
Time bar (total: 5.5s)
| 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)
| 596.0ms | 8 256× | 0 | valid |
ival-sin: 238.0ms (63.6% of total)ival-div: 69.0ms (18.4% of total)ival-mult: 58.0ms (15.5% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 4.0ms (1.1% 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 |
| 34.0ms | 512× | 0 | valid |
Compiled 38 to 19 computations (50% saved)
ival-sin: 12.0ms (58.3% of total)ival-div: 4.0ms (19.4% of total)ival-mult: 4.0ms (19.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 36 |
| 1 | 46 | 32 |
| 2 | 122 | 32 |
| 3 | 323 | 32 |
| 4 | 1115 | 32 |
| 5 | 1847 | 32 |
| 6 | 1940 | 32 |
| 7 | 1974 | 32 |
| 8 | 2002 | 32 |
| 9 | 2014 | 32 |
| 10 | 2014 | 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× | saturated |
| 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 | 0.08203125 | (/.f64 (sin.f64 y) y) | |
| accuracy | 0.11328125 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 18.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sin: 6.0ms (55.5% of total)ival-div: 3.0ms (27.7% of total)ival-mult: 2.0ms (18.5% of total)ival-true: 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 | 118 | 150 |
| 2 | 310 | 140 |
| 3 | 908 | 138 |
| 4 | 1439 | 138 |
| 5 | 2228 | 138 |
| 6 | 3353 | 138 |
| 7 | 3636 | 138 |
| 8 | 4364 | 138 |
| 9 | 6802 | 138 |
| 0 | 8471 | 120 |
| 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 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) 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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(/ (sin y) 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 | 19 | 12 |
| 2 | 72 | 12 |
| 3 | 336 | 12 |
| 0 | 1807 | 12 |
| 1× | iter limit |
| 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 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 x) y)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y))) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 y (sin.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 y (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y)) |
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(neg.f64 (sin.f64 (neg.f64 y))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(fma.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(sin.f64 y) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (sin.f64 y)) |
(+.f64 (sin.f64 y) #s(literal 0 binary64)) |
Compiled 1 933 to 449 computations (76.8% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 156 | 10 | 166 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 156 | 11 | 167 |
| Status | Accuracy | Program |
|---|---|---|
| 87.6% | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| ▶ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 88.1% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) (neg.f64 (sin.f64 y)))) | |
| 87.1% | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x))) | |
| 28.8% | (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) | |
| ▶ | 87.5% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ▶ | 87.4% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
| ▶ | 99.7% | (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 52.0% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 52.2% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
Compiled 192 to 155 computations (19.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) | |
| cost-diff | 4 | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 3 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| 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 y (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 x (/.f64 y (sin.f64 y))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 97 |
| 0 | 33 | 90 |
| 1 | 55 | 90 |
| 2 | 112 | 88 |
| 3 | 265 | 86 |
| 4 | 537 | 86 |
| 5 | 1094 | 86 |
| 6 | 1499 | 86 |
| 7 | 1566 | 86 |
| 8 | 1624 | 86 |
| 9 | 1629 | 86 |
| 10 | 1632 | 86 |
| 11 | 1633 | 86 |
| 0 | 1633 | 86 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
x |
(/.f64 y (sin.f64 y)) |
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) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
x |
(sin.f64 y) |
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
x |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
x |
(/.f64 y (sin.f64 y)) |
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) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
x |
(sin.f64 y) |
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
x |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (sin.f64 y) y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(sin.f64 y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.09765625 | (/.f64 #s(literal -1 binary64) (sin.f64 y)) | |
| accuracy | 0.11328125 | (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) | |
| accuracy | 0.232753759768442 | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.12890625 | (*.f64 (neg.f64 x) (sin.f64 y)) | |
| accuracy | 8.021680698448774 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 7.976613970858083 | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| accuracy | 0.11328125 | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| accuracy | 30.768991225376062 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.109375 | (/.f64 y (sin.f64 y)) | |
| accuracy | 0.1171875 | (/.f64 x (/.f64 y (sin.f64 y))) |
| 82.0ms | 256× | 0 | valid |
Compiled 95 to 20 computations (78.9% saved)
ival-sin: 45.0ms (69.2% of total)ival-div: 11.0ms (16.9% of total)ival-mult: 7.0ms (10.8% of total)ival-neg: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/ x y) |
