0 | 9799 | 109 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(*.f64 #s(literal 0 binary64) (cos.f64 y)) |
(*.f64 #s(literal 1/120 binary64) y) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))) |
(cos.f64 y) |
| Outputs |
|---|
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y)) |
(*.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y)) |
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y))) |
(*.f64 (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal 0 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (*.f64 (/.f64 (sin.f64 y) y) x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 (sin.f64 y) y) y))) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sin.f64 y) y) y))) |
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 (sin.f64 y) y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (*.f64 (pow.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64)) y))) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (neg.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x) y) |
(/.f64 (*.f64 x (/.f64 (*.f64 (sin.f64 y) y) y)) y) |
(/.f64 (*.f64 x (pow.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 y (*.f64 (*.f64 (sin.f64 y) y) y))) |
(/.f64 (*.f64 x (pow.f64 (*.f64 (sin.f64 y) y) #s(literal 3 binary64))) (*.f64 y (*.f64 (pow.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64)) y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (neg.f64 y)) y)) |
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sin.f64 y) y) y)) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) x) (*.f64 y y))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 (neg.f64 y) y))) |
(neg.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 x) y))) |
(neg.f64 (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (sin.f64 y) y) y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y)) |
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) y)) #s(literal -1 binary64) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (/.f64 (neg.f64 x) y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (sin.f64 y) y) y) (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 (*.f64 (sin.f64 y) y) y) (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 (sin.f64 y) y) y) (/.f64 x y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sin.f64 y) y) x (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 (sin.f64 y) y) x (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (sin.f64 y) y) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) (/.f64 x y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 y) (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (sin.f64 y) (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 y) (/.f64 x y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(fma.f64 (/.f64 x y) (sin.f64 y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (sin.f64 y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 x y) (sin.f64 y) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (sin.f64 y) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 x (/.f64 (sin.f64 y) y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 x (/.f64 (sin.f64 y) y) #s(literal 0 binary64)) |
(-.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64)) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
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(fma.f64 (/.f64 (sin.f64 y) y) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) (/.f64 x y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 y) (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (sin.f64 y) (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 y) (/.f64 x y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(fma.f64 (/.f64 x y) (sin.f64 y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (sin.f64 y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 x y) (sin.f64 y) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (sin.f64 y) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 x (/.f64 (sin.f64 y) y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(fma.f64 x (/.f64 (sin.f64 y) y) #s(literal 0 binary64)) |
(-.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64)) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(sin.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
Compiled 15 915 to 2 193 computations (86.2% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 684 | 8 | 692 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 689 | 16 | 705 |
| Status | Accuracy | Program |
|---|---|---|
| 62.6% | (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) | |
| 69.4% | (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y)) | |
| ▶ | 56.0% | (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
| 16.3% | (/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y) | |
| ✓ | 87.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 42.2% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
| ✓ | 88.3% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ▶ | 87.2% | (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
| 75.1% | (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 99.3% | (*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))) |
| 54.3% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 54.3% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 54.3% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
