
Time bar (total: 10.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 7 computations (12.5% saved)
| 619.0ms | 8 256× | 0 | valid |
ival-sin: 279.0ms (65.8% of total)ival-mult: 69.0ms (16.3% of total)ival-div: 67.0ms (15.8% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)| 2× | egg-herbie |
| 630× | times-frac |
| 300× | associate-*r* |
| 288× | associate-*l* |
| 182× | unsub-neg |
| 180× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 38 |
| 1 | 49 | 38 |
| 2 | 125 | 38 |
| 3 | 331 | 38 |
| 4 | 1120 | 38 |
| 5 | 1825 | 38 |
| 6 | 1918 | 38 |
| 7 | 1952 | 38 |
| 8 | 1980 | 38 |
| 9 | 1992 | 38 |
| 10 | 1992 | 38 |
| 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) |
| Inputs |
|---|
(* x (/ (sin y) y)) |
(* (neg x) (/ (sin y) y)) |
(* x (/ (sin (neg y)) (neg y))) |
(neg (* (neg x) (/ (sin y) y))) |
(neg (* x (/ (sin (neg y)) (neg y)))) |
(* y (/ (sin x) x)) |
| Outputs |
|---|
(* x (/ (sin y) y)) |
(/ (* x (sin y)) y) |
(* (neg x) (/ (sin y) y)) |
(* (sin y) (/ x (neg y))) |
(* x (/ (sin (neg y)) (neg y))) |
(/ (* x (sin y)) y) |
(neg (* (neg x) (/ (sin y) y))) |
(/ (* x (sin y)) y) |
(neg (* x (/ (sin (neg y)) (neg y)))) |
(* (sin y) (/ x (neg y))) |
(* y (/ (sin x) x)) |
(/ (* y (sin x)) x) |
(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 |
| 34.0ms | 512× | 0 | valid |
Compiled 48 to 24 computations (50% saved)
ival-sin: 13.0ms (63.2% of total)ival-div: 4.0ms (19.4% of total)ival-mult: 3.0ms (14.6% 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 |
|---|---|---|
| ▶ | 99.7% | (*.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 | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) y) |
| 20.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sin: 10.0ms (74% of total)ival-div: 2.0ms (14.8% of total)ival-mult: 1.0ms (7.4% 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 | x | @ | 0 | (* x (/ (sin y) y)) |
| 1.0ms | y | @ | -inf | (* x (/ (sin y) y)) |
| 1.0ms | y | @ | inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | -inf | (* x (/ (sin y) y)) |
| 0.0ms | 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)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 188 | 13 | 201 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 188 | 14 | 202 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 45.3% | (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
| 45.4% | (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) | |
| 45.5% | (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) | |
| 56.4% | (/.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))) | |
| ▶ | 92.2% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| ▶ | 99.7% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 89.2% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| 92.0% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) | |
| 45.5% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 99.7% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.7% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) | |
| ▶ | 64.4% | (*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)) |
| 58.3% | (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) | |
| ▶ | 46.0% | x |
Compiled 306 to 203 computations (33.7% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 (sin.f64 y)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)) |
| ✓ | cost-diff | 256 | (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) |
| ✓ | cost-diff | 640 | (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
| ✓ | 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 | (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))) |
| 5 536× | accelerator-lowering-fma.f32 |
| 5 536× | accelerator-lowering-fma.f64 |
| 3 044× | *-lowering-*.f32 |
| 3 044× | *-lowering-*.f64 |
| 1 360× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 108 |
| 1 | 62 | 108 |
| 2 | 214 | 100 |
| 3 | 845 | 100 |
| 4 | 2791 | 100 |
| 5 | 4603 | 100 |
| 6 | 6081 | 100 |
| 7 | 6729 | 100 |
| 8 | 6856 | 100 |
| 9 | 6918 | 100 |
| 10 | 7480 | 100 |
| 0 | 8128 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 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 (sin y)) y) |
(* x (sin y)) |
x |
(sin y) |
y |
(* x (* (/ (neg (sin y)) (neg (* y y))) y)) |
x |
(* (/ (neg (sin y)) (neg (* y y))) y) |
(/ (neg (sin y)) (neg (* y y))) |
(neg (sin y)) |
(sin y) |
y |
(neg (* y y)) |
(* y y) |
| Outputs |
|---|
(/ x (/ y (sin y))) |
(/.f64 (*.f64 x (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 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 x y)) 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 (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 |
(* x (* (/ (neg (sin y)) (neg (* y y))) y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(* (/ (neg (sin y)) (neg (* y y))) y) |
(/.f64 (sin.f64 y) y) |
(/ (neg (sin y)) (neg (* y y))) |
(/.f64 (sin.f64 y) (*.f64 y y)) |
(neg (sin y)) |
(sin.f64 (neg.f64 y)) |
(sin y) |
(sin.f64 y) |
y |
(neg (* y y)) |
(*.f64 y (neg.f64 y)) |
(* y y) |
(*.f64 y y) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)) |
| ✓ | accuracy | 81.9% | (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) |
| ✓ | accuracy | 75.6% | (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| ✓ | accuracy | 92.3% | (/.f64 (*.f64 x (sin.f64 y)) 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 | 99.8% | (*.f64 y #s(literal 1/120 binary64)) |
| ✓ | accuracy | 93.6% | (*.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 | 99.7% | (/.f64 y (sin.f64 y)) |
| 76.0ms | 256× | 0 | valid |
Compiled 112 to 23 computations (79.5% saved)
const: 23.0ms (42% of total)ival-mult: 11.0ms (20.1% of total)ival-div: 9.0ms (16.4% of total)ival-sin: 7.0ms (12.8% of total)ival-add: 3.0ms (5.5% of total)ival-neg: 2.0ms (3.6% of total)ival-true: 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 (/ (* x (sin y)) y)> |
#<alt (* x (sin y))> |
#<alt (* (/ (neg (sin y)) (neg (* y y))) y)> |
#<alt (/ (neg (sin y)) (neg (* y y)))> |
#<alt (* x (* (/ (neg (sin y)) (neg (* y y))) y))> |
#<alt (neg (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 (/ (* 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))> |
#<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 (/ 1 y)> |
#<alt (/ (+ 1 (* -1/6 (pow y 2))) y)> |
#<alt (/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) y)> |
#<alt (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) y)> |
#<alt (/ (sin y) (pow y 2))> |
#<alt (/ (sin y) (pow y 2))> |
#<alt (/ (sin y) (pow y 2))> |
#<alt (/ (sin y) (pow y 2))> |
#<alt (/ (sin y) (pow y 2))> |
#<alt (/ (sin y) (pow y 2))> |
#<alt (/ (sin y) (pow y 2))> |
#<alt (/ (sin y) (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 (* -1 y)> |
#<alt (* y (- (* 1/6 (pow y 2)) 1))> |
#<alt (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))> |
#<alt (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (* -1 (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)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x) |
| 2.0ms | y | @ | -inf | (/ y (sin y)) |
| 1.0ms | x | @ | inf | (+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x) |
| 1.0ms | y | @ | inf | (+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x) |
| 0.0ms | y | @ | inf | (/ y (sin y)) |
| 1× | batch-egg-rewrite |
| 7 308× | accelerator-lowering-fma.f32 |
| 7 308× | accelerator-lowering-fma.f64 |
| 5 508× | *-lowering-*.f32 |
| 5 508× | *-lowering-*.f64 |
| 2 848× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 86 |
| 1 | 116 | 82 |
| 2 | 805 | 78 |
| 3 | 7797 | 78 |