(* -1 (* x (sin y))) |
(* -1 x) |
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) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ -1 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))))))))) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) |
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y) |
(/ y (sin y)) |
(sin y) |
(/ (sin y) y) |
(/ -1 (sin y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ (/ -1 y) (/ -1 (sin y))) (* x (/ (/ -1 y) (/ -1 (sin y)))) (/ -1 (sin y))) |
| 2.0ms | y | @ | inf | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ (/ -1 y) (/ -1 (sin y))) (* x (/ (/ -1 y) (/ -1 (sin y)))) (/ -1 (sin y))) |
| 2.0ms | y | @ | -inf | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ (/ -1 y) (/ -1 (sin y))) (* x (/ (/ -1 y) (/ -1 (sin y)))) (/ -1 (sin y))) |
| 2.0ms | x | @ | inf | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ (/ -1 y) (/ -1 (sin y))) (* x (/ (/ -1 y) (/ -1 (sin y)))) (/ -1 (sin y))) |
| 1.0ms | x | @ | -inf | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ (/ -1 y) (/ -1 (sin y))) (* x (/ (/ -1 y) (/ -1 (sin y)))) (/ -1 (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 319 |
| 1 | 283 | 316 |
| 2 | 790 | 302 |
| 3 | 2420 | 290 |
| 4 | 4256 | 290 |
| 5 | 7618 | 290 |
| 0 | 8151 | 256 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(/ x y) |
(* -1 (* x (sin y))) |
(* -1 x) |
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) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ -1 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))))))))) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) |
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y) |
(/ y (sin y)) |
(sin y) |
(/ (sin y) y) |
(/ -1 (sin y)) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.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 |
(+ 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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #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 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/ -1 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 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x)) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) |
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) |
(fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y (/.f64 #s(literal -1 binary64) y)) |
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 y y) #s(literal -7/360 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y (/.f64 #s(literal -1 binary64) y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(sin y) |
(sin.f64 y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 76 |
| 0 | 33 | 69 |
| 1 | 90 | 65 |
| 2 | 434 | 65 |
| 3 | 2072 | 64 |
| 4 | 7351 | 64 |
| 0 | 8474 | 64 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y)))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 y x))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (sin.f64 y)))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) x))) |
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 y (sin.f64 y)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y))))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (/.f64 x y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (*.f64 (/.f64 (/.f64 y x) (sin.f64 y)) (/.f64 (/.f64 y x) (sin.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -2 binary64)))) x) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y))) y) |
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x) x) |
(/.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 (sin.f64 y) (*.f64 y (pow.f64 x #s(literal -2 binary64)))) x) |
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -2 binary64)))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/.f64 (/.f64 x (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) x) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x)) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (/.f64 x y))) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (/.f64 y (sin.f64 y)) x)) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 x x) (*.f64 (/.f64 y (sin.f64 y)) x)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y)))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (neg.f64 x) (/.f64 y (sin.f64 y))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64)) (*.f64 (/.f64 y (sin.f64 y)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x y))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 y x)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) #s(literal 0 binary64)) |
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(/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (pow.f64 (sin.f64 y) #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (sin.f64 y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal -2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 y)))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 0 binary64)) |
Compiled 13 470 to 2 331 computations (82.7% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 967 | 8 | 975 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 971 | 15 | 986 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.6% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 88.5% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| ▶ | 62.6% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| 62.7% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 88.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) | |
