
Time bar (total: 9.7s)
| 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)
| 572.0ms | 8 256× | 0 | valid |
ival-sin: 233.0ms (64.9% of total)ival-div: 64.0ms (17.8% of total)ival-mult: 52.0ms (14.5% of total)ival-true: 7.0ms (2% of total)ival-assert: 3.0ms (0.8% of total)| 1× | egg-herbie |
| 600× | times-frac |
| 296× | associate-*r* |
| 278× | associate-*l* |
| 182× | unsub-neg |
| 180× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 36 |
| 1 | 46 | 32 |
| 2 | 122 | 32 |
| 3 | 323 | 32 |
| 4 | 1107 | 32 |
| 5 | 1811 | 32 |
| 6 | 1904 | 32 |
| 7 | 1938 | 32 |
| 8 | 1966 | 32 |
| 9 | 1978 | 32 |
| 10 | 1978 | 32 |
| 0 | 5 | 6 |
| 1 | 8 | 6 |
| 2 | 10 | 6 |
| 3 | 12 | 6 |
| 4 | 13 | 6 |
| 0 | 13 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* x (/ (sin y) y)) |
| Outputs |
|---|
(* x (/ (sin y) y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(abs y)
(negabs x)
| 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 |
| 79.0ms | 512× | 0 | valid |
Compiled 48 to 24 computations (50% saved)
ival-sin: 34.0ms (75.6% of total)ival-div: 7.0ms (15.6% of total)ival-mult: 3.0ms (6.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 8 to 5 computations (37.5% 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)) |
| 12× | *-lowering-*.f32 |
| 12× | *-lowering-*.f64 |
| 6× | *-commutative |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 1 | 8 | 14 |
| 2 | 10 | 14 |
| 3 | 12 | 14 |
| 4 | 13 | 14 |
| 0 | 13 | 14 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (/ (sin y) y)) |
x |
(/ (sin y) y) |
(sin y) |
y |
| Outputs |
|---|
(* x (/ (sin y) y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.9% | (/.f64 (sin.f64 y) y) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 18.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sin: 8.0ms (70.8% of total)ival-div: 2.0ms (17.7% of total)ival-mult: 1.0ms (8.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (/ (sin y) y))> |
#<alt (/ (sin y) y)> |
#<alt (sin y)> |
| Outputs |
|---|
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | 0 | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | inf | (* x (/ (sin y) y)) |
| 1.0ms | y | @ | inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | -inf | (* x (/ (sin y) y)) |
| 1× | batch-egg-rewrite |
| 836× | *-lowering-*.f32 |
| 836× | *-lowering-*.f64 |
| 718× | /-lowering-/.f32 |
| 718× | /-lowering-/.f64 |
| 220× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 1 | 16 | 12 |
| 2 | 69 | 12 |
| 3 | 331 | 12 |
| 0 | 1793 | 12 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (sin y) y)) |
(/ (sin y) y) |
(sin y) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 0 binary64)) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) |
(fma.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(neg.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) |
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y)))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 (*.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x (neg.f64 y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 x (neg.f64 y))) (sin.f64 y)) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) |
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.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)) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y)))) |
(*.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) |
(*.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 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y)) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (sin.f64 y))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (sin.f64 y) y) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 (/.f64 y (sin.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.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 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 y (sin.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)))) (neg.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) |
(*.f64 (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 (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)) #s(literal 1 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)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (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 (sin.f64 y)) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(+.f64 (sin.f64 y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y)))) |
(sin.f64 y) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(neg.f64 (sin.f64 (neg.f64 y))) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (sin.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 16 120× | accelerator-lowering-fma.f32 |
| 16 120× | accelerator-lowering-fma.f64 |
| 4 374× | *-lowering-*.f32 |
| 4 374× | *-lowering-*.f64 |
| 2 386× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 306 |
| 1 | 118 | 306 |
| 2 | 310 | 296 |
| 3 | 910 | 294 |
| 4 | 1439 | 294 |
| 5 | 2227 | 294 |
| 6 | 3349 | 294 |
| 7 | 3639 | 294 |
| 8 | 4369 | 294 |
| 9 | 6831 | 294 |
| 0 | 8504 | 276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* 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)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
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))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
Compiled 2 208 to 442 computations (80% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 14 | 201 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 187 | 15 | 202 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.8% | (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
| 55.0% | (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) | |
| 87.1% | (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) | |
| 86.0% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) | |
| 48.4% | (/.f64 (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) | |
| 87.3% | (/.f64 (*.f64 x (sin.f64 y)) y) | |
| ▶ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| ▶ | 86.1% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
| 88.4% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| 87.1% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) | |
| 55.0% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.7% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) | |
| ▶ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| ▶ | 55.2% | x |
Compiled 296 to 199 computations (32.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 y (*.f64 x (sin.f64 y))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 y (sin.f64 y)) |
| ✓ | cost-diff | 384 | (/.f64 x (/.f64 y (sin.f64 y))) |
| 536× | *-lowering-*.f32 |
| 536× | *-lowering-*.f64 |
| 476× | accelerator-lowering-fma.f32 |
| 476× | accelerator-lowering-fma.f64 |
| 352× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 97 |
| 1 | 52 | 95 |
| 2 | 136 | 95 |
| 3 | 340 | 95 |
| 4 | 551 | 95 |
| 5 | 644 | 95 |
| 6 | 714 | 95 |
| 7 | 772 | 95 |
| 8 | 833 | 95 |
| 9 | 857 | 95 |
| 10 | 860 | 95 |
| 11 | 860 | 95 |
| 0 | 860 | 91 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (/ y (sin y))) |
x |
(/ y (sin y)) |
y |
(sin y) |
x |
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x) |
(* y y) |
y |
(* x (+ (* y (* y 1/120)) -1/6)) |