| 54.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) | |
| ✓ | 53.8% | #s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
Compiled 314 to 228 computations (27.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (sin.f64 y) y) x) | |
| cost-diff | 4 | (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 2 | (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 2 | (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 126 |
| 0 | 40 | 124 |
| 1 | 76 | 116 |
| 2 | 185 | 116 |
| 3 | 594 | 116 |
| 4 | 2328 | 116 |
| 5 | 4966 | 116 |
| 6 | 6728 | 116 |
| 7 | 7665 | 116 |
| 0 | 8506 | 116 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))) |
x |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
x |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
x |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
x |
(*.f64 y y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.10546875 | (*.f64 (sin.f64 y) y) | |
| accuracy | 2.9159832319217514 | (*.f64 (*.f64 (sin.f64 y) y) x) | |
| accuracy | 27.685823470409645 | (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.1484375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 8.170405094524181 | (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 7.8645024430922525 | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) | |
| accuracy | 29.511901654028005 | #s(approx (* (sin y) x) (*.f64 y x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.2967193737039004 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| accuracy | 6.85874240531776 | (*.f64 (*.f64 y y) x) | |
| accuracy | 29.25199422920699 | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.08984375 | (*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0.46712875976844204 | (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
| 81.0ms | 256× | 0 | valid |
Compiled 112 to 23 computations (79.5% saved)
ival-div: 26.0ms (41.3% of total)ival-mult: 25.0ms (39.7% of total)ival-sin: 6.0ms (9.5% of total)const: 4.0ms (6.4% of total)ival-add: 1.0ms (1.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(sin.f64 y) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (sin.f64 y) x) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (pow y 2)) |
(* x (sin y)) |
(* x y) |
(* x (* y (sin y))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
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 y) |
(pow y 2) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* (pow y 2) (+ x (* -1/6 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* (pow y 2) (+ 1 (* -1/6 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (sin y) y) |
(sin y) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* y (sin y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((* (sin y) (/ 1 y)) (* x (* (sin y) (/ 1 y))) (sin y) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (* (sin y) x) (/ 1 y)) (* (sin y) x) (/ (* (* (sin y) y) x) (* y y)) (* (* (sin y) y) x) (* (sin y) y)) |
| 5.0ms | x | @ | -inf | ((* (sin y) (/ 1 y)) (* x (* (sin y) (/ 1 y))) (sin y) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (* (sin y) x) (/ 1 y)) (* (sin y) x) (/ (* (* (sin y) y) x) (* y y)) (* (* (sin y) y) x) (* (sin y) y)) |
| 3.0ms | x | @ | inf | ((* (sin y) (/ 1 y)) (* x (* (sin y) (/ 1 y))) (sin y) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (* (sin y) x) (/ 1 y)) (* (sin y) x) (/ (* (* (sin y) y) x) (* y y)) (* (* (sin y) y) x) (* (sin y) y)) |
| 3.0ms | y | @ | -inf | ((* (sin y) (/ 1 y)) (* x (* (sin y) (/ 1 y))) (sin y) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (* (sin y) x) (/ 1 y)) (* (sin y) x) (/ (* (* (sin y) y) x) (* y y)) (* (* (sin y) y) x) (* (sin y) y)) |
| 2.0ms | y | @ | inf | ((* (sin y) (/ 1 y)) (* x (* (sin y) (/ 1 y))) (sin y) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (* (sin y) x) (/ 1 y)) (* (sin y) x) (/ (* (* (sin y) y) x) (* y y)) (* (* (sin y) y) x) (* (sin y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 384 |
| 1 | 241 | 384 |
| 2 | 794 | 356 |
| 3 | 3541 | 350 |
| 4 | 7634 | 350 |
| 0 | 8148 | 318 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (pow y 2)) |
(* x (sin y)) |
(* x y) |
(* x (* y (sin y))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
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 y) |
(pow y 2) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* (pow y 2) (+ x (* -1/6 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* (pow y 2) (+ 1 (* -1/6 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (sin y) y) |
(sin y) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* y (sin y)) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x y) |
(*.f64 x y) |
(* x (* y (sin y))) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.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 (-.f64 (*.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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(pow y 2) |
(*.f64 y y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 x y)) |
(* (pow y 2) (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y) y) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* y (sin y)) |
(*.f64 (sin.f64 y) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 103 |
| 0 | 40 | 101 |
| 1 | 103 | 93 |
| 2 | 427 | 93 |
| 3 | 3329 | 93 |