| 30.8% | (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) y)) (sin.f64 y)) | |
| ✓ | 87.5% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 87.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y)) | |
| ✓ | 87.4% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
| ▶ | 51.0% | (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y)) |
| 62.7% | (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 52.0% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
| ✓ | 52.2% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
Compiled 261 to 202 computations (22.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y)) | |
| cost-diff | 6 | (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) | |
| 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 | (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (/.f64 y x)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 160 |
| 0 | 47 | 154 |
| 1 | 77 | 152 |
| 2 | 139 | 152 |
| 3 | 336 | 148 |
| 4 | 640 | 148 |
| 5 | 878 | 148 |
| 6 | 2534 | 148 |
| 7 | 2739 | 148 |
| 8 | 3103 | 148 |
| 9 | 3532 | 148 |
| 10 | 4018 | 148 |
| 11 | 4678 | 148 |
| 12 | 4968 | 148 |
| 13 | 5147 | 148 |
| 14 | 5270 | 148 |
| 15 | 5396 | 148 |
| 16 | 5522 | 148 |
| 17 | 6444 | 148 |
| 18 | 7818 | 148 |
| 0 | 8009 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (/.f64 y x)) |
(sin.f64 y) |
y |
(/.f64 y x) |
x |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
x |
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 7/360 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 y x) |
y |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(sin.f64 y) |
y |
(/.f64 y x) |
x |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
x |
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 7/360 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 x y) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
#s(literal 1 binary64) |
(*.f64 y x) |
(*.f64 x y) |
y |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.614080452678322 | (/.f64 #s(literal 1 binary64) (*.f64 y x)) | |
| accuracy | 7.976613970858083 | (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y)) | |
| accuracy | 22.551488457891285 | (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.12890625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 7.908399448448774 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.1171875 | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 0.3023217206143187 | (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 30.656212273507663 | #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.11328125 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.11328125 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 30.80376128462273 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 7.366655958294956 | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 210.0ms | 256× | 0 | valid |
Compiled 128 to 29 computations (77.3% saved)
const: 59.0ms (37.2% of total)ival-mult: 56.0ms (35.3% of total)ival-div: 33.0ms (20.8% of total)ival-sin: 6.0ms (3.8% of total)ival-add: 3.0ms (1.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (sin.f64 y) (/.f64 y x)) |
(sin.f64 y) |
(/.f64 y x) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/ y x) |
(* x (sin y)) |
(/ x y) |
(pow x 2) |
(/ 1 (* x 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) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
1/6 |
(+ 1/6 (* 7/360 (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))))))) |
(sin y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ y (sin y)) |
(* 7/360 (pow y 4)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 7/360 (pow y 2)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | 0 | ((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (* (* x x) (/ 1 (* y x))) (* (* (* x x) (/ 1 (* y x))) (sin y)) (* x x) (/ 1 (* y x))) |
| 3.0ms | y | @ | -inf | ((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (* (* x x) (/ 1 (* y x))) (* (* (* x x) (/ 1 (* y x))) (sin y)) (* x x) (/ 1 (* y x))) |
| 2.0ms | x | @ | -inf | ((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (* (* x x) (/ 1 (* y x))) (* (* (* x x) (/ 1 (* y x))) (sin y)) (* x x) (/ 1 (* y x))) |
| 2.0ms | y | @ | inf | ((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (* (* x x) (/ 1 (* y x))) (* (* (* x x) (/ 1 (* y x))) (sin y)) (* x x) (/ 1 (* y x))) |
| 2.0ms | y | @ | 0 | ((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (* (* x x) (/ 1 (* y x))) (* (* (* x x) (/ 1 (* y x))) (sin y)) (* x x) (/ 1 (* y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 335 |
| 1 | 233 | 335 |
| 2 | 603 | 321 |
| 3 | 1745 | 315 |
| 4 | 2809 | 315 |
| 5 | 4984 | 315 |
| 6 | 6151 | 315 |
| 7 | 7586 | 315 |
| 0 | 8158 | 279 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(/ y x) |
(* x (sin y)) |
(/ x y) |
(pow x 2) |
(/ 1 (* x 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) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
1/6 |
(+ 1/6 (* 7/360 (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))))))) |
(sin y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ y (sin y)) |
(* 7/360 (pow y 4)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 7/360 (pow y 2)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ y x) |
(/.f64 y x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ x y) |
(/.f64 x y) |
(pow x 2) |
(*.f64 x x) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
1 |