| 0 | 8519 | 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) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* (/ (neg (sin y)) (neg (* y y))) y) |
(/ (neg (sin y)) (neg (* y y))) |
(* x (* (/ (neg (sin y)) (neg (* y y))) y)) |
(neg (sin y)) |
(* y 1/120) |
| 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))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (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 (/.f64 (sin.f64 y) (neg.f64 (*.f64 y y))) (*.f64 x y))) |
(neg.f64 (*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 (*.f64 y y))) y)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))) |
(neg.f64 (*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 (*.f64 y y))))) |
(neg.f64 (*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (neg.f64 (*.f64 y y))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x)) (*.f64 y y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) x)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (sin.f64 y)) 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 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x)))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y))))) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 x y) (/.f64 (*.f64 y y) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x)) (neg.f64 (*.f64 y y))) |
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.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 y y)))))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (*.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x))) (*.f64 y y)) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y) |
(/.f64 (*.f64 (*.f64 y (sin.f64 y)) x) (*.f64 y y)) |
(/.f64 (*.f64 x (*.f64 y (sin.f64 y))) (*.f64 y y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x)) (*.f64 y y)) #s(literal -1 binary64)) |
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(*.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (neg.f64 (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(+.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.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 y y)))))) |
(fma.f64 y (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 0 binary64)) |
(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) (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (sin.f64 y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 y (sin.f64 y))) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.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 y y))))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 0 binary64)) |
(neg.f64 (sin.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 y (neg.f64 (*.f64 y (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (neg.f64 (*.f64 y (sin.f64 y))) y) |
(/.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 y y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (sin.f64 y)) |
(/.f64 (*.f64 y (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 1 binary64)) (sin.f64 y)) |
(/.f64 (neg.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 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (sin.f64 y))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.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 y y)))) #s(literal 0 binary64)))) |
(*.f64 y (/.f64 (sin.f64 y) (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) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) (sin.f64 y)) |
(*.f64 (neg.f64 (*.f64 y (sin.f64 y))) (/.f64 #s(literal 1 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 y y)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(*.f64 y #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
| 1× | egg-herbie |
| 17 320× | accelerator-lowering-fma.f32 |
| 17 320× | accelerator-lowering-fma.f64 |
| 5 408× | *-lowering-*.f32 |
| 5 408× | *-lowering-*.f64 |
| 2 008× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1741 |
| 1 | 315 | 1697 |
| 2 | 842 | 1671 |
| 3 | 2704 | 1661 |
| 4 | 5753 | 1661 |
| 0 | 8668 | 1541 |
| 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))))) |
(/ (* 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)) |
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) |
(/ 1 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))) y) |
(/ (sin y) (pow y 2)) |
(/ (sin y) (pow y 2)) |
(/ (sin y) (pow y 2)) |
(/ (sin y) (pow y 2)) |
(/ (sin y) (pow y 2)) |
(/ (sin y) (pow y 2)) |
(/ (sin y) (pow y 2)) |
(/ (sin y) (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) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (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 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 y (*.f64 x (*.f64 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 y 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) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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)))) |
(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 (*.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 (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)) (*.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) |
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)))))) |
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(neg.f64 (sin.f64 y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* -1 (sin y)) |
(neg.f64 (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 24 099 to 2 457 computations (89.8% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 314 | 12 | 1 326 |
| Fresh | 5 | 3 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 320 | 20 | 1 340 |
| Status | Accuracy | Program |
|---|---|---|
| 45.4% | (fma.f64 (*.f64 y 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) | |
| ✓ | 45.3% | (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
| 45.5% | (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) | |
| ▶ | 99.5% | (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
| 38.0% | (/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) | |
| ✓ | 92.2% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| 38.4% | (/.f64 (*.f64 x y) y) | |
| 90.0% | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| ▶ | 56.3% | (/.f64 x (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))) |
| ▶ | 56.3% | (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 56.3% | (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 45.5% | (/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) | |
| ✓ | 99.7% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 81.3% | (/.f64 x (*.f64 y (/.f64 y (*.f64 y (sin.f64 y))))) | |
| 89.2% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| 92.0% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) | |
| ▶ | 45.5% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | 99.7% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 45.9% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
| ✓ | 46.0% | x |
Compiled 396 to 246 computations (37.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (/.f64 x (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))) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 320 | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
| ✓ | cost-diff | 1024 | (*.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 y) y) |
| ✓ | cost-diff | 1088 | (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
| 3 990× | *-lowering-*.f32 |
| 3 990× | *-lowering-*.f64 |
| 3 302× | accelerator-lowering-fma.f32 |
| 3 302× | accelerator-lowering-fma.f64 |
| 2 584× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 175 |