| 0 | 9036 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(sin.f64 y) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (sin.f64 y) x) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) y) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.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 (sin.f64 y) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 y (/.f64 (sin.f64 y) (*.f64 y y))) |
(/.f64 (*.f64 (sin.f64 y) y) (*.f64 y y)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (/.f64 x y) y) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (*.f64 x (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 binary64)) #s(literal 1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)) y) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 (sin.f64 y) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y)) |
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (*.f64 y y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 y (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x y))) |
(*.f64 y (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y))) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) y) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) y) |
(*.f64 #s(literal -1 binary64) (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 (sin.f64 y) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(*.f64 y (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) y) y) |
(neg.f64 (sin.f64 y)) |
(fma.f64 (sin.f64 y) (cos.f64 (PI.f64)) (*.f64 (cos.f64 y) (sin.f64 (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 y (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 y (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 y (PI.f64))) |
(sin.f64 y) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (PI.f64))) (*.f64 (cos.f64 y) (sin.f64 (PI.f64)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 y (*.f64 y y)) |
(neg.f64 (pow.f64 y #s(literal -1 binary64))) |
(sqrt.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))) |
(fabs.f64 (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (neg.f64 (log.f64 y))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))) |
#s(approx (* (/ x y) (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) x) (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64))))) |
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(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x))) (*.f64 (*.f64 y y) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal -1/6 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) x) |
(+.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) |
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(neg.f64 (*.f64 (*.f64 y y) x)) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (*.f64 y y) x)) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 y y) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 y y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (/.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
(neg.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(neg.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y)))) |
(*.f64 x y) |
(*.f64 y x) |
(neg.f64 (*.f64 x y)) |
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) y) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (*.f64 x (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 binary64)) #s(literal 1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)) y) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 (sin.f64 y) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y)) |
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (*.f64 y y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 y (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x y))) |
(*.f64 y (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y))) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) y) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (*.f64 #s(literal -1 binary64) x) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x y)) |
(*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (*.f64 (sin.f64 y) y)) |
(*.f64 x (sin.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 y (*.f64 (/.f64 (sin.f64 y) y) x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) |
(neg.f64 (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 x y) y) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (*.f64 x (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 binary64)) #s(literal 1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)) y) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 (sin.f64 y) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y)) |
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (*.f64 y y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 y (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x y))) |
(*.f64 y (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y))) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) y) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x (sin.f64 y)) y) |
(*.f64 (*.f64 x y) (sin.f64 y)) |
(*.f64 x (*.f64 (sin.f64 y) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) y) x)) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (sin.f64 y) (*.f64 x y)) |
(*.f64 y (*.f64 x (sin.f64 y))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 y) y) x)) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1 binary64) y)) |
