
Time bar (total: 8.1s)
| 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)
| 2.6s | 8 256× | 0 | valid |
ival-sin: 284.0ms (61.5% of total)ival-div: 106.0ms (22.9% of total)ival-mult: 60.0ms (13% of total)ival-true: 7.0ms (1.5% of total)ival-assert: 3.0ms (0.6% of total)adjust: 2.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 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 |
| 32.0ms | 512× | 0 | valid |
Compiled 38 to 19 computations (50% saved)
ival-sin: 11.0ms (56.9% of total)ival-div: 4.0ms (20.7% of total)ival-mult: 3.0ms (15.5% 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 | 0.09765625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 0.1171875 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 17.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sin: 7.0ms (67.3% of total)ival-div: 2.0ms (19.2% of total)ival-mult: 2.0ms (19.2% 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 |
|---|---|---|
| 62.0% | (/.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)) | |
| 70.6% | (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y)) | |
| ▶ | 86.8% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 88.8% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ▶ | 61.3% | (*.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))) |
| 49.5% | (*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y)) | |
| 51.7% | (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) y)) | |
| 48.5% | (*.f64 x (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 53.4% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 53.9% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 53.5% | #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)) | |
| ▶ | 53.4% | #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 390 to 277 computations (29% 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 | 0.1015625 | (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 | 0.1171875 | (*.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 | 29.9524439297104 | (/.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 | 0.1171875 | (*.f64 (sin.f64 y) x) | |
| accuracy | 8.414469797699885 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| accuracy | 0.046875 | (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 #s(literal 1/120 binary64) y) | |
| accuracy | 1.40091838610859 | (*.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 | 29.839877147648142 | #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 | 0.1171875 | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| accuracy | 29.71218986616218 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 7.138688104614388 | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 208.0ms | 256× | 0 | valid |
Compiled 176 to 32 computations (81.8% saved)
ival-sin: 33.0ms (44.2% of total)ival-mult: 17.0ms (22.8% of total)ival-div: 7.0ms (9.4% of total)const: 6.0ms (8% of total)ival-cos: 5.0ms (6.7% of total)ival-add: 4.0ms (5.4% of total)ival-neg: 1.0ms (1.3% 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) |
(*.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 (* -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)) |
(cos y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | 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) (* 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) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y)) |
| 2.0ms | 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) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y)) |
| 2.0ms | 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) (* 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) (* 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 | 93 | 409 |
| 1 | 303 | 409 |
| 2 | 935 | 387 |
| 3 | 3973 | 377 |
| 0 | 8227 | 345 |
| 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 (* -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)) |
(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 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(* 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 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (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 |
#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 (-.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)) |
(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 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #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 y x)) |
(* (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)) |
0 |
#s(literal 0 binary64) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(+ 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) |
(cos y) |
(cos.f64 y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 150 |
| 0 | 53 | 119 |
| 1 | 170 | 113 |
| 2 | 1204 | 103 |
| 0 | 9799 | 103 |
| 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) |
(*.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))) |
(+.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 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(sin.f64 (neg.f64 (+.f64 y (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 y (PI.f64)) (PI.f64))) |
(sin.f64 (fma.f64 #s(literal -1 binary64) y (PI.f64))) |
(sin.f64 y) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
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(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))) |
(+.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 14 357 to 1 973 computations (86.3% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 646 | 7 | 653 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 651 | 15 | 666 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.3% | (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) |
| 73.5% | (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x) y) | |
| ✓ | 86.8% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 40.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
| ✓ | 88.8% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ▶ | 86.6% | (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 59.6% | (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
| 71.0% | (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y)) | |
| 51.7% | (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 53.4% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 53.9% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 53.4% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
| 53.5% | #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)) | |
| ✓ | 53.4% | #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 306 to 224 computations (26.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (sin.f64 y) y) x) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) | |