| 1 | 91 | 173 |
| 2 | 216 | 173 |
| 3 | 630 | 173 |
| 4 | 1505 | 173 |
| 5 | 2861 | 173 |
| 6 | 3235 | 173 |
| 7 | 3689 | 173 |
| 8 | 4605 | 173 |
| 9 | 4948 | 173 |
| 10 | 5032 | 173 |
| 11 | 7179 | 173 |
| 12 | 7793 | 173 |
| 0 | 8050 | 156 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (sin y) y) (/ 1 x)) |
(/ (sin y) y) |
(sin y) |
y |
(/ 1 x) |
1 |
x |
(* x (+ (* y (* y -1/6)) 1)) |
x |
(+ (* y (* y -1/6)) 1) |
y |
(* y -1/6) |
-1/6 |
1 |
(* x (* (/ 1 y) y)) |
x |
(* (/ 1 y) y) |
(/ 1 y) |
1 |
y |
(/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)) |
x |
(+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1) |
(* y y) |
y |
(+ (* y (* y 7/360)) 1/6) |
(* y 7/360) |
7/360 |
1/6 |
1 |
(/ x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1)) |
x |
(+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1) |
(* y y) |
y |
(+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6) |
(* y (+ (* (* y y) 31/15120) 7/360)) |
(+ (* (* y y) 31/15120) 7/360) |
31/15120 |
7/360 |
1/6 |
1 |
| Outputs |
|---|
(/ (/ (sin y) y) (/ 1 x)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
y |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* x (+ (* y (* y -1/6)) 1)) |
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) 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 (* (/ 1 y) y)) |
x |
x |
(* (/ 1 y) y) |
#s(literal 1 binary64) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
x |
(+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* y y) |
(*.f64 y y) |
y |
(+ (* y (* y 7/360)) 1/6) |
(fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) |
(* y 7/360) |
(*.f64 y #s(literal 7/360 binary64)) |
7/360 |
#s(literal 7/360 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
(/ x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1)) |
(/.f64 x (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))) |
x |
(+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1) |
(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 y) |
(*.f64 y y) |
y |
(+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6) |
(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)) |
(* y (+ (* (* y y) 31/15120) 7/360)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) |
(+ (* (* y y) 31/15120) 7/360) |
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) |
31/15120 |
#s(literal 31/15120 binary64) |
7/360 |
#s(literal 7/360 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (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)) |
| ✓ | accuracy | 99.8% | (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) |
| ✓ | accuracy | 99.7% | (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) |
| ✓ | accuracy | 97.8% | (/.f64 x (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))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 y #s(literal 7/360 binary64)) |
| ✓ | accuracy | 97.0% | (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) y) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 93.8% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) y) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
| 85.0ms | 256× | 0 | valid |
Compiled 170 to 35 computations (79.4% saved)
ival-sin: 21.0ms (31.4% of total)ival-mult: 17.0ms (25.4% of total)const: 12.0ms (17.9% of total)ival-div: 10.0ms (14.9% of total)ival-add: 7.0ms (10.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (sin y) y) (/ 1 x))> |
#<alt (/ (sin y) y)> |
#<alt (sin y)> |
#<alt (/ 1 x)> |
#<alt (* x (+ (* y (* y -1/6)) 1))> |
#<alt (+ (* y (* y -1/6)) 1)> |
#<alt (* y -1/6)> |
#<alt (* (/ 1 y) y)> |
#<alt (* x (* (/ 1 y) y))> |
#<alt (/ 1 y)> |
#<alt (/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1))> |
#<alt (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)> |
#<alt (* y y)> |
#<alt (+ (* y (* y 7/360)) 1/6)> |
#<alt (/ x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1))> |
#<alt (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1)> |
#<alt (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)> |
#<alt (* y 7/360)> |
#<alt (+ (* (* y y) 31/15120) 7/360)> |
#<alt (* y (+ (* (* y y) 31/15120) 7/360))> |
| Outputs |
|---|
#<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> |
#<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)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<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 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<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 (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))> |
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 7/360 x))) (* -7/2160 x)))) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))> |
#<alt (* 360/7 (/ x (pow y 4)))> |
#<alt (/ (+ (* -21600/49 (/ x (pow y 2))) (* 360/7 x)) (pow y 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1296000/343 x) (* 129600/49 x)) (pow y 4))) (* 360/7 x)) (* 21600/49 (/ x (pow y 2)))) (pow y 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -7776000/343 x) (* -60/7 (+ (* -1296000/343 x) (* 129600/49 x)))) (pow y 6))) (* 360/7 x)) (+ (* -1296000/343 (/ x (pow y 4))) (+ (* 21600/49 (/ x (pow y 2))) (* 129600/49 (/ x (pow y 4)))))) (pow y 4))> |
#<alt (* 360/7 (/ x (pow y 4)))> |
#<alt (/ (+ (* -21600/49 (/ x (pow y 2))) (* 360/7 x)) (pow y 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1296000/343 x) (* 129600/49 x)) (pow y 4))) (* 360/7 x)) (* 21600/49 (/ x (pow y 2)))) (pow y 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -7776000/343 x) (* -60/7 (+ (* -1296000/343 x) (* 129600/49 x)))) (pow y 6))) (* 360/7 x)) (+ (* -1296000/343 (/ x (pow y 4))) (+ (* 21600/49 (/ x (pow y 2))) (* 129600/49 (/ x (pow y 4)))))) (pow y 4))> |
#<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 (* 7/360 (pow y 2)))))> |
#<alt (* 7/360 (pow y 4))> |
#<alt (* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* 7/360 (pow y 4))> |
#<alt (* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<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 1/6> |
#<alt (+ 1/6 (* 7/360 (pow y 2)))> |
#<alt (+ 1/6 (* 7/360 (pow y 2)))> |
#<alt (+ 1/6 (* 7/360 (pow y 2)))> |
#<alt (* 7/360 (pow y 2))> |
#<alt (* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 7/360 (pow y 2))> |
#<alt (* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))> |
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))> |
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 7/360 x))) (+ (* -7/2160 x) (* 31/15120 x))))) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))> |
#<alt (* 15120/31 (/ x (pow y 6)))> |
#<alt (/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6))> |
#<alt (* 15120/31 (/ x (pow y 6)))> |
#<alt (/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6))> |
#<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 (* 31/15120 (pow y 6))> |
#<alt (* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt (* 31/15120 (pow y 6))> |
#<alt (* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 7/360 (pow y 2)))> |
#<alt (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))> |
#<alt (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))> |
#<alt (* 31/15120 (pow y 4))> |
#<alt (* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))> |
#<alt (* 31/15120 (pow y 4))> |
#<alt (* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))> |
#<alt (* 7/360 y)> |
#<alt (* 7/360 y)> |
#<alt (* 7/360 y)> |
#<alt (* 7/360 y)> |
#<alt (* 7/360 y)> |
#<alt (* 7/360 y)> |
#<alt (* 7/360 y)> |
#<alt (* 7/360 y)> |
#<alt (* 7/360 y)> |
#<alt (* 7/360 y)> |
#<alt (* 7/360 y)> |
