
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)
| 577.0ms | 8 256× | 0 | valid |
ival-sin: 247.0ms (65.8% of total)ival-div: 64.0ms (17% of total)ival-mult: 56.0ms (14.9% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% 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 |
| 47.0ms | 512× | 0 | valid |
Compiled 48 to 24 computations (50% saved)
ival-sin: 20.0ms (73.3% of total)ival-div: 4.0ms (14.7% of total)ival-mult: 3.0ms (11% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 y) y) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 12× | *-lowering-*.f32 |
| 12× | *-lowering-*.f64 |
| 6× | *-commutative |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 1 | 8 | 14 |
| 2 | 10 | 14 |
| 3 | 12 | 14 |
| 4 | 13 | 14 |
| 0 | 13 | 14 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (/ (sin y) y)) |
x |
(/ (sin y) y) |
(sin y) |
y |
| Outputs |
|---|
(* x (/ (sin y) y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) y) |
| 18.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sin: 7.0ms (62.8% of total)ival-div: 3.0ms (26.9% of total)ival-mult: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (/ (sin y) y))> |
#<alt (/ (sin y) y)> |
#<alt (sin y)> |
| Outputs |
|---|
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | 0 | (* x (/ (sin y) y)) |
| 1.0ms | y | @ | inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | -inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | inf | (* x (/ (sin y) y)) |
| 1× | batch-egg-rewrite |
| 836× | *-lowering-*.f32 |
| 836× | *-lowering-*.f64 |
| 718× | /-lowering-/.f32 |
| 718× | /-lowering-/.f64 |
| 220× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 1 | 16 | 12 |
| 2 | 69 | 12 |
| 3 | 331 | 12 |
| 0 | 1793 | 12 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (sin y) y)) |
(/ (sin y) y) |
(sin y) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64)) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) 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) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y)) |
(fma.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (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)))) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.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) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 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 0 binary64) y) (sin.f64 y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) y))) (-.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 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 x (-.f64 #s(literal 0 binary64) 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) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.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 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) (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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) 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) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) y) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) 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 0 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 0 binary64) y) (sin.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (sin.f64 y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sin.f64 y)))) (*.f64 (-.f64 #s(literal 0 binary64) y) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (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)))) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (-.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) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.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) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 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 0 binary64) y) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (-.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 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (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) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) 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) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (-.f64 #s(literal 0 binary64) y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) y)))) |
(sin.f64 y) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(neg.f64 (sin.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 #s(literal 0 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 0 binary64) (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 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (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)))) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 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 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 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 (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 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)))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(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 2 347 to 438 computations (81.3% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 191 | 10 | 201 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 191 | 11 | 202 |
| Status | Accuracy | Program |
|---|---|---|
| 87.2% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) | |
| 54.5% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.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) (-.f64 #s(literal 0 binary64) y))) | |
| ▶ | 87.9% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| ▶ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 88.0% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| ▶ | 87.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
| 47.4% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 47.4% | (*.f64 x (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) | |
| ▶ | 48.6% | x |
Compiled 216 to 145 computations (32.9% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 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 -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y)) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 y (sin.f64 y)) |
| ✓ | cost-diff | 384 | (/.f64 x (/.f64 y (sin.f64 y))) |
| 4 864× | accelerator-lowering-fma.f32 |
| 4 864× | accelerator-lowering-fma.f64 |
| 3 448× | *-lowering-*.f32 |
| 3 448× | *-lowering-*.f64 |
| 3 158× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 98 |
| 1 | 46 | 98 |
| 2 | 95 | 88 |
| 3 | 272 | 84 |
| 4 | 495 | 84 |
| 5 | 933 | 84 |
| 6 | 2310 | 84 |
| 7 | 5091 | 84 |
| 8 | 5491 | 84 |
| 9 | 5681 | 84 |
| 10 | 5727 | 84 |
| 11 | 5769 | 84 |
| 12 | 7418 | 84 |
| 13 | 7762 | 84 |
| 0 | 8009 | 80 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (/ y (sin y))) |
x |
(/ y (sin y)) |
y |
(sin y) |
x |