x |
(+ (* y (* y 1/120)) -1/6) |
(* y 1/120) |
1/120 |
-1/6 |
(* x (* (/ 1 y) (sin y))) |
x |
(* (/ 1 y) (sin y)) |
(/ 1 y) |
1 |
y |
(sin y) |
(/ 1 (/ y (* x (sin y)))) |
1 |
(/ y (* x (sin y))) |
y |
(* x (sin y)) |
x |
(sin y) |
| Outputs |
|---|
(/ x (/ y (sin y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
y |
(sin y) |
(sin.f64 y) |
x |
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(* y y) |
(*.f64 y y) |
y |
(* x (+ (* y (* y 1/120)) -1/6)) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
x |
(+ (* y (* y 1/120)) -1/6) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* y 1/120) |
(*.f64 y #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
(* x (* (/ 1 y) (sin y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(* (/ 1 y) (sin y)) |
(/.f64 (sin.f64 y) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(sin y) |
(sin.f64 y) |
(/ 1 (/ y (* x (sin y)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
1 |
#s(literal 1 binary64) |
(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
y |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
x |
(sin y) |
(sin.f64 y) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| ✓ | accuracy | 98.7% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
| ✓ | accuracy | 87.2% | (/.f64 y (*.f64 x (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 y #s(literal 1/120 binary64)) |
| ✓ | accuracy | 95.6% | (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (/.f64 y (sin.f64 y)) |
| 241.0ms | 256× | 0 | valid |
Compiled 99 to 23 computations (76.8% saved)
ival-sin: 17.0ms (38% of total)ival-mult: 11.0ms (24.6% of total)ival-div: 8.0ms (17.9% of total)const: 6.0ms (13.4% of total)ival-add: 2.0ms (4.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ x (/ y (sin y)))> |
#<alt (/ y (sin y))> |
#<alt (sin y)> |
#<alt (+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)> |
#<alt (* y y)> |
#<alt (* x (+ (* y (* y 1/120)) -1/6))> |
#<alt (+ (* y (* y 1/120)) -1/6)> |
#<alt (* (/ 1 y) (sin y))> |
#<alt (* x (* (/ 1 y) (sin y)))> |
#<alt (/ 1 y)> |
#<alt (/ 1 (/ y (* x (sin y))))> |
#<alt (/ y (* x (sin y)))> |
#<alt (* x (sin y))> |
#<alt (* y 1/120)> |
| Outputs |
|---|
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (* 1/120 (* x (pow y 4)))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))> |
#<alt (* 1/120 (* x (pow y 4)))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))> |
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))> |
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))> |
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* -1/6 x)> |
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))> |
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))> |
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))> |
#<alt (* 1/120 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))> |
#<alt (* 1/120 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ 1 x)> |
#<alt (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))> |
#<alt (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))> |
#<alt (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (/ y (* x (sin y)))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | y | @ | -inf | (/ y (* x (sin y))) |
| 2.0ms | x | @ | 0 | (+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x) |
| 1.0ms | y | @ | inf | (+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x) |
| 1.0ms | x | @ | inf | (+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x) |
| 0.0ms | y | @ | inf | (/ y (* x (sin y))) |
| 1× | batch-egg-rewrite |
| 6 774× | accelerator-lowering-fma.f32 |
| 6 774× | accelerator-lowering-fma.f64 |
| 4 946× | *-lowering-*.f32 |
| 4 946× | *-lowering-*.f64 |
| 2 498× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 80 |
| 1 | 114 | 78 |
| 2 | 707 | 78 |
| 3 | 6748 | 78 |
| 0 | 8223 | 74 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (/ y (sin y))) |
(/ y (sin y)) |
(sin y) |
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x) |
(* y y) |
(* x (+ (* y (* y 1/120)) -1/6)) |
(+ (* y (* y 1/120)) -1/6) |
(* (/ 1 y) (sin y)) |
(* x (* (/ 1 y) (sin y))) |
(/ 1 y) |
(/ 1 (/ y (* x (sin y)))) |
(/ y (* x (sin y))) |
(* x (sin y)) |
(* y 1/120) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 (sin.f64 y)))) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 (*.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x))) |
(/.f64 (neg.f64 x) (/.f64 y (neg.f64 (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 y (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 y (neg.f64 (sin.f64 y)))) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 x (sin.f64 y))) (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(*.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 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 x y) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(*.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 (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
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(/.f64 (/.f64 y (sin.f64 y)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(/.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(/.f64 (neg.f64 y) (neg.f64 (*.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 y (neg.f64 (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 x)) |
(/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 y x) (sin.f64 y)) |
(/.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)) (neg.f64 (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (*.f64 (/.f64 y x) #s(literal 1 binary64)) (sin.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x))) (neg.f64 (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (*.f64 (/.f64 y (neg.f64 (sin.f64 y))) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 (*.f64 x (sin.f64 y))))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y)))) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (neg.f64 (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) y) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 y (neg.f64 x))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (neg.f64 (sin.f64 y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 y (neg.f64 (sin.f64 y)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (sin.f64 y)))) |
(neg.f64 (neg.f64 (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y #s(literal 1/120 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) #s(literal -1 binary64)) |
(*.f64 y #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
(*.f64 (*.f64 y #s(literal 1/120 binary64)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 19 146× | accelerator-lowering-fma.f32 |
| 19 146× | accelerator-lowering-fma.f64 |
| 6 172× | *-lowering-*.f32 |
| 6 172× | *-lowering-*.f64 |
| 1 756× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 1790 |
| 1 | 319 | 1746 |
| 2 | 893 | 1722 |
| 3 | 2876 | 1708 |
| 4 | 6090 | 1708 |
| 0 | 9018 | 1591 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* 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)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
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 (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1/6 x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