#<alt (* 7/360 y)> |
#<alt 7/360> |
#<alt (+ 7/360 (* 31/15120 (pow y 2)))> |
#<alt (+ 7/360 (* 31/15120 (pow y 2)))> |
#<alt (+ 7/360 (* 31/15120 (pow y 2)))> |
#<alt (* 31/15120 (pow y 2))> |
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* 31/15120 (pow y 2))> |
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* 7/360 y)> |
#<alt (* y (+ 7/360 (* 31/15120 (pow y 2))))> |
#<alt (* y (+ 7/360 (* 31/15120 (pow y 2))))> |
#<alt (* y (+ 7/360 (* 31/15120 (pow y 2))))> |
#<alt (* 31/15120 (pow y 3))> |
#<alt (* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* 31/15120 (pow y 3))> |
#<alt (* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | (* y -1/6) |
| 3.0ms | x | @ | -inf | (* x (* (/ 1 y) y)) |
| 1.0ms | x | @ | 0 | (/ x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1)) |
| 1.0ms | x | @ | 0 | (/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)) |
| 1.0ms | y | @ | inf | (/ x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1)) |
| 1× | batch-egg-rewrite |
| 7 248× | accelerator-lowering-fma.f32 |
| 7 248× | accelerator-lowering-fma.f64 |
| 4 224× | *-lowering-*.f32 |
| 4 224× | *-lowering-*.f64 |
| 3 802× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 153 |
| 1 | 202 | 149 |
| 2 | 1504 | 149 |
| 0 | 8307 | 132 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (sin y) y) (/ 1 x)) |
(/ (sin y) y) |
(sin y) |
(/ 1 x) |
(* x (+ (* y (* y -1/6)) 1)) |
(+ (* y (* y -1/6)) 1) |
(* y -1/6) |
(* (/ 1 y) y) |
(* x (* (/ 1 y) y)) |
(/ 1 y) |
(/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)) |
(+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1) |
(* y y) |
(+ (* y (* y 7/360)) 1/6) |
(/ x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1)) |
(+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1) |
(+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6) |
(* y 7/360) |
(+ (* (* y y) 31/15120) 7/360) |
(* y (+ (* (* y y) 31/15120) 7/360)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))) (/.f64 (sin.f64 y) (/.f64 y (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x))) |
(neg.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 x)))) |
(neg.f64 (*.f64 x (neg.f64 (/.f64 (sin.f64 y) y)))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 y x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) y)) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (neg.f64 (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) x))) y) |
(pow.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x)))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 x y) y) (/.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))) |
(-.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))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) y)) |
(/.f64 (sin.f64 y) y) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64))) y) |
(pow.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 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (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 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y))) |
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(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64))))) (-.f64 (*.f64 y #s(literal 7/360 binary64)) (*.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64)))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) y) |
(*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64))) (*.f64 y (*.f64 y y)) (*.f64 #s(literal 343/46656000 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64)))) (*.f64 y #s(literal 7/360 binary64))))))) |
(*.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))) (*.f64 #s(literal -7/360 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))) (*.f64 #s(literal -7/360 binary64) y)))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64)) #s(literal 343/46656000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) #s(literal -31/777600 binary64))))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal -49/129600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal -7/360 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64)) #s(literal 343/46656000 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) #s(literal -31/777600 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal -49/129600 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal -7/360 binary64)))) |
| 1× | egg-herbie |
| 15 698× | accelerator-lowering-fma.f32 |
| 15 698× | accelerator-lowering-fma.f64 |
| 5 754× | *-lowering-*.f32 |
| 5 754× | *-lowering-*.f64 |
| 2 362× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 2381 |
| 1 | 619 | 2357 |
| 2 | 1798 | 2261 |
| 3 | 5986 | 2260 |
| 0 | 8232 | 2073 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 |
(+ 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) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* 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) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(/ 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 (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x)))) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 7/360 x))) (* -7/2160 x)))) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x)))) |
(* 360/7 (/ x (pow y 4))) |
(/ (+ (* -21600/49 (/ x (pow y 2))) (* 360/7 x)) (pow y 4)) |
(/ (- (+ (* -1 (/ (+ (* -1296000/343 x) (* 129600/49 x)) (pow y 4))) (* 360/7 x)) (* 21600/49 (/ x (pow y 2)))) (pow y 4)) |
(/ (- (+ (* -1 (/ (+ (* -7776000/343 x) (* -60/7 (+ (* -1296000/343 x) (* 129600/49 x)))) (pow y 6))) (* 360/7 x)) (+ (* -1296000/343 (/ x (pow y 4))) (+ (* 21600/49 (/ x (pow y 2))) (* 129600/49 (/ x (pow y 4)))))) (pow y 4)) |
(* 360/7 (/ x (pow y 4))) |
(/ (+ (* -21600/49 (/ x (pow y 2))) (* 360/7 x)) (pow y 4)) |
(/ (- (+ (* -1 (/ (+ (* -1296000/343 x) (* 129600/49 x)) (pow y 4))) (* 360/7 x)) (* 21600/49 (/ x (pow y 2)))) (pow y 4)) |
(/ (- (+ (* -1 (/ (+ (* -7776000/343 x) (* -60/7 (+ (* -1296000/343 x) (* 129600/49 x)))) (pow y 6))) (* 360/7 x)) (+ (* -1296000/343 (/ x (pow y 4))) (+ (* 21600/49 (/ x (pow y 2))) (* 129600/49 (/ x (pow y 4)))))) (pow y 4)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(* 7/360 (pow y 4)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 7/360 (pow y 4)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(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) |
1/6 |
(+ 1/6 (* 7/360 (pow y 2))) |
(+ 1/6 (* 7/360 (pow y 2))) |
(+ 1/6 (* 7/360 (pow y 2))) |
(* 7/360 (pow y 2)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* 7/360 (pow y 2)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x)))) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 7/360 x))) (+ (* -7/2160 x) (* 31/15120 x))))) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x)))) |
(* 15120/31 (/ x (pow y 6))) |
(/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6)) |
(/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6)) |
(/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6)) |
(* 15120/31 (/ x (pow y 6))) |
(/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6)) |
(/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6)) |
(/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6)) |
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))))))) |
(* 31/15120 (pow y 6)) |
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 31/15120 (pow y 6)) |
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
1/6 |
(+ 1/6 (* 7/360 (pow y 2))) |
(+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))) |
(+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))) |