(* x (/ (* y (+ (* y (* y -1/6)) 1)) y)) |
x |
(/ (* y (+ (* y (* y -1/6)) 1)) y) |
(* y (+ (* y (* y -1/6)) 1)) |
y |
(+ (* y (* y -1/6)) 1) |
(* y -1/6) |
-1/6 |
1 |
(/ (* x (sin y)) y) |
(* x (sin y)) |
x |
(sin y) |
y |
(* (/ 1 y) (* x (sin y))) |
(/ 1 y) |
1 |
y |
(* x (sin y)) |
x |
(sin 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 |
(* x (/ (* y (+ (* y (* y -1/6)) 1)) y)) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
x |
(/ (* y (+ (* y (* y -1/6)) 1)) y) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* y (+ (* y (* y -1/6)) 1)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
y |
(+ (* y (* y -1/6)) 1) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* y -1/6) |
(*.f64 y #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 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 |
(* (/ 1 y) (* x (sin y))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
x |
(sin y) |
(sin.f64 y) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| ✓ | accuracy | 87.9% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| ✓ | accuracy | 88.0% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 91.3% | (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y) |
| ✓ | accuracy | 90.8% | (*.f64 x (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| ✓ | accuracy | 99.7% | (/.f64 y (sin.f64 y)) |
| 55.0ms | 256× | 0 | valid |
Compiled 94 to 19 computations (79.8% saved)
ival-div: 8.0ms (27.6% of total)ival-mult: 8.0ms (27.6% of total)ival-sin: 7.0ms (24.1% of total)const: 4.0ms (13.8% of total)ival-add: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ x (/ y (sin y)))> |
#<alt (/ y (sin y))> |
#<alt (sin y)> |
#<alt (/ (* y (+ (* y (* y -1/6)) 1)) y)> |
#<alt (* x (/ (* y (+ (* y (* y -1/6)) 1)) y))> |
#<alt (* y (+ (* y (* y -1/6)) 1))> |
#<alt (+ (* y (* y -1/6)) 1)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (* x (sin y))> |
#<alt (* (/ 1 y) (* x (sin y)))> |
#<alt (/ 1 y)> |
#<alt (* y -1/6)> |
| 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 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 (* 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 y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt 1> |
#<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 (/ (* 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 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 (* -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)> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* x (/ (* y (+ (* y (* y -1/6)) 1)) y)) |
| 0.0ms | y | @ | inf | (/ (* y (+ (* y (* y -1/6)) 1)) y) |
| 0.0ms | y | @ | -inf | (/ y (sin y)) |
| 0.0ms | y | @ | inf | (/ y (sin y)) |
| 0.0ms | x | @ | inf | (* x (/ (* y (+ (* y (* y -1/6)) 1)) y)) |
| 1× | batch-egg-rewrite |
| 6 080× | *-lowering-*.f32 |
| 6 080× | *-lowering-*.f64 |
| 4 058× | /-lowering-/.f32 |
| 4 058× | /-lowering-/.f64 |
| 3 278× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 78 |
| 1 | 88 | 78 |
| 2 | 498 | 64 |
| 3 | 4021 | 64 |
| 0 | 9558 | 60 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (/ y (sin y))) |
(/ y (sin y)) |
(sin y) |
(/ (* y (+ (* y (* y -1/6)) 1)) y) |
(* x (/ (* y (+ (* y (* y -1/6)) 1)) y)) |
(* y (+ (* y (* y -1/6)) 1)) |
(+ (* y (* y -1/6)) 1) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* (/ 1 y) (* x (sin y))) |
(/ 1 y) |
(* y -1/6) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (sin.f64 y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) |
(/.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 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) y) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) y) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) (*.f64 (-.f64 #s(literal 0 binary64) y) x)) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x (sin.f64 y)))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))))) (*.f64 (-.f64 #s(literal 0 binary64) y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x y))) (/.f64 y (sin.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (-.f64 #s(literal 0 binary64) y)))) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (sin.f64 y)))) |
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(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) y) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) y) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) (*.f64 (-.f64 #s(literal 0 binary64) y) x)) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x (sin.f64 y)))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))))) (*.f64 (-.f64 #s(literal 0 binary64) y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x y))) (/.f64 y (sin.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (-.f64 #s(literal 0 binary64) y)))) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) (*.f64 (-.f64 #s(literal 0 binary64) y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) x)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 x (-.f64 #s(literal 0 binary64) y)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) y)) |
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 x (sin.f64 y))) (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (sin.f64 y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.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)) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) 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 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 y))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal -1/2 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) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 y #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64)) (log.f64 y)) |
(*.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 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 y #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64))) |
| 1× | egg-herbie |
| 10 366× | accelerator-lowering-fma.f32 |
| 10 366× | accelerator-lowering-fma.f64 |
| 4 894× | *-lowering-*.f32 |
| 4 894× | *-lowering-*.f64 |
| 2 054× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 1306 |
| 1 | 229 | 1282 |
| 2 | 613 | 1264 |
| 3 | 1859 | 1256 |
| 4 | 5563 | 1256 |
| 0 | 8352 | 1172 |
| 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) |
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)) |
(* 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)))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
1 |
(+ 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)) |
(/ (* 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)) |
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) |
(* -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) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
1 |
#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 y (*.f64 y #s(literal -1/6 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)) |