1 |
(+ 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))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* 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)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 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)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ 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 (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(/ y (* x (sin y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* 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))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
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(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(/ y (* x (sin y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
Compiled 17 891 to 1 537 computations (91.4% saved)
20 alts after pruning (14 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 952 | 8 | 960 |
| Fresh | 3 | 6 | 9 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 955 | 20 | 975 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.8% | (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
| 55.0% | (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) | |
| ▶ | 87.3% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| 88.0% | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| 64.6% | (/.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| ▶ | 64.5% | (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ▶ | 55.0% | (/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 64.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) | |
| 42.3% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) | |
| ✓ | 86.1% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
| 85.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) y)) | |
| 88.4% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| 87.1% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) | |
| ▶ | 55.0% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 99.7% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
| ✓ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 55.0% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) | |
| ✓ | 55.2% | x |
Compiled 358 to 233 computations (34.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (sin.f64 y)) y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
| ✓ | cost-diff | 320 | (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
| ✓ | cost-diff | 1088 | (/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 y (sin.f64 y)) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
| 3 226× | *-lowering-*.f32 |
| 3 226× | *-lowering-*.f64 |
| 1 870× | cube-prod |
| 1 614× | times-frac |
| 1 568× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 125 |
| 1 | 56 | 121 |
| 2 | 105 | 115 |
| 3 | 243 | 115 |
| 4 | 456 | 115 |
| 5 | 909 | 115 |
| 6 | 2141 | 115 |
| 7 | 2431 | 115 |
| 8 | 2681 | 115 |
| 9 | 3238 | 115 |
| 10 | 4490 | 115 |
| 11 | 4988 | 115 |
| 12 | 7844 | 115 |
| 0 | 8220 | 108 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ 1 (/ y (sin y)))) |
x |
(/ 1 (/ y (sin y))) |
1 |
(/ y (sin y)) |
y |
(sin y) |
(* x (+ (* y (* y -1/6)) 1)) |
x |
(+ (* y (* y -1/6)) 1) |
y |
(* y -1/6) |
-1/6 |
1 |
(/ x (+ (* y (* y 1/6)) 1)) |
x |
(+ (* y (* y 1/6)) 1) |
y |
(* y 1/6) |
1/6 |
1 |
(/ x (/ y (+ (* y (* -1/6 (* y y))) y))) |
x |
(/ y (+ (* y (* -1/6 (* y y))) y)) |
y |
(+ (* y (* -1/6 (* y y))) y) |
(* -1/6 (* y y)) |
-1/6 |
(* y y) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
x |
(sin y) |
y |
| Outputs |
|---|
(* x (/ 1 (/ y (sin y)))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(/ 1 (/ y (sin y))) |
(/.f64 (sin.f64 y) y) |
1 |
#s(literal 1 binary64) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
y |
(sin y) |
(sin.f64 y) |
(* x (+ (* y (* y -1/6)) 1)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) x) |
x |
(+ (* y (* y -1/6)) 1) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y -1/6) |
(*.f64 y #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(/ x (+ (* y (* y 1/6)) 1)) |
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
x |
(+ (* y (* y 1/6)) 1) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y 1/6) |
(*.f64 y #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
(/ x (/ y (+ (* y (* -1/6 (* y y))) y))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) x) |
x |
(/ y (+ (* y (* -1/6 (* y y))) y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
y |
(+ (* y (* -1/6 (* y y))) y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* -1/6 (* y y)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(* y y) |
(*.f64 y y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
x |
(sin y) |
(sin.f64 y) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| ✓ | accuracy | 87.4% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| ✓ | accuracy | 96.0% | (/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
| ✓ | accuracy | 95.7% | (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal 1/6 binary64)) |
| ✓ | accuracy | 93.2% | (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 95.5% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
| ✓ | accuracy | 99.8% | (/.f64 y (sin.f64 y)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
| 288.0ms | 256× | 0 | valid |
Compiled 122 to 27 computations (77.9% saved)
ival-add: 236.0ms (86.5% of total)ival-mult: 14.0ms (5.1% of total)ival-div: 9.0ms (3.3% of total)ival-sin: 7.0ms (2.6% of total)const: 6.0ms (2.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ y (sin y)))> |
#<alt (* x (/ 1 (/ y (sin y))))> |
#<alt (/ y (sin y))> |
#<alt (sin y)> |
#<alt (* x (+ (* y (* y -1/6)) 1))> |
#<alt (+ (* y (* y -1/6)) 1)> |
#<alt (* y -1/6)> |
#<alt (/ x (+ (* y (* y 1/6)) 1))> |
#<alt (+ (* y (* y 1/6)) 1)> |
#<alt (* y 1/6)> |
#<alt (/ x (/ y (+ (* y (* -1/6 (* y y))) y)))> |
#<alt (/ y (+ (* y (* -1/6 (* y y))) y))> |
#<alt (+ (* y (* -1/6 (* y y))) y)> |
#<alt (* -1/6 (* y y))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (* x (sin y))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))> |
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))> |
#<alt (* 6 (/ x (pow y 2)))> |
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))> |
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))> |
#<alt (* 6 (/ x (pow y 2)))> |
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))> |
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2)))))))> |
#<alt (/ -6 (pow y 2))> |
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))> |
#<alt (/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))> |
#<alt (/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))> |
#<alt (/ -6 (pow y 2))> |
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))> |
#<alt (/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))> |
#<alt (/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (/ x (/ y (+ (* y (* -1/6 (* y y))) y))) |
| 3.0ms | y | @ | inf | (* x (+ (* y (* y -1/6)) 1)) |
| 1.0ms | x | @ | 0 | (/ x (/ y (+ (* y (* -1/6 (* y y))) y))) |
| 1.0ms | y | @ | -inf | (/ x (/ y (+ (* y (* -1/6 (* y y))) y))) |
| 1.0ms | x | @ | inf | (/ x (+ (* y (* y 1/6)) 1)) |
| 1× | batch-egg-rewrite |