| cost-diff | 4 | (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (sin.f64 y)) | |
| cost-diff | 3 | (/.f64 y (*.f64 (neg.f64 y) y)) | |
| cost-diff | 3 | (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) 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 (sin.f64 y) x) | |
| cost-diff | 2 | (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 144 |
| 0 | 50 | 134 |
| 1 | 88 | 128 |
| 2 | 238 | 125 |
| 3 | 909 | 125 |
| 4 | 3032 | 125 |
| 5 | 4649 | 125 |
| 6 | 5910 | 125 |
| 7 | 6718 | 125 |
| 0 | 8107 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
#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 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
x |
(sin.f64 y) |
y |
(/.f64 y (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
x |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(/.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) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
#s(approx (* (sin y) x) (*.f64 y x)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
x |
(sin.f64 y) |
y |
(/.f64 y (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) |
(*.f64 x (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f64 (sin.f64 y) y) | |
| accuracy | 3.625806535617717 | (*.f64 (*.f64 (sin.f64 y) y) x) | |
| accuracy | 8.414469797699885 | (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) | |
| accuracy | 14.110586501852605 | (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.1171875 | (*.f64 (neg.f64 x) (sin.f64 y)) | |
| accuracy | 8.547282297699887 | (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y))) | |
| accuracy | 29.725035123402392 | (/.f64 y (*.f64 (neg.f64 y) y)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 8.414469797699885 | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) | |
| accuracy | 29.757781923755683 | #s(approx (* (sin y) x) (*.f64 y x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| accuracy | 7.133154343073757 | (*.f64 (*.f64 y y) x) | |
| accuracy | 29.80100091468487 | #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 | 0.1171875 | (*.f64 (sin.f64 y) x) | |
| accuracy | 8.547282297699887 | (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
| 68.0ms | 256× | 0 | valid |
Compiled 130 to 28 computations (78.5% saved)
ival-sin: 18.0ms (34.2% of total)ival-mult: 17.0ms (32.3% of total)ival-div: 10.0ms (19% of total)const: 4.0ms (7.6% of total)ival-neg: 2.0ms (3.8% of total)ival-add: 1.0ms (1.9% 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 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (sin.f64 y) x) |
(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 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
(/.f64 y (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (pow y 2)) |
(* x y) |
(* -1 (* x (sin y))) |
(* -1 x) |
(* x (* y (sin y))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
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 (+ 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))))))) |
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) |
(/ -1 y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2))))) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))) |
(* (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) |
(* -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 | |
|---|---|---|---|---|
| 38.0ms | y | @ | -inf | ((* (* (sin y) x) (/ 1 y)) (* (sin y) x) (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) (* (* (neg x) (sin y)) (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* (neg x) (sin y)) (neg x) (/ (* (* (sin y) y) x) y) (/ (/ (* (* (sin y) y) x) y) y) (* (* (sin y) y) x) (* (sin y) y)) |
| 30.0ms | x | @ | inf | ((* (* (sin y) x) (/ 1 y)) (* (sin y) x) (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) (* (* (neg x) (sin y)) (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* (neg x) (sin y)) (neg x) (/ (* (* (sin y) y) x) y) (/ (/ (* (* (sin y) y) x) y) y) (* (* (sin y) y) x) (* (sin y) y)) |
| 5.0ms | x | @ | -inf | ((* (* (sin y) x) (/ 1 y)) (* (sin y) x) (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) (* (* (neg x) (sin y)) (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* (neg x) (sin y)) (neg x) (/ (* (* (sin y) y) x) y) (/ (/ (* (* (sin y) y) x) y) y) (* (* (sin y) y) x) (* (sin y) y)) |
| 4.0ms | y | @ | inf | ((* (* (sin y) x) (/ 1 y)) (* (sin y) x) (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) (* (* (neg x) (sin y)) (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* (neg x) (sin y)) (neg x) (/ (* (* (sin y) y) x) y) (/ (/ (* (* (sin y) y) x) y) y) (* (* (sin y) y) x) (* (sin y) y)) |
| 3.0ms | y | @ | 0 | ((* (* (sin y) x) (/ 1 y)) (* (sin y) x) (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) (* (* (neg x) (sin y)) (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* (neg x) (sin y)) (neg x) (/ (* (* (sin y) y) x) y) (/ (/ (* (* (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 | 87 | 413 |
| 1 | 328 | 410 |
| 2 | 1167 | 382 |
| 3 | 3435 | 382 |
| 4 | 6991 | 382 |
| 0 | 8355 | 348 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (pow y 2)) |
(* x y) |
(* -1 (* x (sin y))) |
(* -1 x) |
(* x (* y (sin y))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
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 (+ 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))))))) |
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) |
(/ -1 y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2))))) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))) |
(* (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) |
(* -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 (sin y)) |
(*.f64 (sin.f64 y) x) |
(* 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 y) |
(*.f64 x y) |
(* -1 (* x (sin y))) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(* -1 x) |
(neg.f64 x) |
(* x (* y (sin y))) |
(*.f64 (*.f64 (sin.f64 y) 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) |
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)) |
(* 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)) |
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) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))) |
(*.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) |
(* (pow y 2) (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y) y) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.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) (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 (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)) (*.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) |
(* -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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 122 |
| 0 | 50 | 112 |
| 1 | 117 | 106 |
| 2 | 482 | 103 |
| 0 | 3601 | 103 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (sin.f64 y) x) |