#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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 7/360 (pow y 2))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(* x y) |
(*.f64 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 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)) |
(sin y) |
(sin.f64 y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(* 7/360 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* 7/360 (pow y 2)) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 134 |
| 0 | 47 | 126 |
| 1 | 157 | 126 |
| 2 | 848 | 122 |
| 3 | 7087 | 122 |
| 0 | 8302 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (/.f64 y x)) |
(sin.f64 y) |
(/.f64 y x) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 y #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) |
(*.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 x y) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) x) (*.f64 (/.f64 x y) x)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x)) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 x y) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 x y) x) (/.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) x) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) x) (*.f64 x x)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 x y) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (*.f64 (*.f64 x (sin.f64 y)) x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x)) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x)) |
(*.f64 (*.f64 x x) (/.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (*.f64 (/.f64 x y) (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64)) y) |
(/.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) x) y) |
(/.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) y) x) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 x x)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) x) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) x) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (sin.f64 y)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x (sin.f64 y)) x)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (sin.f64 y)) x)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 (sin.f64 y) y)) x) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (neg.f64 x)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (/.f64 x y)) x) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x)) x) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 x #s(literal -1 binary64))) y) |
(/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 y #s(literal -1 binary64))) x) |
(/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 x y) x)) x) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) y) |
(/.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) y) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (*.f64 x y)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64))) |
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) x)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 (*.f64 x (sin.f64 y)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x)) |
(/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x))) |
(neg.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (*.f64 (*.f64 x (sin.f64 y)) x))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x)) |
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(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) x) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) x) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (sin.f64 y)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x (sin.f64 y)) x)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (sin.f64 y)) x)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 (sin.f64 y) y)) x) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (neg.f64 x)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (/.f64 x y)) x) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x)) x) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 x #s(literal -1 binary64))) y) |
(/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 y #s(literal -1 binary64))) x) |
(/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 x y) x)) x) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) y) |
(/.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) y) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (*.f64 x y)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64))) |
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) x)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 (*.f64 x (sin.f64 y)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x)) |
(/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x))) |
(neg.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (*.f64 (*.f64 x (sin.f64 y)) x))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) x)) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) y) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y)) |
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64))) |
Compiled 14 657 to 2 222 computations (84.8% saved)
18 alts after pruning (10 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 672 | 7 | 679 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 676 | 18 | 694 |
| Status | Accuracy | Program |
|---|---|---|
| 53.8% | (/.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) y) x) | |
| ✓ | 87.6% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 88.5% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| ▶ | 40.0% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| ▶ | 62.0% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