| 6 956× | accelerator-lowering-fma.f32 |
| 6 956× | accelerator-lowering-fma.f64 |
| 4 926× | *-lowering-*.f32 |
| 4 926× | *-lowering-*.f64 |
| 2 880× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 104 |
| 1 | 131 | 96 |
| 2 | 876 | 96 |
| 3 | 7840 | 96 |
| 0 | 8669 | 89 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ y (sin y))) |
(* x (/ 1 (/ y (sin y)))) |
(/ y (sin y)) |
(sin y) |
(* x (+ (* y (* y -1/6)) 1)) |
(+ (* y (* y -1/6)) 1) |
(* y -1/6) |
(/ x (+ (* y (* y 1/6)) 1)) |
(+ (* y (* y 1/6)) 1) |
(* y 1/6) |
(/ x (/ y (+ (* y (* -1/6 (* y y))) y))) |
(/ y (+ (* y (* -1/6 (* y y))) y)) |
(+ (* y (* -1/6 (* y y))) y) |
(* -1/6 (* y y)) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (sin.f64 y))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) y) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (/.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 (neg.f64 (/.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 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.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 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.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) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (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 (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)) #s(literal 1 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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (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 #s(literal -1 binary64) y) #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y)))) |
(neg.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y))) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y)))) |
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) x)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))) |
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) y) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) x)) |
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.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)) x)) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (sin.f64 y)) |
(*.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 (/.f64 x y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (sin.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 y) (sin.f64 y))) |
(neg.f64 (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(/.f64 y (sin.f64 y)) |
(/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y))) |
(/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 y))) |
(/.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(*.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
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(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.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)) x)) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (sin.f64 y)) |
(*.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 (/.f64 x y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sin.f64 y) x))) |
(neg.f64 (neg.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
| 1× | egg-herbie |
| 20 146× | accelerator-lowering-fma.f32 |
| 20 146× | accelerator-lowering-fma.f64 |
| 5 612× | *-lowering-*.f32 |
| 5 612× | *-lowering-*.f64 |
| 3 434× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 1940 |
| 1 | 446 | 1914 |
| 2 | 1181 | 1892 |
| 3 | 3737 | 1870 |
| 0 | 8454 | 1737 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* 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)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
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 (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(/ x (+ 1 (* 1/6 (pow y 2)))) |
(/ x (+ 1 (* 1/6 (pow y 2)))) |
(/ x (+ 1 (* 1/6 (pow y 2)))) |
(/ x (+ 1 (* 1/6 (pow y 2)))) |
(/ x (+ 1 (* 1/6 (pow y 2)))) |
(/ x (+ 1 (* 1/6 (pow y 2)))) |
(/ x (+ 1 (* 1/6 (pow y 2)))) |
(/ x (+ 1 (* 1/6 (pow y 2)))) |
(/ x (+ 1 (* 1/6 (pow y 2)))) |
(/ x (+ 1 (* 1/6 (pow y 2)))) |
(/ x (+ 1 (* 1/6 (pow y 2)))) |
(/ x (+ 1 (* 1/6 (pow y 2)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x)))) |
(* 6 (/ x (pow y 2))) |
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2)) |
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2)) |
(* 6 (/ x (pow y 2))) |
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2)) |
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2))))))) |
(/ -6 (pow y 2)) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))) |
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2)) |
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2)) |
(/ -6 (pow y 2)) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))) |
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2)) |
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* 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)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* 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))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(+ 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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
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(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(+ 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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 y (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
Compiled 26 434 to 2 332 computations (91.2% saved)
39 alts after pruning (30 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 222 | 25 | 1 247 |
| Fresh | 4 | 5 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 228 | 39 | 1 267 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.8% | (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
| 55.0% | (fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) | |
| ▶ | 64.2% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 54.0% | (/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| 42.6% | (/.f64 (*.f64 y x) y) | |
| 54.6% | (/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 53.8% | (/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 56.9% | (/.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) | |
| 11.3% | (/.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y)) | |
| ✓ | 87.3% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| 88.0% | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| 57.5% | (/.f64 x (fma.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) | |
| ▶ | 57.5% | (/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
| 64.4% | (/.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| 57.5% | (/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) | |
| ▶ | 64.4% | (/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64))) |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 57.0% | (/.f64 x (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) | |
| 54.0% | (/.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 53.7% | (/.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 13.3% | (/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) | |
| 64.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) | |
| 64.2% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)) | |