(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 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
(/.f64 y (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) y) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) x) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (sin.f64 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 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (/.f64 x y) (neg.f64 y))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 x y) (*.f64 (neg.f64 y) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) 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) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 y y))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) (sin.f64 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)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 x (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 y (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) y))) |
(*.f64 y (/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) y)) |
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))) |
(*.f64 y (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (*.f64 x y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) y) |
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 y)) y) |
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) y) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) x) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (sin.f64 y)) |
(*.f64 (*.f64 y (pow.f64 y #s(literal -1 binary64))) (*.f64 x (sin.f64 y))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) y)) (/.f64 x y)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x y)) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) y) |
(*.f64 (/.f64 x y) (*.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (sin.f64 y) x) |
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)) (neg.f64 y)) |
(neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(*.f64 y (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) y) y) |
(sin.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)))) |
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(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 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))) (neg.f64 y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
(neg.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (neg.f64 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) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) x) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (sin.f64 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 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (/.f64 x y) (neg.f64 y))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 x y) (*.f64 (neg.f64 y) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) 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) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 y y))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) (sin.f64 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)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 x (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 y (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) y))) |
(*.f64 y (/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) y)) |
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))) |
(*.f64 y (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (*.f64 x y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) y) |
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 y)) y) |
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) y) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (neg.f64 y) (*.f64 y y)) |
(/.f64 y (*.f64 (neg.f64 y) y)) |
(neg.f64 (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (*.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 x y)) |
(*.f64 (neg.f64 (sin.f64 y)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 x y) (*.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 x)) |
(*.f64 y (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)) y) |
(neg.f64 (*.f64 x (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 y (/.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (neg.f64 y) x) y) |
(/.f64 (*.f64 x y) (neg.f64 y)) |
(neg.f64 x) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) x) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (sin.f64 y)) |
(*.f64 (*.f64 y (pow.f64 y #s(literal -1 binary64))) (*.f64 x (sin.f64 y))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) y)) (/.f64 x y)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x y)) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) y) |
(*.f64 (/.f64 x y) (*.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (sin.f64 y) x) |
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)) (neg.f64 y)) |
(neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) x) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (sin.f64 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 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (/.f64 x y) (neg.f64 y))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 x y) (*.f64 (neg.f64 y) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) 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) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 y y))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) (sin.f64 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)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 x (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 y (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) y))) |
(*.f64 y (/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) y)) |
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))) |
(*.f64 y (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (*.f64 x y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) y) |
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 y)) y) |
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) y) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y))) x) |
(*.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (sin.f64 y)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) y)) x) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (*.f64 x y)) |
(*.f64 (*.f64 (neg.f64 y) x) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x)) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) y) x)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 x y) (sin.f64 y)) |
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x (sin.f64 y)) y) |
(*.f64 x (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))) |
(*.f64 x (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) y))) |