| 62.7% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 88.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) |
| 65.7% | (*.f64 (/.f64 (sin.f64 y) x) (*.f64 (/.f64 x y) x)) | |
| ✓ | 87.5% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ▶ | 87.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y)) |
| ✓ | 87.4% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
| ✓ | 51.0% | (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y)) |
| 62.7% | (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 52.0% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) | |
| ▶ | 3.0% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
| ✓ | 52.2% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
Compiled 343 to 259 computations (24.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y)) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 (/.f64 y x) (sin.f64 y)) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 219 |
| 0 | 52 | 219 |
| 1 | 75 | 215 |
| 2 | 96 | 213 |
| 3 | 134 | 213 |
| 4 | 161 | 213 |
| 5 | 174 | 213 |
| 6 | 255 | 213 |
| 7 | 331 | 213 |
| 8 | 420 | 213 |
| 9 | 431 | 213 |
| 10 | 439 | 213 |
| 11 | 443 | 213 |
| 12 | 443 | 213 |
| 0 | 443 | 206 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 y x) (sin.f64 y)) |
(/.f64 y x) |
y |
x |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
x |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
x |
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
#s(literal 7/360 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
#s(literal 1 binary64) |
(/.f64 (/.f64 y x) (sin.f64 y)) |
(/.f64 (/.f64 y (sin.f64 y)) x) |
(/.f64 y x) |
y |
x |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x) |
x |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
x |
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
#s(literal 7/360 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.24342297473338367 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| accuracy | 7.976613970858083 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y)) | |
| accuracy | 0.1171875 | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 0.3687279706143187 | (*.f64 #s(literal 7/360 binary64) (*.f64 y y)) | |
| accuracy | 30.656212273507663 | #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 31.17644839707799 | #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 7.908399448448774 | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) | |
| accuracy | 30.83124450441112 | #s(approx (* (sin y) x) (*.f64 x y)) | |
| accuracy | 0.11328125 | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) | |
| accuracy | 0.21875 | (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 30.80376128462273 | #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) | |
| accuracy | 31.729062301910897 | #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.4265861239484041 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) | |
| accuracy | 7.351387740330734 | (/.f64 (/.f64 y x) (sin.f64 y)) |
| 83.0ms | 256× | 0 | valid |
Compiled 130 to 28 computations (78.5% saved)
ival-mult: 15.0ms (31.8% of total)ival-div: 13.0ms (27.5% of total)const: 10.0ms (21.2% of total)ival-sin: 6.0ms (12.7% of total)ival-add: 4.0ms (8.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) |
(/.f64 (/.f64 y x) (sin.f64 y)) |
(/.f64 y x) |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y)) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/ y (* x (sin y))) |
(/ y x) |
(* x (sin y)) |
(* x y) |
(/ x 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 x) |
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 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))) |
(* -1/6 (pow y 2)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
1/6 |
(+ 1/6 (* 7/360 (pow y 2))) |
(* 7/360 (pow y 2)) |
(sin y) |
(/ (sin y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ y (sin y)) |
(* 7/360 (pow y 4)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ 1 (/ (/ y x) (sin y))) (/ (/ y x) (sin y)) (/ y x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ y x)) (* (/ 1 (/ y x)) (sin y)) (* 7/360 (* y y))) |
| 4.0ms | y | @ | 0 | ((/ 1 (/ (/ y x) (sin y))) (/ (/ y x) (sin y)) (/ y x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ y x)) (* (/ 1 (/ y x)) (sin y)) (* 7/360 (* y y))) |
| 3.0ms | y | @ | -inf | ((/ 1 (/ (/ y x) (sin y))) (/ (/ y x) (sin y)) (/ y x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ y x)) (* (/ 1 (/ y x)) (sin y)) (* 7/360 (* y y))) |
| 3.0ms | y | @ | inf | ((/ 1 (/ (/ y x) (sin y))) (/ (/ y x) (sin y)) (/ y x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ y x)) (* (/ 1 (/ y x)) (sin y)) (* 7/360 (* y y))) |
| 2.0ms | x | @ | 0 | ((/ 1 (/ (/ y x) (sin y))) (/ (/ y x) (sin y)) (/ y x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ y x)) (* (/ 1 (/ y x)) (sin y)) (* 7/360 (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 390 |
| 1 | 282 | 390 |
| 2 | 771 | 372 |
| 3 | 2232 | 362 |
| 4 | 3401 | 362 |
| 5 | 5193 | 362 |
| 6 | 6774 | 362 |
| 7 | 7836 | 362 |
| 0 | 8189 | 320 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(/ y (* x (sin y))) |
(/ y x) |
(* x (sin y)) |
(* x y) |
(/ x 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 x) |
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 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))) |
(* -1/6 (pow y 2)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
1/6 |
(+ 1/6 (* 7/360 (pow y 2))) |
(* 7/360 (pow y 2)) |
(sin y) |