(* 31/15120 (pow y 4)) |
(* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(* 31/15120 (pow y 4)) |
(* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(* 7/360 y) |
(* 7/360 y) |
(* 7/360 y) |
(* 7/360 y) |
(* 7/360 y) |
(* 7/360 y) |
(* 7/360 y) |
(* 7/360 y) |
(* 7/360 y) |
(* 7/360 y) |
(* 7/360 y) |
(* 7/360 y) |
7/360 |
(+ 7/360 (* 31/15120 (pow y 2))) |
(+ 7/360 (* 31/15120 (pow y 2))) |
(+ 7/360 (* 31/15120 (pow y 2))) |
(* 31/15120 (pow y 2)) |
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* 31/15120 (pow y 2)) |
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* 7/360 y) |
(* y (+ 7/360 (* 31/15120 (pow y 2)))) |
(* y (+ 7/360 (* 31/15120 (pow y 2)))) |
(* y (+ 7/360 (* 31/15120 (pow y 2)))) |
(* 31/15120 (pow y 3)) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* 31/15120 (pow y 3)) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
| Outputs |
|---|
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 y (*.f64 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 y y) (fma.f64 (*.f64 y y) (*.f64 x (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 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 (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
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(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) |
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x)))) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 7/360 x))) (+ (* -7/2160 x) (* 31/15120 x))))) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x) |
(* 15120/31 (/ x (pow y 6))) |
(/.f64 (*.f64 x #s(literal 15120/31 binary64)) (pow.f64 y #s(literal 6 binary64))) |
(/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6)) |
(/.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -4445280/961 binary64) (*.f64 x #s(literal 15120/31 binary64))) (pow.f64 y #s(literal 6 binary64))) |
(/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6)) |
(/.f64 (fma.f64 x (-.f64 #s(literal 15120/31 binary64) (/.f64 #s(literal -125737920/29791 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -4445280/961 binary64))) (pow.f64 y #s(literal 6 binary64))) |
(/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6)) |
(/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 4115059200/29791 binary64) (*.f64 x #s(literal -36966948480/923521 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x #s(literal 15120/31 binary64) (fma.f64 (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 125737920/29791 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -4445280/961 binary64))))) (pow.f64 y #s(literal 6 binary64))) |
(* 15120/31 (/ x (pow y 6))) |
(/.f64 (*.f64 x #s(literal 15120/31 binary64)) (pow.f64 y #s(literal 6 binary64))) |
(/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6)) |
(/.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -4445280/961 binary64) (*.f64 x #s(literal 15120/31 binary64))) (pow.f64 y #s(literal 6 binary64))) |
(/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6)) |
(/.f64 (fma.f64 x (-.f64 #s(literal 15120/31 binary64) (/.f64 #s(literal -125737920/29791 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -4445280/961 binary64))) (pow.f64 y #s(literal 6 binary64))) |
(/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6)) |
(/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 4115059200/29791 binary64) (*.f64 x #s(literal -36966948480/923521 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x #s(literal 15120/31 binary64) (fma.f64 (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 125737920/29791 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -4445280/961 binary64))))) (pow.f64 y #s(literal 6 binary64))) |
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 y (*.f64 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 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 31/15120 (pow y 6)) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 31/15120 binary64)) |
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 y y)))) |
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) |
(* 31/15120 (pow y 6)) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 31/15120 binary64)) |
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 y y)))) |
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 7/360 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* 31/15120 (pow y 4)) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) |
(* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 y y)))) |
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (+.f64 #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (+.f64 #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(* 31/15120 (pow y 4)) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) |
(* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 y y)))) |
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (+.f64 #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (+.f64 #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
7/360 |
#s(literal 7/360 binary64) |
(+ 7/360 (* 31/15120 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(+ 7/360 (* 31/15120 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(+ 7/360 (* 31/15120 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* 31/15120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 31/15120 binary64)) |
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* 31/15120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 31/15120 binary64)) |
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* y (+ 7/360 (* 31/15120 (pow y 2)))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* y (+ 7/360 (* 31/15120 (pow y 2)))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* y (+ 7/360 (* 31/15120 (pow y 2)))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* 31/15120 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* 31/15120 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
Compiled 23 609 to 2 241 computations (90.5% saved)
31 alts after pruning (23 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 959 | 15 | 974 |
| Fresh | 2 | 8 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 963 | 31 | 994 |
| Status | Accuracy | Program |
|---|---|---|
| 45.4% | (fma.f64 (*.f64 y 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) | |
| ✓ | 45.3% | (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
| ▶ | 45.5% | (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) |
| 45.5% | (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) | |
| 45.5% | (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) | |
| ▶ | 45.4% | (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 99.5% | (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
| 25.3% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)) | |
| 45.0% | (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) | |
| ▶ | 38.0% | (/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) |
| ✓ | 92.2% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| 38.4% | (/.f64 (*.f64 x y) y) | |
| 14.3% | (/.f64 (*.f64 x #s(literal 360/7 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) | |
| 90.0% | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| 55.8% | (/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) #s(literal 1 binary64))) | |
| 56.3% | (/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| 56.3% | (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 99.7% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 81.3% | (/.f64 x (*.f64 y (/.f64 y (*.f64 y (sin.f64 y))))) | |