(*.f64 x (*.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (*.f64 (neg.f64 x) (neg.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 (*.f64 (neg.f64 y) x))) |
(*.f64 (sin.f64 y) (*.f64 x y)) |
(*.f64 y (*.f64 x (sin.f64 y))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y))) |
(*.f64 (sin.f64 y) y) |
(*.f64 y (sin.f64 y)) |
Compiled 7 186 to 956 computations (86.7% saved)
21 alts after pruning (13 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 302 | 10 | 312 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 306 | 21 | 327 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 58.3% | (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y) |
| 73.5% | (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x) y) | |
| ✓ | 86.8% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 40.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
| ✓ | 88.8% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ▶ | 88.7% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y))) |
| ✓ | 86.6% | (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
| 40.3% | (*.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) y)) | |
| 26.3% | (*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (/.f64 y (*.f64 (neg.f64 y) y))) | |
| 36.4% | (*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 y) y))) | |
| ▶ | 52.3% | (*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))) |
| 51.7% | (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 53.9% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 53.4% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
| 53.4% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) | |
| 53.4% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) | |
| 28.4% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x)) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)))) | |
| ▶ | 2.8% | #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)))) |
| ▶ | 53.5% | #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)) |
| ✓ | 53.4% | #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 556 to 369 computations (33.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)) | |
| cost-diff | 4 | (*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y 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) (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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) 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 | (neg.f64 (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 1 | (*.f64 (/.f64 #s(literal -1 binary64) y) x) | |
| cost-diff | 2 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 228 |
| 0 | 60 | 225 |
| 1 | 122 | 222 |
| 2 | 383 | 222 |
| 3 | 1626 | 218 |
| 4 | 4873 | 218 |
| 0 | 8538 | 218 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
x |
(neg.f64 (sin.f64 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 x y) y) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
x |
y |
#s(literal -1/6 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)) |
(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) |
(*.f64 (*.f64 y y) x) |
(*.f64 y 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)) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))) |
y |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 (neg.f64 x) y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
x |
(neg.f64 (sin.f64 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 x y) y) #s(literal -1/6 binary64) 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 x y) y) #s(literal -1/6 binary64) x) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 x y) |
x |
y |
#s(literal -1/6 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 (* (/ x y) (sin y)) (fma.f64 (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)) (*.f64 (*.f64 y y) x) 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) |
(fma.f64 (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)) (*.f64 (*.f64 y y) x) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y 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)) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
y |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
(*.f64 y y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.1171875 | (*.f64 x (sin.f64 y)) | |
| accuracy | 13.745930495783632 | (*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))) | |
| accuracy | 16.27494225253835 | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)) | |
| accuracy | 0.08984375 | (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) | |
| accuracy | 0.2748642295147259 | (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 7.133154343073757 | (*.f64 (*.f64 y y) x) | |
| accuracy | 29.766646102525414 | #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)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) | |
| accuracy | 0.16015625 | (*.f64 (*.f64 x y) y) | |
| accuracy | 29.80100091468487 | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) | |
| accuracy | 0.15625 | (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) | |
| accuracy | 7.133154343073757 | (*.f64 (*.f64 y y) x) | |
| accuracy | 29.80100091468487 | #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 | 32.9022468555979 | #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (neg.f64 (sin.f64 y)) | |
| accuracy | 0.1875 | (*.f64 (/.f64 #s(literal -1 binary64) y) x) | |
| accuracy | 7.138688104614388 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y))) |
| 112.0ms | 256× | 0 | valid |
Compiled 184 to 35 computations (81% saved)
ival-mult: 41.0ms (44% of total)ival-sin: 19.0ms (20.4% of total)const: 12.0ms (12.9% of total)ival-add: 11.0ms (11.8% of total)ival-div: 8.0ms (8.6% of total)ival-neg: 1.0ms (1.1% 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 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 (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) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 x 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)) |
(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) |
(*.f64 y y) |
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(* -1 (/ x y)) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* x (pow y 2)) |
(* x y) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (* x (sin y)) (pow y 2)) |
(* x (sin y)) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
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 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(pow y 2) |
(/ 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)))))) 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))))))) |
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)))) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(* 1/120 y) |
(* y (+ 1/120 (* -1/5040 (pow y 2)))) |