(/ (sin y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ y (sin y)) |
(* 7/360 (pow y 4)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ y (* x (sin y))) |
(/.f64 (/.f64 y (sin.f64 y)) x) |
(/ y x) |
(/.f64 y x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x y) |
(*.f64 x y) |
(/ x y) |
(/.f64 x y) |
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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
1 |
#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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* 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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #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 5 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 7/360 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) |
(* 7/360 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 7/360 binary64)) |
(sin y) |
(sin.f64 y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(* 7/360 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) y) y) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 193 |
| 0 | 52 | 193 |
| 1 | 158 | 187 |
| 2 | 815 | 187 |
| 3 | 5986 | 187 |
| 0 | 8195 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) |
(/.f64 (/.f64 y x) (sin.f64 y)) |
(/.f64 y x) |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y)) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sin.f64 y)) x)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64))) |
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(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 (*.f64 #s(literal 7/360 binary64) y) y) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 7/360 binary64)) |
(*.f64 y (*.f64 #s(literal 7/360 binary64) y)) |
Compiled 10 773 to 1 344 computations (87.5% saved)
19 alts after pruning (7 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 489 | 5 | 494 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 493 | 19 | 512 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.6% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 88.5% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| ✓ | 40.0% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 62.7% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 62.0% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
| 87.4% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) | |
| 62.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (/ y x) (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) | |
| 65.7% | (*.f64 (/.f64 (sin.f64 y) x) (*.f64 (/.f64 x y) x)) | |
| ✓ | 87.5% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 87.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y)) |
| ✓ | 87.4% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
| ✓ | 51.0% | (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y)) |
| 62.7% | (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 52.0% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 3.0% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
| 3.0% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) | |
| ✓ | 52.2% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
Compiled 593 to 291 computations (50.9% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ y x) (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) x) (*.f64 (/.f64 x y) x)) |
(/.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) (neg.f64 (sin.f64 y)))) |
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) y)) (sin.f64 y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x))) |
| Outputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
4 calls:
| 45.0ms | x |
| 11.0ms | (/.f64 (sin.f64 y) y) |
| 8.0ms | y |
| 8.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.8% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ y x) (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 24.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.8% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ y x) (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) |
| Outputs |
|---|
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
4 calls:
| 23.0ms | x |
| 4.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 4.0ms | y |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.7% | 1 | x |
| 62.7% | 1 | y |
| 62.7% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 62.7% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 12 to 13 computations (-8.3% saved)
Total -31.8b remaining (-103.9%)
Threshold costs -31.8b (-103.9%)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
| Outputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
4 calls:
| 2.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 1 | (/.f64 (sin.f64 y) y) |
| 52.2% | 1 | x |
| 52.2% | 1 | y |
| 52.2% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 33 |
| 1 | 20 | 33 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 319 |
| 1 | 283 | 316 |
| 2 | 790 | 302 |
| 3 | 2420 | 290 |
| 4 | 4256 | 290 |
| 5 | 7618 | 290 |
| 0 | 8151 | 256 |
| 0 | 5 | 12 |
| 0 | 8 | 12 |
| 1 | 19 | 12 |
| 2 | 72 | 12 |
| 3 | 336 | 12 |
| 0 | 1807 | 12 |
| 0 | 43 | 150 |
| 1 | 118 | 150 |
| 2 | 310 | 140 |
| 3 | 908 | 138 |
| 4 | 1439 | 138 |
| 5 | 2228 | 138 |
| 6 | 3353 | 138 |
| 7 | 3636 | 138 |
| 8 | 4364 | 138 |
| 9 | 6802 | 138 |
| 0 | 8471 | 120 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 68 to 43 computations (36.8% saved)
(negabs x)
(abs y)
Compiled 126 to 86 computations (31.7% saved)
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