(* (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 y (*.f64 y #s(literal -1/6 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)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -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 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -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 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
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 (* -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 y (*.f64 y #s(literal -1/6 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)) |
(* (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 y (*.f64 y #s(literal -1/6 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)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) |
(* x (sin y)) |
(*.f64 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 |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ 1 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) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
Compiled 24 353 to 2 383 computations (90.2% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 198 | 21 | 1 219 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 201 | 29 | 1 230 |
| Status | Accuracy | Program |
|---|---|---|
| 54.5% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.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) (-.f64 #s(literal 0 binary64) y))) | |
| ✓ | 87.9% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| ▶ | 35.6% | (/.f64 (*.f64 x y) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| 36.7% | (/.f64 (*.f64 x y) y) | |
| 88.6% | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| 62.7% | (/.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))) | |
| 62.9% | (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 47.4% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 47.4% | (+.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) x) | |
| 35.5% | (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) y) (*.f64 x y)) | |
| 88.0% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| 35.5% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 x y))) | |
| ✓ | 87.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
| 36.6% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) | |
| 47.4% | (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| 46.6% | (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/216 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) | |
| 46.6% | (*.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)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 47.4% | (*.f64 x (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y) y)) | |
| ▶ | 46.8% | (*.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) y)) |
| 47.3% | (*.f64 x (/.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) y)) | |
| 46.6% | (*.f64 x (/.f64 (*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) y)) | |
| 47.4% | (*.f64 x (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) #s(literal 1 binary64))) y)) | |
| 47.3% | (*.f64 x (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)))) y)) | |
| ▶ | 3.0% | (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| ▶ | 3.0% | (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
| ✓ | 48.6% | x |
Compiled 827 to 500 computations (39.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 64 | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 64 | (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 640 | (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 1024 | (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) y) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 1408 | (/.f64 (*.f64 x y) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | -64 | (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | -64 | (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 1088 | (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) |
| ✓ | cost-diff | -64 | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
| 6 436× | accelerator-lowering-fma.f32 |
| 6 436× | accelerator-lowering-fma.f64 |
| 4 230× | *-lowering-*.f32 |
| 4 230× | *-lowering-*.f64 |
| 1 888× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 233 |
| 1 | 75 | 221 |
| 2 | 194 | 195 |
| 3 | 524 | 187 |
| 4 | 1564 | 187 |
| 5 | 2857 | 187 |
| 6 | 3657 | 187 |
| 7 | 6387 | 187 |
| 0 | 8252 | 175 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* (/ 1 y) (sin y))) |
x |
(* (/ 1 y) (sin y)) |
(/ 1 y) |
1 |
y |
(sin y) |
(* x (* y (* y -1/6))) |
x |
(* y (* y -1/6)) |
y |
(* y -1/6) |
-1/6 |
(* x (/ (* y (* y (* y -1/6))) y)) |
x |
(/ (* y (* y (* y -1/6))) y) |
(* y (* y (* y -1/6))) |
y |
(* y (* y -1/6)) |
(* y -1/6) |
-1/6 |
(/ (* x y) (/ y (+ (* y (* y -1/6)) 1))) |
(* x y) |
x |
y |
(/ y (+ (* y (* y -1/6)) 1)) |
(+ (* y (* y -1/6)) 1) |
(* y -1/6) |
-1/6 |
1 |
(* x (/ (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) y)) |
x |
(/ (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) y) |
(/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) |
(+ (* (* y y) (* (* y y) 1/36)) -1) |
(* y y) |
y |
(* (* y y) 1/36) |
1/36 |
-1 |
(* (+ (* y (* y -1/6)) -1) (/ 1 y)) |
(+ (* y (* y -1/6)) -1) |
(* y -1/6) |
-1/6 |
(/ 1 y) |
1 |
| Outputs |
|---|
(* x (* (/ 1 y) (sin y))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(* (/ 1 y) (sin y)) |
(/.f64 (sin.f64 y) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(sin y) |
(sin.f64 y) |
(* x (* y (* y -1/6))) |
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* y (* y -1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 0 binary64)) |
y |
(* y -1/6) |
(fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* x (/ (* y (* y (* y -1/6))) y)) |
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(/ (* y (* y (* y -1/6))) y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(* y (* y (* y -1/6))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) |
y |
(* y (* y -1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(* y -1/6) |
(fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(/ (* x y) (/ y (+ (* y (* y -1/6)) 1))) |
(*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(* x y) |
(*.f64 x y) |
x |
y |
(/ y (+ (* y (* y -1/6)) 1)) |
(/.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(+ (* y (* y -1/6)) 1) |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* y -1/6) |
(fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(* x (/ (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
x |
(/ (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) y) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(+ (* (* y y) (* (* y y) 1/36)) -1) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) |
(* y y) |
(*.f64 y y) |
y |
(* (* y y) 1/36) |
(*.f64 (*.f64 y y) #s(literal 1/36 binary64)) |
1/36 |
#s(literal 1/36 binary64) |
-1 |
#s(literal -1 binary64) |
(* (+ (* y (* y -1/6)) -1) (/ 1 y)) |