(*.f64 (sin.f64 y) y) |
(*.f64 y (sin.f64 y)) |
(neg.f64 (*.f64 (sin.f64 y) y)) |
Compiled 15 640 to 1 485 computations (90.5% saved)
22 alts after pruning (13 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 492 | 7 | 499 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 493 | 22 | 515 |
| Status | Accuracy | Program |
|---|---|---|
| 62.6% | (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) | |
| 69.4% | (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y)) | |
| ✓ | 56.0% | (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
| ▶ | 16.3% | (/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y) |
| ✓ | 87.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 3.8% | (/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) |
| ✓ | 42.2% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
| ✓ | 88.3% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 87.2% | (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 75.1% | (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 99.3% | (*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))) |
| 54.3% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 54.3% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 54.3% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) | |
| ▶ | 54.3% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
| 54.3% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) | |
| 54.3% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x)) | |
| 53.1% | #s(approx (* (/ x y) (sin y)) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x))) (*.f64 (*.f64 y y) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)))) | |
| ▶ | 3.2% | #s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
| 54.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) | |
| ✓ | 53.8% | #s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
Compiled 522 to 342 computations (34.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (+.f64 y (PI.f64))) | |
| cost-diff | 0 | (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y) | |
| cost-diff | 3 | (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 x y)) | |
| cost-diff | 0 | (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) | |
| cost-diff | 0 | (/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x) | |
| cost-diff | 0 | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y)) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 4 | (/.f64 (*.f64 (sin.f64 y) y) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 192 |
| 0 | 60 | 188 |
| 1 | 105 | 175 |
| 2 | 234 | 169 |
| 3 | 600 | 169 |
| 4 | 1435 | 169 |
| 5 | 3373 | 169 |
| 6 | 5501 | 169 |
| 0 | 8086 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
x |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 (*.f64 (sin.f64 y) y) y) |
(*.f64 (sin.f64 y) y) |
(sin.f64 y) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
x |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) |
(neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y) |
(*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) |
(sin.f64 (neg.f64 (+.f64 y (PI.f64)))) |
(neg.f64 (+.f64 y (PI.f64))) |
(+.f64 y (PI.f64)) |
y |
(PI.f64) |
x |
| Outputs |
|---|
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 x y) |
x |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 (*.f64 (sin.f64 y) y) y) |
(sin.f64 y) |
(*.f64 (sin.f64 y) y) |
(sin.f64 y) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
#s(approx (* (/ x y) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
x |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (neg.f64 y)) |
(neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) |
(neg.f64 #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (* (sin y) x) (*.f64 x y)) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) |
(*.f64 (sin.f64 y) x) |
(sin.f64 (neg.f64 (+.f64 y (PI.f64)))) |
(sin.f64 y) |
(neg.f64 (+.f64 y (PI.f64))) |
(neg.f64 (+.f64 (PI.f64) y)) |
(+.f64 y (PI.f64)) |
(+.f64 (PI.f64) y) |
y |
(PI.f64) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1484375 | (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) | |
| accuracy | 0.2421816038481547 | (PI.f64) | |
| accuracy | 7.8645024430922525 | (/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y) | |
| accuracy | 60.54401851185715 | (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0 | (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) | |
| accuracy | 7.8645024430922525 | (/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) | |
| accuracy | 29.511901654028005 | #s(approx (* (sin y) x) (*.f64 x y)) | |
| accuracy | 0.0625 | (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) | |
| accuracy | 0.3046875 | (*.f64 #s(literal -1/6 binary64) y) | |
| accuracy | 29.25199422920699 | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) | |
| accuracy | 0.4060943737039004 | (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) | |
| accuracy | 6.85874240531776 | (*.f64 (*.f64 y y) x) | |
| accuracy | 29.25199422920699 | #s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) | |
| accuracy | 33.008964435032475 | #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) | |
| accuracy | 0.10546875 | (*.f64 (sin.f64 y) y) | |
| accuracy | 0.19140625 | (*.f64 x (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 7.234380298181584 | (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y)) | |