(* -1 (sin y)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(sin y) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* -1/5040 (pow y 3)) |
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | ((* (* (/ -1 y) x) (neg (sin y))) (* (/ -1 y) x) (/ -1 y) (neg (sin y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (* y (/ (* x (sin y)) (* y y))) (/ (* x (sin y)) (* y y)) (* x (sin y)) (sin y) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y)) |
| 4.0ms | x | @ | -inf | ((* (* (/ -1 y) x) (neg (sin y))) (* (/ -1 y) x) (/ -1 y) (neg (sin y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (* y (/ (* x (sin y)) (* y y))) (/ (* x (sin y)) (* y y)) (* x (sin y)) (sin y) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y)) |
| 4.0ms | x | @ | 0 | ((* (* (/ -1 y) x) (neg (sin y))) (* (/ -1 y) x) (/ -1 y) (neg (sin y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (* y (/ (* x (sin y)) (* y y))) (/ (* x (sin y)) (* y y)) (* x (sin y)) (sin y) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y)) |
| 3.0ms | x | @ | inf | ((* (* (/ -1 y) x) (neg (sin y))) (* (/ -1 y) x) (/ -1 y) (neg (sin y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (* y (/ (* x (sin y)) (* y y))) (/ (* x (sin y)) (* y y)) (* x (sin y)) (sin y) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y)) |
| 3.0ms | y | @ | -inf | ((* (* (/ -1 y) x) (neg (sin y))) (* (/ -1 y) x) (/ -1 y) (neg (sin y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (* y (/ (* x (sin y)) (* y y))) (/ (* x (sin y)) (* y y)) (* x (sin y)) (sin y) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 520 |
| 1 | 361 | 514 |
| 2 | 1143 | 496 |
| 3 | 5112 | 486 |
| 0 | 8085 | 454 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(* -1 (/ x y)) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* x (pow y 2)) |
(* x y) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (* x (sin y)) (pow y 2)) |
(* x (sin y)) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
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 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(pow y 2) |
(/ 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)))))) 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))))))) |
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)))) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(* 1/120 y) |
(* y (+ 1/120 (* -1/5040 (pow y 2)))) |
(* -1 (sin y)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(sin y) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* -1/5040 (pow y 3)) |
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 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) |
(* x y) |
(*.f64 x y) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(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) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(* x (sin y)) |
(*.f64 (sin.f64 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 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (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)))) #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) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(pow y 2) |
(*.f64 y y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1/6 (* x (pow y 2)))) y) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y) |
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y) |
(/.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) |
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y) |
(/.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) 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)) |
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) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* y (+ 1/120 (* -1/5040 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) y) y) |
(* -1/5040 (* x (pow y 6))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal -1/5040 binary64)) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(*.f64 (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(*.f64 (fma.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64))) |
(sin y) |
(sin.f64 y) |
(* -1/5040 (pow y 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) y) y) |
(* -1/5040 (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64)) |
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) |
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/5040 binary64)) (pow.f64 y #s(literal 3 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 188 |
| 0 | 60 | 186 |
| 1 | 196 | 182 |
| 2 | 1111 | 182 |
| 0 | 8200 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 (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) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 x 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)) |
(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) |
(*.f64 y y) |
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
| Outputs |
|---|
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) x) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x))) y) |
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (sin.f64 y)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (sin.f64 y)) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) y)) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) (sin.f64 y)))) |
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))) |
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (/.f64 (neg.f64 x) y))) |
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (cos.f64 y) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (/.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (sin.f64 y) #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (cos.f64 y) #s(literal 0 binary64)))) |
(*.f64 x (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (neg.f64 y)) |
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (neg.f64 y)) |
(neg.f64 (*.f64 x (pow.f64 y #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x)) |
(neg.f64 (/.f64 x y)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64))) |
(pow.f64 (neg.f64 y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (fma.f64 (cos.f64 y) #s(literal 0 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (sin.f64 y) #s(literal -1 binary64))) (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64)))) (-.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64)) (fma.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (sin.f64 y) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64)))))) |
(neg.f64 (sin.f64 y)) |
(fma.f64 (cos.f64 y) #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal -1 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 y)) |
(sin.f64 (+.f64 (PI.f64) y)) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(-.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (cos.f64 y) #s(literal 0 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 #s(literal -1/6 binary64) (*.f64 x y)) y) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y))) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 y (*.f64 x (*.f64 #s(literal -1/6 binary64) y))) |