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)) |
(+ (* y (* y -1/6)) -1) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(* y -1/6) |
(fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 96.7% | (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 91.3% | (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) y) |
| ✓ | accuracy | 90.8% | (*.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) y)) |
| ✓ | accuracy | 73.6% | (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 88.0% | (/.f64 (*.f64 x y) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 73.7% | (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 84.2% | (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)) |
| ✓ | accuracy | 82.0% | (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 84.2% | (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
| 71.0ms | 256× | 0 | valid |
Compiled 231 to 31 computations (86.6% saved)
ival-mult: 18.0ms (37.5% of total)ival-div: 11.0ms (22.9% of total)ival-sin: 8.0ms (16.7% of total)const: 7.0ms (14.6% of total)ival-add: 3.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1 y) (sin y))> |
#<alt (* x (* (/ 1 y) (sin y)))> |
#<alt (/ 1 y)> |
#<alt (sin y)> |
#<alt (* y (* y -1/6))> |
#<alt (* x (* y (* y -1/6)))> |
#<alt (* y -1/6)> |
#<alt (/ (* y (* y (* y -1/6))) y)> |
#<alt (* x (/ (* y (* y (* y -1/6))) y))> |
#<alt (* y (* y (* y -1/6)))> |
#<alt (/ (* x y) (/ y (+ (* y (* y -1/6)) 1)))> |
#<alt (* x y)> |
#<alt (/ y (+ (* y (* y -1/6)) 1))> |
#<alt (+ (* y (* y -1/6)) 1)> |
#<alt (/ (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) y)> |
#<alt (* (+ (* y (* y -1/6)) -1) (/ 1 y))> |
#<alt (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y)))> |
#<alt (+ (* y (* y -1/6)) -1)> |
#<alt (* x (/ (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) y))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ 1 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 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 (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 (* 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 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 (* -1/6 (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 (* -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 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* 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 (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt y> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2))))))))> |
#<alt (/ -6 y)> |
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) y))> |
#<alt (/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) y)> |
#<alt (/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) y)> |
#<alt (/ -6 y)> |
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) y))> |
#<alt (* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (/ 216 (pow y 4)))) y))> |
#<alt (* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (+ (* 1296 (/ 1 (pow y 6))) (/ 216 (pow y 4))))) 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 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 y)> |
#<alt (/ (- (* -1/6 (pow y 2)) 1) y)> |
#<alt (/ (- (* -1/6 (pow y 2)) 1) y)> |
#<alt (/ (- (* -1/6 (pow y 2)) 1) y)> |
#<alt (* -1/6 y)> |
#<alt (* -1 (* y (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* y (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* y (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1/6 y)> |
#<alt (* -1 (* y (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* y (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* y (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt -1> |
#<alt (- (* -1/6 (pow y 2)) 1)> |
#<alt (- (* -1/6 (pow y 2)) 1)> |
#<alt (- (* -1/6 (pow y 2)) 1)> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))> |
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))> |
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))> |
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))> |
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))> |
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))> |
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))> |
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))> |
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))> |
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))> |
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))> |
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))> |
#<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))))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/ (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) y) |
| 2.0ms | y | @ | 0 | (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) |
| 2.0ms | x | @ | 0 | (* x (/ (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) y)) |
| 1.0ms | x | @ | inf | (* x (/ (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) y)) |
| 1.0ms | y | @ | inf | (* x (/ (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) y)) |
| 1× | batch-egg-rewrite |
| 10 854× | accelerator-lowering-fma.f32 |
| 10 854× | accelerator-lowering-fma.f64 |
| 5 680× | *-lowering-*.f32 |
| 5 680× | *-lowering-*.f64 |
| 3 218× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 142 |
| 1 | 147 | 126 |
| 2 | 1176 | 112 |
| 0 | 8964 | 104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 y) (sin y)) |
(* x (* (/ 1 y) (sin y))) |
(/ 1 y) |
(sin y) |
(* y (* y -1/6)) |
(* x (* y (* y -1/6))) |
(* y -1/6) |
(/ (* y (* y (* y -1/6))) y) |
(* x (/ (* y (* y (* y -1/6))) y)) |
(* y (* y (* y -1/6))) |
(/ (* x y) (/ y (+ (* y (* y -1/6)) 1))) |
(* x y) |
(/ y (+ (* y (* y -1/6)) 1)) |
(+ (* y (* y -1/6)) 1) |
(/ (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) y) |
(* (+ (* y (* y -1/6)) -1) (/ 1 y)) |
(/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) |
(+ (* y (* y -1/6)) -1) |
(* x (/ (/ (+ (* (* y y) (* (* y y) 1/36)) -1) (* (+ (* y (* y -1/6)) -1) (/ 1 y))) y)) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))) |
(neg.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))) |
(/.f64 (sin.f64 y) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y))) y) |
(pow.f64 (/.f64 y (sin.f64 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) (/.f64 (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 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 y) x))) |
(neg.f64 (*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x #s(literal 1 binary64))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.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 (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 (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(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 #s(literal 1 binary64) (/.f64 (*.f64 y y) y)) |
(/.f64 y (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(pow.f64 y #s(literal -1 binary64)) |