| accuracy | 13.283927364404487 | (/.f64 (*.f64 (sin.f64 y) y) y) |
| 177.0ms | 197× | 1 | valid |
| 51.0ms | 51× | 2 | valid |
| 2.0ms | 7× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 148 to 32 computations (78.4% saved)
ival-sin: 48.0ms (34.1% of total)ival-mult: 27.0ms (19.2% of total)ival-add: 23.0ms (16.3% of total)adjust: 17.0ms (12.1% of total)ival-div: 11.0ms (7.8% of total)const: 6.0ms (4.3% of total)ival-neg: 6.0ms (4.3% of total)ival-pi: 3.0ms (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 (sin.f64 y) y) y) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) x) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(*.f64 #s(literal -1/6 binary64) y) |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) |
(neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
(sin.f64 (neg.f64 (+.f64 y (PI.f64)))) |
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y) |
(*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) |
(neg.f64 (+.f64 y (PI.f64))) |
(*.f64 (sin.f64 y) y) |
(PI.f64) |
| Outputs |
|---|
(/ x y) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* x (pow y 2)) |
(* -1/6 (* x y)) |
(* -1 (/ (* x (sin y)) y)) |
(* -1 (* x (sin y))) |
(* x (sin y)) |
(* x y) |
(/ (* x (sin (neg (+ y (PI))))) y) |
(* x (sin (neg (+ y (PI))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
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)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ 1 y) |
(* -1/6 y) |
(* -1 x) |
(+ (* -1 x) (* 1/6 (* x (pow y 2)))) |
(+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))) |
(* -1 (* x y)) |
(* y (- (* 1/6 (* x (pow y 2))) x)) |
(* y (- (* (pow y 2) (- (* -1/120 (* x (pow y 2))) (* -1/6 x))) x)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* x (pow y 2))) (* 1/120 x))) (* -1/6 x))) x)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(sin (neg (PI))) |
(+ (sin (neg (PI))) (* -1 (* y (cos (neg (PI)))))) |
(+ (sin (neg (PI))) (* y (+ (* -1 (cos (neg (PI)))) (* -1/2 (* y (sin (neg (PI)))))))) |
(+ (sin (neg (PI))) (* y (+ (* -1 (cos (neg (PI)))) (* y (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* y (cos (neg (PI)))))))))) |
(/ (* x (sin (neg (PI)))) y) |
(/ (+ (* -1 (* x (* y (cos (neg (PI)))))) (* x (sin (neg (PI))))) y) |
(/ (+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* -1/2 (* x (* y (sin (neg (PI))))))))) y) |
(/ (+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* 1/6 (* x (* y (cos (neg (PI))))))))))) y) |
(* x (sin (neg (PI)))) |
(+ (* -1 (* x (* y (cos (neg (PI)))))) (* x (sin (neg (PI))))) |
(+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* -1/2 (* x (* y (sin (neg (PI))))))))) |
(+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* 1/6 (* x (* y (cos (neg (PI))))))))))) |
(* -1 (PI)) |
(- (* -1 y) (PI)) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/6 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(sin (neg (+ y (PI)))) |
(* -1 y) |
(* y (- (* -1 (/ (PI) y)) 1)) |
(* y (sin y)) |
(sin (- (* -1 y) (PI))) |
(/ (* x (sin (- (* -1 y) (PI)))) y) |
(* x (sin (- (* -1 y) (PI)))) |
(* -1 (* y (+ 1 (/ (PI) y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | x | @ | inf | ((/ (* (sin y) y) y) (* x (/ 1 y)) (* (* x (/ 1 y)) (/ (* (sin y) y) y)) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (neg (* (sin y) x)) y) (neg (* (sin y) x)) (* (sin y) x) (* x y) (sin (neg (+ y (PI)))) (/ (* (sin (neg (+ y (PI)))) x) y) (* (sin (neg (+ y (PI)))) x) (neg (+ y (PI))) (* (sin y) y) (PI)) |
| 4.0ms | x | @ | -inf | ((/ (* (sin y) y) y) (* x (/ 1 y)) (* (* x (/ 1 y)) (/ (* (sin y) y) y)) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (neg (* (sin y) x)) y) (neg (* (sin y) x)) (* (sin y) x) (* x y) (sin (neg (+ y (PI)))) (/ (* (sin (neg (+ y (PI)))) x) y) (* (sin (neg (+ y (PI)))) x) (neg (+ y (PI))) (* (sin y) y) (PI)) |
| 4.0ms | y | @ | -inf | ((/ (* (sin y) y) y) (* x (/ 1 y)) (* (* x (/ 1 y)) (/ (* (sin y) y) y)) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (neg (* (sin y) x)) y) (neg (* (sin y) x)) (* (sin y) x) (* x y) (sin (neg (+ y (PI)))) (/ (* (sin (neg (+ y (PI)))) x) y) (* (sin (neg (+ y (PI)))) x) (neg (+ y (PI))) (* (sin y) y) (PI)) |
| 3.0ms | x | @ | 0 | ((/ (* (sin y) y) y) (* x (/ 1 y)) (* (* x (/ 1 y)) (/ (* (sin y) y) y)) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (neg (* (sin y) x)) y) (neg (* (sin y) x)) (* (sin y) x) (* x y) (sin (neg (+ y (PI)))) (/ (* (sin (neg (+ y (PI)))) x) y) (* (sin (neg (+ y (PI)))) x) (neg (+ y (PI))) (* (sin y) y) (PI)) |
| 3.0ms | y | @ | inf | ((/ (* (sin y) y) y) (* x (/ 1 y)) (* (* x (/ 1 y)) (/ (* (sin y) y) y)) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (neg (* (sin y) x)) y) (neg (* (sin y) x)) (* (sin y) x) (* x y) (sin (neg (+ y (PI)))) (/ (* (sin (neg (+ y (PI)))) x) y) (* (sin (neg (+ y (PI)))) x) (neg (+ y (PI))) (* (sin y) y) (PI)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 502 |
| 1 | 528 | 493 |
| 2 | 2041 | 463 |
| 3 | 6013 | 463 |
| 0 | 8068 | 427 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* x (pow y 2)) |
(* -1/6 (* x y)) |
(* -1 (/ (* x (sin y)) y)) |
(* -1 (* x (sin y))) |
(* x (sin y)) |
(* x y) |
(/ (* x (sin (neg (+ y (PI))))) y) |
(* x (sin (neg (+ y (PI))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