| ✓ | 86.1% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
| 85.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) y)) | |
| 57.1% | (*.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 88.4% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 64.4% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) | |
| 87.1% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) | |
| ✓ | 55.0% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 13.3% | (*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))) | |
| 64.5% | (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 99.7% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
| ✓ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 55.0% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) | |
| 3.1% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) | |
| ▶ | 3.1% | (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
| ✓ | 55.2% | x |
Compiled 1 184 to 662 computations (44.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 1408 | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y y) x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 5 496× | *-lowering-*.f32 |
| 5 496× | *-lowering-*.f64 |
| 3 798× | accelerator-lowering-fma.f32 |
| 3 798× | accelerator-lowering-fma.f64 |
| 2 260× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 210 |
| 1 | 59 | 210 |
| 2 | 125 | 198 |
| 3 | 292 | 192 |
| 4 | 471 | 192 |
| 5 | 738 | 192 |
| 6 | 848 | 192 |
| 7 | 932 | 192 |
| 8 | 1056 | 192 |
| 9 | 1535 | 192 |
| 10 | 1573 | 192 |
| 11 | 1581 | 192 |
| 12 | 1602 | 192 |
| 13 | 1659 | 192 |
| 14 | 1851 | 192 |
| 15 | 2576 | 192 |
| 16 | 4914 | 192 |
| 17 | 7905 | 192 |
| 0 | 8032 | 177 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ x y) (sin y)) |
(/ x y) |
x |
y |
(sin y) |
(* -1/6 (* (* y y) x)) |
-1/6 |
(* (* y y) x) |
(* y y) |
y |
x |
(/ x (+ (* (* y -1/6) y) 1)) |
x |
(+ (* (* y -1/6) y) 1) |
(* y -1/6) |
y |
-1/6 |
1 |
(/ (/ 1 (+ (* y (* y -1/6)) 1)) (/ 1 x)) |
(/ 1 (+ (* y (* y -1/6)) 1)) |
1 |
(+ (* y (* y -1/6)) 1) |
y |
(* y -1/6) |
-1/6 |
(/ 1 x) |
x |
(/ x (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1)))) |
x |
(+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1))) |
(* y (* y (* y (* y -1/6)))) |
y |
(* y (* y (* y -1/6))) |
(* y (* y -1/6)) |
(* y -1/6) |
-1/6 |
(/ -1/6 (+ (* y (* y -1/6)) -1)) |
(+ (* y (* y -1/6)) -1) |
-1 |
(/ 1 (+ (* y (* y -1/6)) 1)) |
1 |
(+ (* y (* y -1/6)) 1) |
| Outputs |
|---|
(* (/ x y) (sin y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ x y) |
(/.f64 x y) |
x |
y |
(sin y) |
(sin.f64 y) |
(* -1/6 (* (* y y) x)) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
-1/6 |
#s(literal -1/6 binary64) |
(* (* y y) x) |
(*.f64 x (*.f64 y y)) |
(* y y) |
(*.f64 y y) |
y |
x |
(/ x (+ (* (* y -1/6) y) 1)) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
x |
(+ (* (* y -1/6) y) 1) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* y -1/6) |
(*.f64 y #s(literal -1/6 binary64)) |
y |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(/ (/ 1 (+ (* y (* y -1/6)) 1)) (/ 1 x)) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/ 1 (+ (* y (* y -1/6)) 1)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (* y (* y -1/6)) 1) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(* y -1/6) |
(*.f64 y #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(/ x (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1)))) |
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
x |
(+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1))) |
(fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(* y (* y (* y (* y -1/6)))) |
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
y |
(* y (* y (* y -1/6))) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* y (* y -1/6)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(* y -1/6) |
(*.f64 y #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(/ -1/6 (+ (* y (* y -1/6)) -1)) |
(/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(+ (* y (* y -1/6)) -1) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(/ 1 (+ (* y (* y -1/6)) 1)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (* y (* y -1/6)) 1) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.3% | (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 93.2% | (/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
| ✓ | accuracy | 70.3% | (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 93.3% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 93.2% | (/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
| ✓ | accuracy | 90.9% | (*.f64 (*.f64 y y) x) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 88.4% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 95.0ms | 256× | 0 | valid |
Compiled 201 to 29 computations (85.6% saved)
ival-div: 47.0ms (60.5% of total)ival-mult: 15.0ms (19.3% of total)ival-sin: 6.0ms (7.7% of total)ival-add: 4.0ms (5.1% of total)const: 4.0ms (5.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ x y) (sin y))> |
#<alt (/ x y)> |
#<alt (sin y)> |
#<alt (* -1/6 (* (* y y) x))> |
#<alt (* (* y y) x)> |
#<alt (* y y)> |
#<alt (/ x (+ (* (* y -1/6) y) 1))> |
#<alt (+ (* (* y -1/6) y) 1)> |
#<alt (* y -1/6)> |
#<alt (/ (/ 1 (+ (* y (* y -1/6)) 1)) (/ 1 x))> |
#<alt (/ 1 (+ (* y (* y -1/6)) 1))> |
#<alt (+ (* y (* y -1/6)) 1)> |
#<alt (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1)))> |
#<alt (/ x (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1))))> |
#<alt (* y (* y (* y (* y -1/6))))> |
#<alt (* y (* y (* y -1/6)))> |
#<alt (/ -1/6 (+ (* y (* y -1/6)) -1))> |
| Outputs |
|---|
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt x> |
#<alt (+ x (* 1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* -1/6 x))))> |
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/216 (* x (pow y 2))) (* -1/36 x))) (* -1/6 x))))> |
#<alt (* -6 (/ x (pow y 2)))> |
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))> |
#<alt (/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2))> |
#<alt (* -6 (/ x (pow y 2)))> |
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))> |
#<alt (/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt x> |
#<alt (+ x (* 1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* -1/6 x))))> |
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/216 (* x (pow y 2))) (* -1/36 x))) (* -1/6 x))))> |
#<alt (* -6 (/ x (pow y 2)))> |
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))> |
#<alt (/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2))> |
#<alt (* -6 (/ x (pow y 2)))> |
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))> |
#<alt (/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (/ x (+ 1 (* -1/6 (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2)))))))> |
#<alt (/ -6 (pow y 2))> |
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))> |
#<alt (/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))> |
#<alt (/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))> |
#<alt (/ -6 (pow y 2))> |
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))> |
#<alt (/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))> |