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(*.f64 (/.f64 y (/.f64 y (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)))) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (/.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64))) y) (/.f64 (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 x (/.f64 y (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)))) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (/.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/36 binary64)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/36 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)))) (/.f64 (/.f64 x y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 x y) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))) |
(*.f64 (/.f64 x (/.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 y x) (/.f64 y (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (/.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (*.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (*.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y x))) (-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (*.f64 (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) x) y) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 13 030× | accelerator-lowering-fma.f32 |
| 13 030× | accelerator-lowering-fma.f64 |
| 4 344× | *-lowering-*.f32 |
| 4 344× | *-lowering-*.f64 |
| 3 340× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 2022 |
| 1 | 357 | 1992 |
| 2 | 979 | 1983 |
| 3 | 2798 | 1962 |
| 4 | 7802 | 1962 |
| 0 | 8204 | 1839 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 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 (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 (* 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 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) |
(* -1/6 (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)) |
(* -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 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* 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)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2)))))))) |
(/ -6 y) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) y)) |
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) y) |
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) y) |
(/ -6 y) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) y)) |
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (/ 216 (pow y 4)))) y)) |
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (+ (* 1296 (/ 1 (pow y 6))) (/ 216 (pow y 4))))) 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)) |
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 y) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(* -1/6 y) |
(* -1 (* y (+ 1/6 (/ 1 (pow y 2))))) |
(* -1 (* y (+ 1/6 (/ 1 (pow y 2))))) |
(* -1 (* y (+ 1/6 (/ 1 (pow y 2))))) |
(* -1/6 y) |
(* -1 (* y (+ 1/6 (/ 1 (pow y 2))))) |
(* -1 (* y (+ 1/6 (/ 1 (pow y 2))))) |
(* -1 (* y (+ 1/6 (/ 1 (pow y 2))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
-1 |
(- (* -1/6 (pow y 2)) 1) |
(- (* -1/6 (pow y 2)) 1) |
(- (* -1/6 (pow y 2)) 1) |
(* -1/6 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
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)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
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(/.f64 #s(literal -6 binary64) y) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) y)) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) y) |
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) y) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -36 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y y))) (*.f64 y y))) y) |
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) y) |
(/.f64 (+.f64 #s(literal -6 binary64) (+.f64 (/.f64 (+.f64 #s(literal -216 binary64) (/.f64 #s(literal -1296 binary64) (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) y) |
(/ -6 y) |
(/.f64 #s(literal -6 binary64) y) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) y)) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) y) |
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (/ 216 (pow y 4)))) y)) |
(/.f64 (+.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal -36 binary64) (*.f64 y y)) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) y) |
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (+ (* 1296 (/ 1 (pow y 6))) (/ 216 (pow y 4))))) y)) |
(/.f64 (+.f64 (+.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal -36 binary64) (*.f64 y y)) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64)))) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -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)) |
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 (* -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)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1 (* y (+ 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) |
(* -1 (* y (+ 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) |
(* -1 (* y (+ 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1 (* y (+ 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) |
(* -1 (* y (+ 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) |
(* -1 (* y (+ 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -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 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -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 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1/6 (pow y 2)) 1) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(- (* -1/6 (pow y 2)) 1) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(- (* -1/6 (pow y 2)) 1) |
(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)) |
(* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(* -1 (* (pow y 2) (+ 1/6 (/ 1 (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)) |
(* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(* -1 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y x))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y x))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
Compiled 51 500 to 4 912 computations (90.5% saved)
36 alts after pruning (29 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 206 | 21 | 2 227 |
| Fresh | 11 | 8 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 2 220 | 36 | 2 256 |
| Status | Accuracy | Program |
|---|---|---|
| 47.5% | (fma.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64) x) | |
| 54.5% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.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) (-.f64 #s(literal 0 binary64) y))) | |
| 3.0% | (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) | |
| 3.0% | (/.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y)) | |