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)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ 1 y) |
(* -1/6 y) |
(* -1 x) |
(+ (* -1 x) (* 1/6 (* x (pow y 2)))) |
(+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))) |
(* -1 (* x y)) |
(* y (- (* 1/6 (* x (pow y 2))) x)) |
(* y (- (* (pow y 2) (- (* -1/120 (* x (pow y 2))) (* -1/6 x))) x)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* x (pow y 2))) (* 1/120 x))) (* -1/6 x))) x)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(sin (neg (PI))) |
(+ (sin (neg (PI))) (* -1 (* y (cos (neg (PI)))))) |
(+ (sin (neg (PI))) (* y (+ (* -1 (cos (neg (PI)))) (* -1/2 (* y (sin (neg (PI)))))))) |
(+ (sin (neg (PI))) (* y (+ (* -1 (cos (neg (PI)))) (* y (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* y (cos (neg (PI)))))))))) |
(/ (* x (sin (neg (PI)))) y) |
(/ (+ (* -1 (* x (* y (cos (neg (PI)))))) (* x (sin (neg (PI))))) y) |
(/ (+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* -1/2 (* x (* y (sin (neg (PI))))))))) y) |
(/ (+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* 1/6 (* x (* y (cos (neg (PI))))))))))) y) |
(* x (sin (neg (PI)))) |
(+ (* -1 (* x (* y (cos (neg (PI)))))) (* x (sin (neg (PI))))) |
(+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* -1/2 (* x (* y (sin (neg (PI))))))))) |
(+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* 1/6 (* x (* y (cos (neg (PI))))))))))) |
(* -1 (PI)) |
(- (* -1 y) (PI)) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/6 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(sin (neg (+ y (PI)))) |
(* -1 y) |
(* y (- (* -1 (/ (PI) y)) 1)) |
(* y (sin y)) |
(sin (- (* -1 y) (PI))) |
(/ (* x (sin (- (* -1 y) (PI)))) y) |
(* x (sin (- (* -1 y) (PI)))) |
(* -1 (* y (+ 1 (/ (PI) y)))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* -1/6 (* x y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(* -1 (/ (* x (sin y)) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) |
(* -1 (* x (sin y))) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x y) |
(*.f64 x y) |
(/ (* x (sin (neg (+ y (PI))))) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(* x (sin (neg (+ y (PI))))) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* 1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))) |
(neg.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))) (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (- (* 1/6 (* x (pow y 2))) x)) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* y (- (* (pow y 2) (- (* -1/120 (* x (pow y 2))) (* -1/6 x))) x)) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) y) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* x (pow y 2))) (* 1/120 x))) (* -1/6 x))) x)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))) (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) x) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 x y)) |
(sin (neg (PI))) |
#s(literal 0 binary64) |
(+ (sin (neg (PI))) (* -1 (* y (cos (neg (PI)))))) |
y |
(+ (sin (neg (PI))) (* y (+ (* -1 (cos (neg (PI)))) (* -1/2 (* y (sin (neg (PI)))))))) |
y |
(+ (sin (neg (PI))) (* y (+ (* -1 (cos (neg (PI)))) (* y (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* y (cos (neg (PI)))))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(/ (* x (sin (neg (PI)))) y) |
#s(literal 0 binary64) |
(/ (+ (* -1 (* x (* y (cos (neg (PI)))))) (* x (sin (neg (PI))))) y) |
x |
(/ (+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* -1/2 (* x (* y (sin (neg (PI))))))))) y) |
x |
(/ (+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* 1/6 (* x (* y (cos (neg (PI))))))))))) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (sin (neg (PI)))) |
#s(literal 0 binary64) |
(+ (* -1 (* x (* y (cos (neg (PI)))))) (* x (sin (neg (PI))))) |
(*.f64 x y) |
(+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* -1/2 (* x (* y (sin (neg (PI))))))))) |
(*.f64 x y) |
(+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* 1/6 (* x (* y (cos (neg (PI))))))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y) |
(* -1 (PI)) |
(neg.f64 (PI.f64)) |
(- (* -1 y) (PI)) |
(-.f64 (neg.f64 (PI.f64)) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y)) |
(sin y) |
(sin.f64 y) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(sin (neg (+ y (PI)))) |
(sin.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 (/ (PI) y)) 1)) |
(*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) y) #s(literal 1 binary64)) y) |
(* y (sin y)) |
(*.f64 (sin.f64 y) y) |
(sin (- (* -1 y) (PI))) |
(sin.f64 y) |
(/ (* x (sin (- (* -1 y) (PI)))) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(* x (sin (- (* -1 y) (PI)))) |
(*.f64 (sin.f64 y) x) |
(* -1 (* y (+ 1 (/ (PI) y)))) |
(-.f64 (neg.f64 (PI.f64)) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 171 |
| 0 | 60 | 175 |
| 1 | 166 | 158 |
| 2 | 913 | 148 |
| 3 | 7313 | 148 |
| 0 | 8095 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) y) y) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) x) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(*.f64 #s(literal -1/6 binary64) y) |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) |
(neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
(sin.f64 (neg.f64 (+.f64 y (PI.f64)))) |
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y) |
(*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) |