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
(*.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x))) |
(neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) |
(*.f64 (*.f64 (neg.f64 x) y) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(neg.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x)) |
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) y) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) |
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) |
(/.f64 (*.f64 y (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) y (*.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) y)) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y (*.f64 #s(literal 1/120 binary64) y)) |
(fma.f64 #s(literal 1/120 binary64) y (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y)) |
(fma.f64 y (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) (*.f64 y (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))) |
(fma.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64))) |
(fma.f64 y #s(literal 1/120 binary64) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y) (*.f64 #s(literal -1/120 binary64) y)) |
(-.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) y)) |
(-.f64 (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 (neg.f64 y) #s(literal 1/120 binary64))) |
(-.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) y) (*.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) y)) |
(+.f64 (*.f64 y (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))) (*.f64 y (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y) (*.f64 #s(literal 1/120 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y)) |
(+.f64 (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y #s(literal 1/120 binary64))) |
(+.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) |
Compiled 15 869 to 1 872 computations (88.2% saved)
26 alts after pruning (17 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 498 | 10 | 508 |
| Fresh | 1 | 7 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 7 | 8 |
| Total | 503 | 26 | 529 |
| Status | Accuracy | Program |
|---|---|---|
| 73.5% | (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x) y) | |
| ✓ | 86.8% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 40.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
| ✓ | 88.8% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 88.7% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y))) |
| 42.5% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) | |
| 53.4% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (neg.f64 y))) | |
| ✓ | 86.6% | (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
| 40.3% | (*.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) y)) | |
| 26.3% | (*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (/.f64 y (*.f64 (neg.f64 y) y))) | |
| 36.4% | (*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 y) y))) | |
| 47.4% | (*.f64 y (*.f64 (sin.f64 y) (/.f64 x (*.f64 y y)))) | |
| 42.4% | (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y))) | |
| 53.5% | (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))) | |
| 51.7% | (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 53.9% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 53.4% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) | |
| 53.4% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) | |
| 28.4% | #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x)) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)))) | |
| 2.8% | #s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)))) | |
| 2.8% | #s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)))) | |
| 2.8% | #s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y))))) | |
| 53.5% | #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x))) | |
| ✓ | 53.5% | #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)) |
| ✓ | 53.4% | #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 1 095 to 477 computations (56.4% saved)
| Inputs |
|---|
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y))))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 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 (*.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 x y) y) #s(literal -1/6 binary64) x)) |
#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 (*.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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (neg.f64 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 #s(approx (* (neg x) (sin y)) (*.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y))) |
(*.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) 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)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x))) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x)) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.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 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 x (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y))) |
(*.f64 y (*.f64 (sin.f64 y) (/.f64 x (*.f64 y y)))) |
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x) 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:
| 39.0ms | y |
| 35.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 11.0ms | x |
| 10.0ms | (/.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 |
|---|
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y))))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 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 (*.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 x y) y) #s(literal -1/6 binary64) x)) |
#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 (*.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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (neg.f64 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 #s(approx (* (neg x) (sin y)) (*.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y))) |
(*.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) 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)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x))) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x)) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)))) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x))) |
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))) |
4 calls:
| 14.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 7.0ms | y |
| 6.0ms | x |
| 6.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.1% | 2 | (/.f64 (sin.f64 y) y) |