| ✓ | 87.9% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| 35.6% | (/.f64 (*.f64 x y) (/.f64 y (fma.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/6 binary64))) y) #s(literal 1 binary64)))) | |
| 35.0% | (/.f64 (*.f64 x y) (/.f64 y (*.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y))))) | |
| 50.6% | (/.f64 (*.f64 x y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 36.7% | (/.f64 (*.f64 x y) y) | |
| ▶ | 88.6% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| ▶ | 62.7% | (/.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))) |
| 62.9% | (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 47.4% | (+.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) x) | |
| 35.5% | (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))) | |
| 35.1% | (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 x y) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) | |
| 88.0% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| ✓ | 87.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
| ▶ | 36.6% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
| 3.0% | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) | |
| 47.9% | (*.f64 x (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))) | |
| 46.5% | (*.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y)) | |
| 26.6% | (*.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 y (*.f64 y y)))) y)) | |
| 3.0% | (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))) y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 47.4% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| ▶ | 46.6% | (*.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
| 46.8% | (*.f64 x (*.f64 (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))) | |
| ✓ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 48.5% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) | |
| 3.0% | (*.f64 x (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) y))) | |
| 3.0% | (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) | |
| 3.0% | (*.f64 x (*.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) #s(literal -1/6 binary64)))) | |
| ✓ | 3.0% | (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
| ▶ | 3.0% | (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
| ✓ | 48.6% | x |
Compiled 1 048 to 625 computations (40.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
| ✓ | cost-diff | 1088 | (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 3072 | (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 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 x y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 1344 | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y y) x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 384 | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 9 764× | accelerator-lowering-fma.f32 |
| 9 764× | accelerator-lowering-fma.f64 |
| 5 254× | *-lowering-*.f32 |
| 5 254× | *-lowering-*.f64 |
| 2 976× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 229 |
| 1 | 85 | 223 |
| 2 | 234 | 161 |
| 3 | 698 | 157 |
| 4 | 3666 | 157 |
| 5 | 5293 | 157 |
| 0 | 8468 | 147 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin y) (/ y x)) |
(sin y) |
y |
(/ y x) |
x |
(* -1/6 (* (* y y) x)) |
-1/6 |
(* (* y y) x) |
(* y y) |
y |
x |
(* (/ 1 y) (* x y)) |
(/ 1 y) |
1 |
y |
(* x y) |
x |
(/ 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 -1/6)) 1) (* y (+ (* y (* y -1/6)) -1))) (/ (+ (* y (* y -1/6)) -1) (/ 1 y)))) |
x |
(* (/ (+ (* y (* y -1/6)) 1) (* y (+ (* y (* y -1/6)) -1))) (/ (+ (* y (* y -1/6)) -1) (/ 1 y))) |
(/ (+ (* y (* y -1/6)) 1) (* y (+ (* y (* y -1/6)) -1))) |
(+ (* y (* y -1/6)) 1) |
y |
(* y -1/6) |
-1/6 |
1 |
(* y (+ (* y (* y -1/6)) -1)) |
(+ (* y (* y -1/6)) -1) |
-1 |
(/ (+ (* y (* y -1/6)) -1) (/ 1 y)) |
(/ 1 y) |
| Outputs |
|---|
(/ (sin y) (/ y x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(sin y) |
(sin.f64 y) |
y |
(/ y x) |
(/.f64 y x) |
x |
(* -1/6 (* (* y y) x)) |
(*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) |
-1/6 |
#s(literal -1/6 binary64) |
(* (* y y) x) |
(*.f64 y (*.f64 y x)) |
(* y y) |
(*.f64 y y) |
y |
x |
(* (/ 1 y) (* x y)) |
x |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(* x y) |
(*.f64 y x) |
x |
(/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)) |
(/.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))) |
x |
(+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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 y (*.f64 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 -1/6)) 1) (* y (+ (* y (* y -1/6)) -1))) (/ (+ (* y (* y -1/6)) -1) (/ 1 y)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
x |
(* (/ (+ (* y (* y -1/6)) 1) (* y (+ (* y (* y -1/6)) -1))) (/ (+ (* y (* y -1/6)) -1) (/ 1 y))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(/ (+ (* y (* y -1/6)) 1) (* y (+ (* y (* y -1/6)) -1))) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(+ (* 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) |
(* y (+ (* y (* y -1/6)) -1)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(+ (* y (* y -1/6)) -1) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(/ (+ (* y (* y -1/6)) -1) (/ 1 y)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 91.2% | (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 90.8% | (*.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
| ✓ | accuracy | 63.4% | (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #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 | 97.4% | (/.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 y) |
| ✓ | accuracy | 74.5% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
| ✓ | accuracy | 84.1% | (*.f64 (*.f64 y y) x) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 88.6% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 72.0ms | 256× | 0 | valid |
Compiled 200 to 33 computations (83.5% saved)
ival-mult: 22.0ms (42.1% of total)ival-div: 9.0ms (17.2% of total)const: 9.0ms (17.2% of total)ival-sin: 7.0ms (13.4% of total)ival-add: 4.0ms (7.6% 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 x))> |
#<alt (sin y)> |
#<alt (/ y x)> |
#<alt (* -1/6 (* (* y y) x))> |
#<alt (* (* y y) x)> |
#<alt (* y y)> |
#<alt (* (/ 1 y) (* x y))> |
#<alt (/ 1 y)> |
#<alt (* x 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 7/360)) 1/6)> |
#<alt (* (/ (+ (* y (* y -1/6)) 1) (* y (+ (* y (* y -1/6)) -1))) (/ (+ (* y (* y -1/6)) -1) (/ 1 y)))> |
#<alt (/ (+ (* y (* y -1/6)) -1) (/ 1 y))> |
#<alt (* x (* (/ (+ (* y (* y -1/6)) 1) (* y (+ (* y (* y -1/6)) -1))) (/ (+ (* y (* y -1/6)) -1) (/ 1 y))))> |
#<alt (/ (+ (* y (* y -1/6)) 1) (* y (+ (* y (* y -1/6)) -1)))> |
#<alt (* y 7/360)> |
#<alt (* y -1/6)> |
| 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 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 (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt x> |