(neg.f64 (+.f64 y (PI.f64))) |
(*.f64 (sin.f64 y) y) |
(PI.f64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) y) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) y))) |
(*.f64 (neg.f64 y) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) y)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(*.f64 y (/.f64 (sin.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y)))))) |
(/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) y) y) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 y) y))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) y) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) y) (sin.f64 y) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(fma.f64 (/.f64 (sin.f64 y) y) y (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) y)) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(fma.f64 (cos.f64 y) #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(fma.f64 (neg.f64 y) (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 y)) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) y) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(fma.f64 (*.f64 (sin.f64 y) y) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(fma.f64 y (/.f64 (sin.f64 y) y) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) y))) |
(sin.f64 y) |
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) y)))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) y))) |
(+.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))) (sin.f64 y)) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(+.f64 (sin.f64 y) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) x) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x y) y) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y)))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (/.f64 x y) (neg.f64 y))) |
(*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x (*.f64 y y))) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 y (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y))) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sin.f64 y) y)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 x)) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) (neg.f64 x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) y) (*.f64 y y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(neg.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) y) (*.f64 (neg.f64 y) y))) |
(neg.f64 (*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (/.f64 x y) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (/.f64 x y)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x y))) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) (*.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) y) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 #s(literal 1/6 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y)) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal 1/6 binary64) y) x)) |
(*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y) |
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(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))) |
(+.f64 (sinh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64)))) |
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) |
(log.f64 (exp.f64 (PI.f64))) |
(PI.f64) |
Compiled 11 087 to 1 937 computations (82.5% saved)
18 alts after pruning (8 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 482 | 5 | 487 |
| Fresh | 5 | 3 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 7 | 9 |
| Total | 491 | 18 | 509 |
| Status | Accuracy | Program |
|---|---|---|
| 62.6% | (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) | |
| ✓ | 56.0% | (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
| ✓ | 16.3% | (/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y) |
| ✓ | 87.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 3.8% | (/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) |
| ✓ | 42.2% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
| ✓ | 88.3% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 30.5% | (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(approx (* (sin y) y) (*.f64 y y)) y)) | |
| 88.2% | (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 99.3% | (*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))) |
| 54.3% | #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x) | |
| 15.2% | #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) | |
| 3.6% | #s(approx (/ (neg (* (sin y) x)) y) (neg.f64 x)) | |
| ✓ | 54.3% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
| 53.1% | #s(approx (* (/ x y) (sin y)) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x))) (*.f64 (*.f64 y y) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)))) | |
| 54.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) | |
| ✓ | 53.8% | #s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
Compiled 706 to 311 computations (55.9% saved)
| Inputs |
|---|
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x) |
#s(approx (/ (neg (* (sin y) x)) y) (neg.f64 x)) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) |
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(approx (* (sin y) y) (*.f64 y y)) y)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x))) (*.f64 (*.f64 y y) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (/.f64 (sin.f64 (-.f64 (neg.f64 y) (PI.f64))) y)) |