| 44.9% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x))) | |
| 45.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 89.2% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| 45.0% | (*.f64 (/.f64 x y) y) | |
| ▶ | 92.0% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
| 25.2% | (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x))) | |
| 45.5% | (*.f64 x (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) | |
| ✓ | 45.5% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | 99.7% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 45.9% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
| ▶ | 2.9% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
| ✓ | 46.0% | x |
Compiled 701 to 420 computations (40.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y y)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
| ✓ | cost-diff | 1024 | (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) |
| ✓ | cost-diff | 1088 | (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 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 | 0 | (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 y) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
| 34 146× | accelerator-lowering-fma.f32 |
| 34 146× | accelerator-lowering-fma.f64 |
| 5 368× | +-lowering-+.f64 |
| 5 368× | +-lowering-+.f32 |
| 5 010× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 136 |
| 1 | 66 | 128 |
| 2 | 132 | 128 |
| 3 | 221 | 128 |
| 4 | 425 | 126 |
| 5 | 918 | 126 |
| 6 | 2291 | 126 |
| 7 | 3004 | 126 |
| 8 | 4753 | 126 |
| 9 | 4825 | 126 |
| 10 | 4831 | 126 |
| 11 | 4831 | 126 |
| 12 | 5475 | 126 |
| 13 | 5679 | 126 |
| 14 | 5708 | 126 |
| 15 | 5736 | 126 |
| 16 | 5770 | 126 |
| 17 | 5806 | 126 |
| 18 | 5844 | 126 |
| 19 | 5884 | 126 |
| 20 | 5926 | 126 |
| 21 | 5970 | 126 |
| 22 | 6016 | 126 |
| 0 | 9508 | 119 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 y) (* (sin y) x)) |
(/ 1 y) |
1 |
y |
(* (sin y) x) |
(sin y) |
x |
(* x (* -1/6 (* y y))) |
x |
(* -1/6 (* y y)) |
-1/6 |
(* y y) |
y |
(+ (* (* y y) (* x -1/6)) x) |
(* y y) |
y |
(* x -1/6) |
x |
-1/6 |
(/ (* x (+ (* y (* -1/6 (* y y))) y)) y) |
(* x (+ (* y (* -1/6 (* y y))) y)) |
x |
(+ (* y (* -1/6 (* y y))) y) |
y |
(* -1/6 (* y y)) |
-1/6 |
(* y y) |
(/ (/ (+ (* -1/6 (* y (* y y))) y) y) (/ 1 x)) |
(/ (+ (* -1/6 (* y (* y y))) y) y) |
(+ (* -1/6 (* y (* y y))) y) |
-1/6 |
(* y (* y y)) |
y |
(* y y) |
(/ 1 x) |
1 |
x |
| Outputs |
|---|
(* (/ 1 y) (* (sin y) x)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(* (sin y) x) |
(*.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
x |
(* x (* -1/6 (* y y))) |
(*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) |
x |
(* -1/6 (* y y)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
-1/6 |
#s(literal -1/6 binary64) |
(* y y) |
(*.f64 y y) |
y |
(+ (* (* y y) (* x -1/6)) x) |
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) |
(* y y) |
(*.f64 y y) |
y |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
x |
-1/6 |
#s(literal -1/6 binary64) |
(/ (* x (+ (* y (* -1/6 (* y y))) y)) y) |
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ (* y (* -1/6 (* y y))) y)) |
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
x |
(+ (* y (* -1/6 (* y y))) y) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
y |
(* -1/6 (* y y)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
-1/6 |
#s(literal -1/6 binary64) |
(* y y) |
(*.f64 y y) |
(/ (/ (+ (* -1/6 (* y (* y y))) y) y) (/ 1 x)) |
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) |
(/ (+ (* -1/6 (* y (* y y))) y) y) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ (* -1/6 (* y (* y y))) y) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
-1/6 |
#s(literal -1/6 binary64) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
y |
(* y y) |
(*.f64 y y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 93.6% | (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 93.0% | (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) 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 | 97.4% | (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
| ✓ | accuracy | 85.2% | (/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 93.7% | (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| ✓ | accuracy | 89.6% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 y) x) |
| ✓ | accuracy | 92.1% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
| 61.0ms | 256× | 0 | valid |
Compiled 145 to 26 computations (82.1% saved)
ival-mult: 15.0ms (34.4% of total)ival-sin: 11.0ms (25.2% of total)ival-div: 8.0ms (18.4% of total)const: 5.0ms (11.5% of total)ival-add: 3.0ms (6.9% 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) x))> |
#<alt (/ 1 y)> |
#<alt (* (sin y) x)> |
#<alt (sin y)> |
#<alt (* x (* -1/6 (* y y)))> |
#<alt (* -1/6 (* y y))> |
#<alt (* y y)> |
#<alt (+ (* (* y y) (* x -1/6)) x)> |
#<alt (* x -1/6)> |
#<alt (/ (* x (+ (* y (* -1/6 (* y y))) y)) y)> |
#<alt (* x (+ (* y (* -1/6 (* y y))) y))> |
#<alt (+ (* y (* -1/6 (* y y))) y)> |
#<alt (/ (/ (+ (* -1/6 (* y (* y y))) y) y) (/ 1 x))> |
#<alt (/ (+ (* -1/6 (* y (* y y))) y) y)> |
#<alt (+ (* -1/6 (* y (* y y))) y)> |
#<alt (* y (* y y))> |
| Outputs |
|---|
#<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 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 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 (* 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 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 (* -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 (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> |
#<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 (* 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 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<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 (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* -1/6 (* x (pow y 3)))> |
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 3)))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))> |
#<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 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 (/ (* 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 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 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 (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | 0 | (* x (* -1/6 (* y y))) |
| 1.0ms | x | @ | 0 | (/ (* x (+ (* y (* -1/6 (* y y))) y)) y) |
| 1.0ms | y | @ | inf | (/ (* x (+ (* y (* -1/6 (* y y))) y)) y) |
| 1.0ms | y | @ | -inf | (/ (* x (+ (* y (* -1/6 (* y y))) y)) y) |
| 0.0ms | y | @ | 0 | (/ (* x (+ (* y (* -1/6 (* y y))) y)) y) |
| 1× | batch-egg-rewrite |
| 9 474× | accelerator-lowering-fma.f32 |
| 9 474× | accelerator-lowering-fma.f64 |
| 6 294× | *-lowering-*.f32 |
| 6 294× | *-lowering-*.f64 |
| 3 700× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 111 |
| 1 | 131 | 99 |
| 2 | 964 | 99 |
| 0 | 8443 | 92 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 y) (* (sin y) x)) |
(/ 1 y) |
(* (sin y) x) |
(sin y) |
(* x (* -1/6 (* y y))) |
(* -1/6 (* y y)) |
(* y y) |
(+ (* (* y y) (* x -1/6)) x) |
(* x -1/6) |
(/ (* x (+ (* y (* -1/6 (* y y))) y)) y) |
(* x (+ (* y (* -1/6 (* y y))) y)) |
(+ (* y (* -1/6 (* y y))) y) |
(/ (/ (+ (* -1/6 (* y (* y y))) y) y) (/ 1 x)) |
(/ (+ (* -1/6 (* y (* y y))) y) y) |
(+ (* -1/6 (* y (* y y))) y) |