#<alt (/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/108 (pow y 4)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 4) (+ 1/108 (* 1/3888 (pow y 4)))))))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/6 (/ 12 (pow y 4)))))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ (+ 12 (* 432 (/ 1 (pow y 4)))) (pow y 4))) (/ 1 (pow y 2))) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/6 (/ 12 (pow y 4)))))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ (+ 12 (* 432 (/ 1 (pow y 4)))) (pow y 4))) (/ 1 (pow y 2))) 1/6))> |
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))> |
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* 1/216 x) (* 1/108 x)))) (* -1/36 x))) (* 1/6 x))))> |
#<alt (* -6 (/ x (pow y 2)))> |
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))> |
#<alt (/ (- (+ (* -6 x) (* -1 (/ (+ (* -432 x) (* 216 x)) (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ (* -6 x) (* -1 (/ (+ (* -2592 x) (* 6 (+ (* -432 x) (* 216 x)))) (pow y 6)))) (+ (* -432 (/ x (pow y 4))) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4)))))) (pow y 2))> |
#<alt (* -6 (/ x (pow y 2)))> |
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))> |
#<alt (/ (- (+ (* -6 x) (* -1 (/ (+ (* -432 x) (* 216 x)) (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ (* -6 x) (* -1 (/ (+ (* -2592 x) (* 6 (+ (* -432 x) (* 216 x)))) (pow y 6)))) (+ (* -432 (/ x (pow y 4))) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4)))))) (pow y 2))> |
#<alt (* -1/6 (pow y 4))> |
#<alt (* -1/6 (pow y 4))> |
#<alt (* -1/6 (pow y 4))> |
#<alt (* -1/6 (pow y 4))> |
#<alt (* -1/6 (pow y 4))> |
#<alt (* -1/6 (pow y 4))> |
#<alt (* -1/6 (pow y 4))> |
#<alt (* -1/6 (pow y 4))> |
#<alt (* -1/6 (pow y 4))> |
#<alt (* -1/6 (pow y 4))> |
#<alt (* -1/6 (pow y 4))> |
#<alt (* -1/6 (pow y 4))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/36 (pow y 2)))> |
#<alt (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36)))> |
#<alt (+ 1/6 (* (pow y 2) (- (* (pow y 2) (+ 1/216 (* -1/1296 (pow y 2)))) 1/36)))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2))> |
#<alt (/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | (/ x (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1)))) |
| 2.0ms | x | @ | 0 | (/ x (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1)))) |
| 2.0ms | x | @ | -inf | (/ x y) |
| 1.0ms | x | @ | inf | (/ x (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1)))) |
| 1.0ms | x | @ | 0 | (* -1/6 (* (* y y) x)) |
| 1× | batch-egg-rewrite |
| 10 960× | accelerator-lowering-fma.f32 |
| 10 960× | accelerator-lowering-fma.f64 |
| 5 004× | *-lowering-*.f32 |
| 5 004× | *-lowering-*.f64 |
| 3 184× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 155 |
| 1 | 157 | 147 |
| 2 | 1006 | 137 |
| 0 | 8597 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ x y) (sin y)) |
(/ x y) |
(sin y) |
(* -1/6 (* (* y y) x)) |
(* (* y y) x) |
(* y y) |
(/ x (+ (* (* y -1/6) y) 1)) |
(+ (* (* y -1/6) y) 1) |
(* y -1/6) |
(/ (/ 1 (+ (* y (* y -1/6)) 1)) (/ 1 x)) |
(/ 1 (+ (* y (* y -1/6)) 1)) |
(+ (* y (* y -1/6)) 1) |
(+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1))) |
(/ x (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1)))) |
(* y (* y (* y (* y -1/6)))) |
(* y (* y (* y -1/6))) |
(/ -1/6 (+ (* y (* y -1/6)) -1)) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) (sin.f64 y))) |
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y)))) |
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) y)) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y))))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y)) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (sin.f64 y)))) y) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
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(+.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64)))) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64)))) (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -6 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -6 binary64)))) |
(/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -6 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64))) |
(/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 16 188× | accelerator-lowering-fma.f32 |
| 16 188× | accelerator-lowering-fma.f64 |
| 5 574× | *-lowering-*.f32 |
| 5 574× | *-lowering-*.f64 |
| 2 964× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 218 | 2551 |
| 1 | 591 | 2535 |
| 2 | 1612 | 2448 |
| 3 | 4989 | 2448 |
| 0 | 8657 | 2294 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* 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)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* -1/6 x)))) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/216 (* x (pow y 2))) (* -1/36 x))) (* -1/6 x)))) |
(* -6 (/ x (pow y 2))) |
(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2)) |
(/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2)) |
(* -6 (/ x (pow y 2))) |
(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2)) |
(/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* -1/6 x)))) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/216 (* x (pow y 2))) (* -1/36 x))) (* -1/6 x)))) |
(* -6 (/ x (pow y 2))) |
(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2)) |
(/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2)) |
(* -6 (/ x (pow y 2))) |
(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2)) |
(/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2)) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2))))))) |
(/ -6 (pow y 2)) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))) |
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2)) |
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2)) |
(/ -6 (pow y 2)) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))) |
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2)) |
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/108 (pow y 4))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 4) (+ 1/108 (* 1/3888 (pow y 4))))))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/6 (/ 12 (pow y 4))))) |
(* (pow y 2) (- (+ (* -1 (/ (+ 12 (* 432 (/ 1 (pow y 4)))) (pow y 4))) (/ 1 (pow y 2))) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/6 (/ 12 (pow y 4))))) |
(* (pow y 2) (- (+ (* -1 (/ (+ 12 (* 432 (/ 1 (pow y 4)))) (pow y 4))) (/ 1 (pow y 2))) 1/6)) |
(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) |
(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) |
(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) |
(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) |
(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) |
(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) |
(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) |
(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) |
(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) |
(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) |
(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) |
(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2)))))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* 1/216 x) (* 1/108 x)))) (* -1/36 x))) (* 1/6 x)))) |
(* -6 (/ x (pow y 2))) |
(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2)) |