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) |
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))) |
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) y)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) y)) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 48.0ms | x |
| 8.0ms | y |
| 8.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 8.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (sin.f64 y) y) |
| 99.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x) |
#s(approx (/ (neg (* (sin y) x)) y) (neg.f64 x)) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) |
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(approx (* (sin y) y) (*.f64 y y)) y)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x))) (*.f64 (*.f64 y y) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)))) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) |
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
4 calls:
| 56.0ms | y |
| 9.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 5.0ms | x |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.2% | 2 | (/.f64 (sin.f64 y) y) |
| 65.9% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 54.3% | 1 | x |
| 66.2% | 2 | y |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x) |
#s(approx (/ (neg (* (sin y) x)) y) (neg.f64 x)) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) |
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(approx (* (sin y) y) (*.f64 y y)) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
2 calls:
| 5.0ms | y |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.2% | 2 | (/.f64 (sin.f64 y) y) |
| 66.1% | 2 | y |
Compiled 5 to 6 computations (-20% saved)
| Inputs |
|---|
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x) |
#s(approx (/ (neg (* (sin y) x)) y) (neg.f64 x)) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) |
| Outputs |
|---|
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x)) |
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
2 calls:
| 22.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 2 | y |
| 66.0% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 5 to 6 computations (-20% saved)
| Inputs |
|---|
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x) |
#s(approx (/ (neg (* (sin y) x)) y) (neg.f64 x)) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x) |
3 calls:
| 2.0ms | y |
| 2.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 65.7% | 2 | (/.f64 (sin.f64 y) y) |
| 65.6% | 2 | y |
Compiled 11 to 11 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
4 calls:
| 1.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.2% | 1 | x |
| 15.2% | 1 | y |
| 15.2% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 15.2% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 6408058675.955825 | 8905835190926.46 |
| 11.0ms | 128× | 0 | valid |
Compiled 297 to 226 computations (23.9% saved)
ival-sin: 5.0ms (68.7% of total)ival-div: 1.0ms (13.7% of total)ival-mult: 1.0ms (13.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.119854786952259e-36 | 2.0706554647941188e-32 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6408058675.955825 | 8905835190926.46 |
Compiled 217 to 186 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.665237047315738e-65 | 5.20049244598927e-56 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 154 |
| 1 | 63 | 148 |
| 2 | 82 | 136 |
| 3 | 113 | 136 |
| 4 | 196 | 136 |
| 5 | 436 | 136 |
| 6 | 1115 | 136 |
| 7 | 3338 | 136 |
| 8 | 7519 | 136 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) #s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x)) |
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))) |
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) #s(approx (* (/ x y) (sin y)) #s(literal 0 binary64))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) #s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (* (/ x y) (sin y)) #s(literal 0 binary64)) #s(approx (* (/ x y) (sin y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))) |
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x)) #s(approx (* (/ x y) (sin y)) #s(literal 0 binary64))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x)) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) #s(approx (* (/ x y) (sin y)) #s(literal 0 binary64)) #s(approx (* (/ x y) (sin y)) x)) |
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) |
#s(approx (* (/ x y) (sin y)) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 103 |
| 0 | 40 | 101 |
| 1 | 103 | 93 |
| 2 | 427 | 93 |
| 3 | 3329 | 93 |
| 0 | 9036 | 93 |
| 0 | 94 | 429 |
| 1 | 305 | 429 |
| 2 | 947 | 407 |
| 3 | 4050 | 397 |
| 0 | 8076 | 357 |
| 0 | 43 | 150 |
| 1 | 142 | 150 |
| 2 | 478 | 140 |
| 3 | 2043 | 138 |
| 4 | 4988 | 138 |
| 0 | 8032 | 124 |
| 0 | 156 | 502 |
| 1 | 528 | 493 |
| 2 | 2041 | 463 |
| 3 | 6013 | 463 |
| 0 | 8068 | 427 |
| 0 | 5 | 12 |
| 0 | 8 | 12 |
| 1 | 14 | 12 |
| 2 | 37 | 12 |
| 3 | 145 | 12 |
| 4 | 841 | 12 |
| 0 | 8404 | 12 |
| 0 | 31 | 156 |
| 0 | 53 | 125 |
| 1 | 170 | 119 |
| 2 | 1204 | 109 |
| 0 | 9799 | 109 |
| 1× | fuel |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 136 to 41 computations (69.9% saved)
(negabs x)
(abs y)
Compiled 356 to 152 computations (57.3% saved)
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