(* y (* y y)) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 y) x))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.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 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 y x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) y) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 (/.f64 y x))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) y) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) x))) y) |
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 (/.f64 y x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) y)) (/.f64 #s(literal -1 binary64) x)) |
(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 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(*.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) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 y) x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(*.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 x)) |
(sin.f64 y) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 y (*.f64 y x)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y x)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x)) |
(*.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) y) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 y (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 y) (neg.f64 y)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(*.f64 y y) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(+.f64 x (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) x) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (*.f64 y (*.f64 y x)) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (+.f64 x (*.f64 (*.f64 y (*.f64 y x)) #s(literal 1/6 binary64))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) x) |
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))))) |
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x x) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x) |
(fma.f64 (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y x)) #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y (*.f64 y x)) #s(literal 1/6 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) y x) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (neg.f64 x) x) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (*.f64 x (fma.f64 x (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (neg.f64 x)))) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (*.f64 x (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
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(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) y) |
(*.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) y)) (*.f64 y (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) y))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1/1296 binary64) (*.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (fma.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 y (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))))) (*.f64 y (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))) |
(*.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) y)) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64))) (neg.f64 (*.f64 y (*.f64 y y))))) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) y) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) |
(/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 y y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) #s(literal -1 binary64)) |
(pow.f64 y #s(literal 3 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64)) |
(*.f64 y (*.f64 y y)) |
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y y) y) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 12 522× | accelerator-lowering-fma.f32 |
| 12 522× | accelerator-lowering-fma.f64 |
| 4 798× | *-lowering-*.f32 |
| 4 798× | *-lowering-*.f64 |
| 1 372× | neg-lowering-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 1864 |
| 1 | 241 | 1778 |
| 2 | 686 | 1770 |
| 3 | 2287 | 1766 |
| 4 | 5099 | 1766 |
| 0 | 8512 | 1637 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 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)) |
(* 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)) |
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))) |
(* -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)) |
(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 |
(+ 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)))) |
(* 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 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(/ (* 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)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 3))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
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))))) |
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)))) |
(/ (* 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) |
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)) |
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))))) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
| Outputs |
|---|
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 x (*.f64 y (*.f64 y (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 x (*.f64 y y)) (fma.f64 (*.f64 y 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)) |
(/ (* 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)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 y (fma.f64 x (*.f64 y (*.f64 y (fma.f64 (*.f64 y 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 x (*.f64 y y)) (fma.f64 (*.f64 y 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)) |
(* 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)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
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#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 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
Compiled 41 183 to 2 598 computations (93.7% saved)
36 alts after pruning (26 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 564 | 12 | 1 576 |
| Fresh | 4 | 14 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 8 | 8 |
| Total | 1 571 | 36 | 1 607 |
| Status | Accuracy | Program |
|---|---|---|
| 45.4% | (fma.f64 (*.f64 y 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) | |
| ✓ | 45.3% | (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
| 45.5% | (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) | |
| 15.3% | (/.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) y) | |
| ✓ | 99.5% | (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
| 45.2% | (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (neg.f64 y))) (/.f64 #s(literal 1 binary64) x)) | |
| 45.0% | (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) | |
| 22.0% | (/.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))))) x) (*.f64 (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) y)) | |
| ✓ | 38.0% | (/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) |
| 37.9% | (/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) y) | |
| ✓ | 92.2% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| 38.4% | (/.f64 (*.f64 x y) y) | |
| 14.3% | (/.f64 (*.f64 x #s(literal 360/7 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) | |
| 2.9% | (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) y) | |
| 90.0% | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| 55.8% | (/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) #s(literal 1 binary64))) | |
| 56.3% | (/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| 56.3% | (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 99.7% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 81.3% | (/.f64 x (*.f64 y (/.f64 y (*.f64 y (sin.f64 y))))) | |