#<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 y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (/ x (+ 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 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 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 y)> |
#<alt (* y (- (* -1/6 (pow y 2)) 1))> |
#<alt (* y (- (* -1/6 (pow y 2)) 1))> |
#<alt (* y (- (* -1/6 (pow y 2)) 1))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1/6 (pow y 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 (+ 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 y)> |
#<alt (/ (- (* 1/3 (pow y 2)) 1) y)> |
#<alt (/ (- (* (pow y 2) (+ 1/3 (* -1/18 (pow y 2)))) 1) y)> |
#<alt (/ (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/108 (pow y 2)) 1/18)))) 1) y)> |
#<alt (/ 1 y)> |
#<alt (/ (- 1 (* 12 (/ 1 (pow y 2)))) y)> |
#<alt (/ (- (+ 1 (/ 72 (pow y 4))) (* 12 (/ 1 (pow y 2)))) y)> |
#<alt (/ (- (+ 1 (/ 72 (pow y 4))) (+ (* 12 (/ 1 (pow y 2))) (* 432 (/ 1 (pow y 6))))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (* 12 (/ 1 (pow y 2))) 1) y))> |
#<alt (* -1 (/ (- (* 12 (/ 1 (pow y 2))) (+ 1 (/ 72 (pow y 4)))) y))> |
#<alt (* -1 (/ (- (+ (* 12 (/ 1 (pow y 2))) (* 432 (/ 1 (pow y 6)))) (+ 1 (/ 72 (pow y 4)))) 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 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 (* -1/6 y)> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (/ (+ (* y (* y -1/6)) 1) (* y (+ (* y (* y -1/6)) -1))) |
| 1.0ms | x | @ | 0 | (/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)) |
| 1.0ms | x | @ | inf | (/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)) |
| 1.0ms | y | @ | inf | (/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)) |
| 1.0ms | x | @ | -inf | (/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)) |
| 1× | batch-egg-rewrite |
| 7 548× | accelerator-lowering-fma.f32 |
| 7 548× | accelerator-lowering-fma.f64 |
| 4 298× | *-lowering-*.f32 |
| 4 298× | *-lowering-*.f64 |
| 4 146× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 168 |
| 1 | 176 | 128 |
| 2 | 1444 | 112 |
| 0 | 8703 | 103 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin y) (/ y x)) |
(sin y) |
(/ y x) |
(* -1/6 (* (* y y) x)) |
(* (* y y) x) |
(* y y) |
(* (/ 1 y) (* x y)) |
(/ 1 y) |
(* x y) |
(/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)) |
(+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1) |
(+ (* y (* y 7/360)) 1/6) |
(* (/ (+ (* y (* y -1/6)) 1) (* y (+ (* y (* y -1/6)) -1))) (/ (+ (* y (* y -1/6)) -1) (/ 1 y))) |
(/ (+ (* y (* y -1/6)) -1) (/ 1 y)) |
(* x (* (/ (+ (* y (* y -1/6)) 1) (* y (+ (* y (* y -1/6)) -1))) (/ (+ (* y (* y -1/6)) -1) (/ 1 y)))) |
(/ (+ (* y (* y -1/6)) 1) (* y (+ (* y (* y -1/6)) -1))) |
(* y 7/360) |
(* y -1/6) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(neg.f64 (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))))) |
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 x y) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(sin.f64 y) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(/.f64 y x) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.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 x)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y)) |
(/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y (*.f64 y x)) |
(*.f64 x (*.f64 y y)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y x) y) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y)) |
(/.f64 y (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
x |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) |
(neg.f64 (-.f64 #s(literal 0 binary64) x)) |
(neg.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y x))) |
(neg.f64 (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) y)) |
(/.f64 y (/.f64 y x)) |
(/.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y x) y) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x))) y) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(*.f64 y (/.f64 x y)) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) y) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(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)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #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 0 binary64) 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 (/.f64 #s(literal 1 binary64) y) #s(literal 1 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 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
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(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.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 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #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)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (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 y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y #s(literal 7/360 binary64)) |
(*.f64 #s(literal 7/360 binary64) y) |
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 17 350× | accelerator-lowering-fma.f32 |
| 17 350× | accelerator-lowering-fma.f64 |
| 5 562× | *-lowering-*.f32 |
| 5 562× | *-lowering-*.f64 |
| 3 202× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 1980 |
| 1 | 529 | 1955 |
| 2 | 1493 | 1890 |
| 3 | 4895 | 1869 |
| 0 | 8279 | 1772 |
| 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) |
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) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
x |
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 y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ x (+ 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))))) |
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))))) |
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 y) |
(* y (- (* -1/6 (pow y 2)) 1)) |
(* y (- (* -1/6 (pow y 2)) 1)) |
(* y (- (* -1/6 (pow y 2)) 1)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 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 (+ 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 y) |
(/ (- (* 1/3 (pow y 2)) 1) y) |
(/ (- (* (pow y 2) (+ 1/3 (* -1/18 (pow y 2)))) 1) y) |
(/ (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/108 (pow y 2)) 1/18)))) 1) y) |
(/ 1 y) |
(/ (- 1 (* 12 (/ 1 (pow y 2)))) y) |
(/ (- (+ 1 (/ 72 (pow y 4))) (* 12 (/ 1 (pow y 2)))) y) |
(/ (- (+ 1 (/ 72 (pow y 4))) (+ (* 12 (/ 1 (pow y 2))) (* 432 (/ 1 (pow y 6))))) y) |
(/ 1 y) |
(* -1 (/ (- (* 12 (/ 1 (pow y 2))) 1) y)) |
(* -1 (/ (- (* 12 (/ 1 (pow y 2))) (+ 1 (/ 72 (pow y 4)))) y)) |
(* -1 (/ (- (+ (* 12 (/ 1 (pow y 2))) (* 432 (/ 1 (pow y 6)))) (+ 1 (/ 72 (pow y 4)))) 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 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) |
(* -1/6 y) |
| Outputs |
|---|
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 0 binary64))) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(sin y) |
(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) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