(/ (- (+ (* -6 x) (* -1 (/ (+ (* -432 x) (* 216 x)) (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -6 x) (* -1 (/ (+ (* -2592 x) (* 6 (+ (* -432 x) (* 216 x)))) (pow y 6)))) (+ (* -432 (/ x (pow y 4))) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4)))))) (pow y 2)) |
(* -6 (/ x (pow y 2))) |
(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2)) |
(/ (- (+ (* -6 x) (* -1 (/ (+ (* -432 x) (* 216 x)) (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -6 x) (* -1 (/ (+ (* -2592 x) (* 6 (+ (* -432 x) (* 216 x)))) (pow y 6)))) (+ (* -432 (/ x (pow y 4))) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4)))))) (pow y 2)) |
(* -1/6 (pow y 4)) |
(* -1/6 (pow y 4)) |
(* -1/6 (pow y 4)) |
(* -1/6 (pow y 4)) |
(* -1/6 (pow y 4)) |
(* -1/6 (pow y 4)) |
(* -1/6 (pow y 4)) |
(* -1/6 (pow y 4)) |
(* -1/6 (pow y 4)) |
(* -1/6 (pow y 4)) |
(* -1/6 (pow y 4)) |
(* -1/6 (pow y 4)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
1/6 |
(+ 1/6 (* -1/36 (pow y 2))) |
(+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36))) |
(+ 1/6 (* (pow y 2) (- (* (pow y 2) (+ 1/216 (* -1/1296 (pow y 2)))) 1/36))) |
(/ 1 (pow y 2)) |
(/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2)) |
(/ 1 (pow y 2)) |
(/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2)) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* -1/6 (pow y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x) |
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* -1/6 x)))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) x) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/216 (* x (pow y 2))) (* -1/36 x))) (* -1/6 x)))) |
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/216 binary64)) #s(literal 1/36 binary64)))))) x) |
(* -6 (/ x (pow y 2))) |
(/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y)) |
(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2)) |
(/.f64 (fma.f64 x #s(literal -6 binary64) (*.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y)) |
(/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y y)) |
(/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2)) |
(/.f64 (fma.f64 x (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 y y)) |
(* -6 (/ x (pow y 2))) |
(/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y)) |
(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2)) |
(/.f64 (fma.f64 x #s(literal -6 binary64) (*.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y)) |
(/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y y)) |
(/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2)) |
(/.f64 (fma.f64 x (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 y y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
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(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) |
(* -1/6 (pow y 4)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) |
(* -1/6 (pow y 4)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) |
(* -1/6 (pow y 4)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) |
(* -1/6 (pow y 4)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) |
(* -1/6 (pow y 4)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) |
(* -1/6 (pow y 4)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) |
(* -1/6 (pow y 4)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/36 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/216 binary64)) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow y 2) (- (* (pow y 2) (+ 1/216 (* -1/1296 (pow y 2)))) 1/36))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/1296 binary64) #s(literal 1/216 binary64))) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 y y))) (/.f64 #s(literal 36 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)) |
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2)) |
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 y y))) (/.f64 #s(literal 36 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -216 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 y y))) (/.f64 #s(literal 36 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)) |
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2)) |
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 y y))) (/.f64 #s(literal 36 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -216 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y)) |
Compiled 75 867 to 3 691 computations (95.1% saved)
47 alts after pruning (35 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 942 | 18 | 1 960 |
| Fresh | 8 | 17 | 25 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 9 | 9 |
| Total | 1 952 | 47 | 1 999 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.8% | (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
| 55.0% | (fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) | |
| 56.9% | (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) | |
| 56.9% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y y)) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x)) | |
| 11.7% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) | |
| 11.7% | (/.f64 (/.f64 #s(literal -6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) | |
| 42.6% | (/.f64 (*.f64 y x) y) | |
| 56.9% | (/.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) | |
| 11.3% | (/.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y)) | |
| ✓ | 87.3% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| 11.7% | (/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y)) | |
| 88.0% | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| 57.0% | (/.f64 x (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y y)) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) | |
| 57.0% | (/.f64 x (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) y) (*.f64 y y)) (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) | |
| 57.5% | (/.f64 x (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) | |
| 57.5% | (/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) | |
| 57.5% | (/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 57.1% | (/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) | |
| 64.4% | (/.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| ✓ | 64.4% | (/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64))) |
| 57.0% | (/.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 57.0% | (/.f64 x (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) | |
| 53.7% | (/.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 13.3% | (/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) | |
| 11.7% | (/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) | |
| 64.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) | |
| ✓ | 86.1% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
| 85.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) y)) | |
| 64.2% | (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) x)) | |
| 57.1% | (*.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 88.4% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 51.4% | (*.f64 (/.f64 x y) y) | |
| 64.4% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) | |
| 88.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y)) | |
| 3.1% | (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) | |