| 45.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 89.2% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| 45.0% | (*.f64 (/.f64 x y) y) | |
| 37.9% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)) | |
| ✓ | 92.0% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
| 38.3% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) | |
| 2.9% | (*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64)) | |
| 2.9% | (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))) | |
| 2.9% | (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) | |
| 45.5% | (*.f64 x (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) | |
| ✓ | 45.5% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | 99.7% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 45.9% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
| 2.9% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))) | |
| 2.9% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))))) | |
| ✓ | 46.0% | x |
Compiled 1 100 to 461 computations (58.1% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64)) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 x y) y) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) y) |
(/.f64 (*.f64 x #s(literal 360/7 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) |
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)) |
(/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(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) |
(fma.f64 (*.f64 y 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) |
(/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) #s(literal 1 binary64))) |
(/.f64 x (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))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (neg.f64 y))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x))) |
(/.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))))) x) (*.f64 (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) y)) |
(/.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.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 (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 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)) |
(/.f64 x (*.f64 y (/.f64 y (*.f64 y (sin.f64 y))))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(/.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))) |
| Outputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
4 calls:
| 16.0ms | x |
| 15.0ms | y |
| 15.0ms | (/.f64 (sin.f64 y) y) |
| 14.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.7% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64)) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 x y) y) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) y) |
(/.f64 (*.f64 x #s(literal 360/7 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) |
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)) |
(/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(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) |
(fma.f64 (*.f64 y 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) |
(/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) #s(literal 1 binary64))) |
(/.f64 x (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))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (neg.f64 y))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x))) |
(/.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))))) x) (*.f64 (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) y)) |
(/.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.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 (sin.f64 y) x)) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 54.0ms | (/.f64 (sin.f64 y) y) |
| 24.0ms | x |
| 12.0ms | y |
| 12.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (/.f64 (sin.f64 y) y) |
| 99.7% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64)) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 x y) y) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) y) |
(/.f64 (*.f64 x #s(literal 360/7 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) |
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x)) |
(/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(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) |
(fma.f64 (*.f64 y 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) |
(/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) #s(literal 1 binary64))) |
(/.f64 x (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))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (neg.f64 y))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x))) |
(/.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))))) x) (*.f64 (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) y)) |
(/.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) y) |
| Outputs |
|---|
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
4 calls:
| 12.0ms | (/.f64 (sin.f64 y) y) |
| 12.0ms | y |
| 11.0ms | x |
| 11.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.3% | 1 | x |
| 56.3% | 1 | y |
| 56.3% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 56.3% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64)) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 x y) y) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
4 calls:
| 6.0ms | y |
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 5.0ms | x |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 2 | y |
| 55.8% | 2 | (/.f64 (sin.f64 y) y) |
| 55.7% | 2 | x |
| 55.5% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 20 to 13 computations (35% saved)
Total -28.1b remaining (-81.3%)
Threshold costs -28.1b (-81.3%)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64)) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
x |
4 calls:
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| 3.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 46.0% | 1 | x |
| 46.0% | 1 | (/.f64 (sin.f64 y) y) |
| 46.0% | 1 | y |
Compiled 20 to 13 computations (35% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 347294153760.2702 | 2697187888002637.5 |
| 10.0ms | 128× | 0 | valid |
Compiled 163 to 114 computations (30.1% saved)
ival-sin: 5.0ms (73.5% of total)ival-div: 1.0ms (14.7% of total)ival-mult: 1.0ms (14.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 38 |
| 1 | 29 | 38 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal 1200000000000000 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 y (sin.f64 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal 1200000000000000 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 1200000000000000 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 y (/.f64 x y))) |
x |
| 17 320× | accelerator-lowering-fma.f32 |
| 17 320× | accelerator-lowering-fma.f64 |
| 16 120× | accelerator-lowering-fma.f32 |
| 16 120× | accelerator-lowering-fma.f64 |
| 7 248× | accelerator-lowering-fma.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 |
| 0 | 5 | 12 |
| 1 | 16 | 12 |
| 2 | 69 | 12 |
| 3 | 331 | 12 |
| 0 | 1793 | 12 |
| 0 | 33 | 153 |
| 1 | 202 | 149 |
| 2 | 1504 | 149 |
| 0 | 8307 | 132 |
| 0 | 110 | 1741 |
| 1 | 315 | 1697 |
| 2 | 842 | 1671 |
| 3 | 2704 | 1661 |
| 4 | 5753 | 1661 |
| 0 | 8668 | 1541 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 97 to 59 computations (39.2% saved)
(negabs x)
(abs y)
Compiled 160 to 92 computations (42.5% saved)
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