| 64.9% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 64.9% | 2 | x |
| 65.2% | 2 | y |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y))))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 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 (*.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 x y) y) #s(literal -1/6 binary64) x)) |
#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 (*.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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (neg.f64 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 #s(approx (* (neg x) (sin y)) (*.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y))) |
(*.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) 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)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
| 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)) |
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))) |
1 calls:
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.2% | 2 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y))))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 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 (*.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 x y) y) #s(literal -1/6 binary64) x)) |
#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 (*.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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (neg.f64 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 #s(approx (* (neg x) (sin y)) (*.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 y) y))) |
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y))) |
(*.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
#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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))) |
2 calls:
| 5.0ms | y |
| 5.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.0% | 2 | (/.f64 (sin.f64 y) y) |
| 65.0% | 2 | y |
Compiled 5 to 6 computations (-20% saved)
| Inputs |
|---|
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y))))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 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 (*.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 x y) y) #s(literal -1/6 binary64) x)) |
#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 (*.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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))) |
2 calls:
| 4.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 2 | (/.f64 (sin.f64 y) y) |
| 64.9% | 2 | y |
Compiled 5 to 6 computations (-20% saved)
Total -33.0b remaining (-112%)
Threshold costs -33b (-112%)
| Inputs |
|---|
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y))))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)))) |
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 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 (*.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 x y) y) #s(literal -1/6 binary64) x)) |
#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 (*.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)))) |
| Outputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
4 calls:
| 33.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 1 | x |
| 53.9% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 53.9% | 1 | (/.f64 (sin.f64 y) y) |
| 53.9% | 1 | y |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 58.0ms | 34775852.997229494 | 108622371.37954053 |
| 6.0ms | 80× | 0 | valid |
Compiled 234 to 150 computations (35.9% saved)
ival-sin: 3.0ms (70.7% of total)ival-div: 1.0ms (23.6% of total)ival-mult: 1.0ms (23.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 34775852.997229494 | 108622371.37954053 |
Compiled 204 to 140 computations (31.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 0.44122943005316695 | 123385.41852784628 |
| 28.0ms | 144× | 0 | valid |
Compiled 315 to 235 computations (25.4% saved)
ival-sin: 14.0ms (57.8% of total)ival-div: 9.0ms (37.2% of total)ival-mult: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 34775852.997229494 | 108622371.37954053 |
Compiled 154 to 115 computations (25.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 177 |
| 1 | 67 | 177 |
| 2 | 101 | 177 |
| 3 | 166 | 177 |
| 4 | 246 | 177 |
| 5 | 336 | 177 |
| 6 | 404 | 177 |
| 7 | 507 | 177 |
| 8 | 823 | 177 |
| 9 | 1684 | 177 |
| 10 | 3689 | 177 |
| 11 | 7497 | 177 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(if (<=.f64 y #s(literal 58000000 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x))) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))) |
(if (<=.f64 y #s(literal 58000000 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)) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))) |
(if (<=.f64 y #s(literal 9/2 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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))) |
(if (<=.f64 y #s(literal 58000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(if (<=.f64 y #s(literal 58000000 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x))) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))) |
(if (<=.f64 y #s(literal 58000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x))) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))) |
(if (<=.f64 y #s(literal 58000000 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)) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))) |
(if (<=.f64 y #s(literal 58000000 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)) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))) |
(if (<=.f64 y #s(literal 9/2 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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))) |
(if (<=.f64 y #s(literal 9/2 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)))) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))) |
(if (<=.f64 y #s(literal 58000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
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 |
| 0 | 37 | 188 |
| 0 | 60 | 186 |
| 1 | 196 | 182 |
| 2 | 1111 | 182 |
| 0 | 8200 | 182 |
| 0 | 43 | 150 |
| 1 | 142 | 150 |
| 2 | 478 | 140 |
| 3 | 2043 | 138 |
| 4 | 4988 | 138 |
| 0 | 8032 | 124 |
| 0 | 116 | 520 |
| 1 | 361 | 514 |
| 2 | 1143 | 496 |
| 3 | 5112 | 486 |
| 0 | 8085 | 454 |
| 0 | 29 | 122 |
| 0 | 50 | 112 |
| 1 | 117 | 106 |
| 2 | 482 | 103 |
| 0 | 3601 | 103 |
| 0 | 31 | 150 |
| 0 | 53 | 119 |
| 1 | 170 | 113 |
| 2 | 1204 | 103 |
| 0 | 9799 | 103 |
| 0 | 93 | 409 |
| 1 | 303 | 409 |
| 2 | 935 | 387 |
| 3 | 3973 | 377 |
| 0 | 8227 | 345 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 177 to 51 computations (71.2% saved)
(negabs x)
(abs y)
Compiled 414 to 152 computations (63.3% saved)
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