| 3.1% | (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) | |
| ✓ | 55.0% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 13.3% | (*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))) | |
| 64.5% | (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 99.7% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
| ✓ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 55.0% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) | |
| 3.1% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) | |
| ✓ | 3.1% | (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
| ✓ | 55.2% | x |
Compiled 1 650 to 612 computations (62.9% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 y x) y) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))) |
(/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y)) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64))) |
(/.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(/.f64 (/.f64 #s(literal -6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 x (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) y) (*.f64 y y)) (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y y)) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y y)) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) y)) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 39.0ms | x |
| 27.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 19.0ms | (/.f64 (sin.f64 y) y) |
| 18.0ms | 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 20 to 13 computations (35% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 y x) y) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))) |
(/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y)) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64))) |
(/.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(/.f64 (/.f64 #s(literal -6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 x (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) y) (*.f64 y y)) (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y y)) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y y)) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
4 calls:
| 45.0ms | (/.f64 (sin.f64 y) y) |
| 18.0ms | y |
| 15.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 1 | x |
| 64.6% | 1 | y |
| 64.6% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 64.6% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 y x) y) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))) |
(/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y)) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64))) |
(/.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
4 calls:
| 10.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 8.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.5% | 1 | (/.f64 (sin.f64 y) y) |
| 64.5% | 1 | x |
| 64.5% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 64.5% | 1 | y |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 y x) y) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))) |
(/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y)) |
| Outputs |
|---|
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
4 calls:
| 6.0ms | (/.f64 (sin.f64 y) y) |
| 5.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 5.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 64.8% | 2 | (/.f64 (sin.f64 y) y) |
| 62.9% | 2 | x |
| 64.8% | 2 | y |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 y x) y) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))) |
| Outputs |
|---|
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))) |
2 calls:
| 4.0ms | y |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 2 | (/.f64 (sin.f64 y) y) |
| 64.7% | 2 | y |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 y x) y) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
| Outputs |
|---|
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
3 calls:
| 4.0ms | y |
| 4.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.3% | 2 | (/.f64 (sin.f64 y) y) |
| 62.8% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 63.4% | 2 | y |
Compiled 17 to 11 computations (35.3% saved)
Total -33.6b remaining (-117.3%)
Threshold costs -33.6b (-117.3%)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
x |
4 calls:
| 5.0ms | (/.f64 (sin.f64 y) y) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 55.2% | 1 | x |
| 55.2% | 1 | (/.f64 (sin.f64 y) y) |
| 55.2% | 1 | y |
Compiled 20 to 13 computations (35% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.0028165567858357992 | 17.593150727327018 |
| 10.0ms | 128× | 0 | valid |
Compiled 179 to 130 computations (27.4% saved)
ival-sin: 5.0ms (75.9% of total)ival-div: 1.0ms (15.2% of total)ival-mult: 1.0ms (15.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.4122988824429274e+36 | 8.691653590665442e+37 |
| 8.0ms | 112× | 0 | valid |
Compiled 158 to 115 computations (27.2% saved)
ival-sin: 4.0ms (71.1% of total)ival-div: 1.0ms (17.8% of total)ival-mult: 1.0ms (17.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.4122988824429274e+36 | 8.691653590665442e+37 |
| 8.0ms | 112× | 0 | valid |
Compiled 144 to 101 computations (29.9% saved)
ival-sin: 4.0ms (71.8% of total)ival-div: 1.0ms (17.9% of total)ival-mult: 1.0ms (17.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 83 |
| 1 | 47 | 83 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(if (<=.f64 y #s(literal 5500000000000000159526529262260584448 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))) |
(if (<=.f64 y #s(literal 3599999999999999739507227295370706944 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x y) y)) |
x |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(if (<=.f64 y #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
(if (<=.f64 y #s(literal 5500000000000000159526529262260584448 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))) |
(if (<=.f64 y #s(literal 3599999999999999739507227295370706944 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x y) y)) |
(if (<=.f64 y #s(literal 3599999999999999739507227295370706944 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 y (/.f64 x y))) |
x |
| 20 146× | accelerator-lowering-fma.f32 |
| 20 146× | accelerator-lowering-fma.f64 |
| 19 146× | accelerator-lowering-fma.f32 |
| 19 146× | accelerator-lowering-fma.f64 |
| 16 188× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 1 | 16 | 12 |
| 2 | 69 | 12 |
| 3 | 331 | 12 |
| 0 | 1793 | 12 |
| 0 | 157 | 1940 |
| 1 | 446 | 1914 |
| 2 | 1181 | 1892 |
| 3 | 3737 | 1870 |
| 0 | 8454 | 1737 |
| 0 | 43 | 306 |
| 1 | 118 | 306 |
| 2 | 310 | 296 |
| 3 | 910 | 294 |
| 4 | 1439 | 294 |
| 5 | 2227 | 294 |
| 6 | 3349 | 294 |
| 7 | 3639 | 294 |
| 8 | 4369 | 294 |
| 9 | 6831 | 294 |
| 0 | 8504 | 276 |
| 0 | 218 | 2551 |
| 1 | 591 | 2535 |
| 2 | 1612 | 2448 |
| 3 | 4989 | 2448 |
| 0 | 8657 | 2294 |
| 0 | 25 | 104 |
| 1 | 131 | 96 |
| 2 | 876 | 96 |
| 3 | 7840 | 96 |
| 0 | 8669 | 89 |
| 0 | 105 | 1790 |
| 1 | 319 | 1746 |
| 2 | 893 | 1722 |
| 3 | 2876 | 1708 |
| 4 | 6090 | 1708 |
| 0 | 9018 | 1591 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 228 to 131 computations (42.5% saved)
(negabs x)
(abs y)
Compiled 250 to 122 computations (51.2% saved)
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