x |
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) |
(/.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) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/.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))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/.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))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/.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))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/.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))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/.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))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/.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))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/.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))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/.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))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/.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))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/.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))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/.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))) |
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))) |
(/.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))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x)))) |
(*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(+ 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)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/540 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64))) x) |
(* 360/7 (/ x (pow y 4))) |
(/.f64 (fma.f64 x #s(literal 360/7 binary64) #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (+ (* -21600/49 (/ x (pow y 2))) (* 360/7 x)) (pow y 4)) |
(/.f64 (fma.f64 x (-.f64 #s(literal 360/7 binary64) (/.f64 #s(literal 21600/49 binary64) (*.f64 y y))) #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (- (+ (* -1 (/ (+ (* -1296000/343 x) (* 129600/49 x)) (pow y 4))) (* 360/7 x)) (* 21600/49 (/ x (pow y 2)))) (pow y 4)) |
(/.f64 (*.f64 x (-.f64 (+.f64 #s(literal 360/7 binary64) (/.f64 #s(literal 388800/343 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 21600/49 binary64) (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (- (+ (* -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)) |
(/.f64 (+.f64 (/.f64 (*.f64 x #s(literal 31104000/2401 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (-.f64 #s(literal 360/7 binary64) (/.f64 #s(literal 21600/49 binary64) (*.f64 y y))) (*.f64 (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 388800/343 binary64)))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(* 360/7 (/ x (pow y 4))) |
(/.f64 (fma.f64 x #s(literal 360/7 binary64) #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (+ (* -21600/49 (/ x (pow y 2))) (* 360/7 x)) (pow y 4)) |
(/.f64 (fma.f64 x (-.f64 #s(literal 360/7 binary64) (/.f64 #s(literal 21600/49 binary64) (*.f64 y y))) #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (- (+ (* -1 (/ (+ (* -1296000/343 x) (* 129600/49 x)) (pow y 4))) (* 360/7 x)) (* 21600/49 (/ x (pow y 2)))) (pow y 4)) |
(/.f64 (*.f64 x (-.f64 (+.f64 #s(literal 360/7 binary64) (/.f64 #s(literal 388800/343 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 21600/49 binary64) (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (- (+ (* -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)) |
(/.f64 (+.f64 (/.f64 (*.f64 x #s(literal 31104000/2401 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (-.f64 #s(literal 360/7 binary64) (/.f64 #s(literal 21600/49 binary64) (*.f64 y y))) (*.f64 (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 388800/343 binary64)))) (*.f64 y (*.f64 y (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (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 (* 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)) |
(* 7/360 (pow y 4)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 7/360 binary64)))) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* 7/360 (pow y 4)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 7/360 binary64)))) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 7/360 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #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 (* 7/360 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* 7/360 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 7/360 binary64)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* 7/360 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 7/360 binary64)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
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 (* -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)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (* -1/6 (pow y 2)) 1)) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* y (- (* -1/6 (pow y 2)) 1)) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* y (- (* -1/6 (pow y 2)) 1)) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1/6 (pow y 3)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)) |
(* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1/6 (pow y 3)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)) |
(* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- (* 1/3 (pow y 2)) 1) y) |
(fma.f64 y #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/ (- (* (pow y 2) (+ 1/3 (* -1/18 (pow y 2)))) 1) y) |
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/18 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(/ (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/108 (pow y 2)) 1/18)))) 1) y) |
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/108 binary64)) #s(literal -1/18 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (* 12 (/ 1 (pow y 2)))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 y y))) y) |
(/ (- (+ 1 (/ 72 (pow y 4))) (* 12 (/ 1 (pow y 2)))) y) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 y y))) (/.f64 #s(literal 72 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) y) |
(/ (- (+ 1 (/ 72 (pow y 4))) (+ (* 12 (/ 1 (pow y 2))) (* 432 (/ 1 (pow y 6))))) y) |
(/.f64 (-.f64 (/.f64 #s(literal -432 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 y y)) (/.f64 #s(literal -72 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (* 12 (/ 1 (pow y 2))) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 y y))) y) |
(* -1 (/ (- (* 12 (/ 1 (pow y 2))) (+ 1 (/ 72 (pow y 4)))) y)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 y y))) (/.f64 #s(literal 72 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) y) |
(* -1 (/ (- (+ (* 12 (/ 1 (pow y 2))) (* 432 (/ 1 (pow y 6)))) (+ 1 (/ 72 (pow y 4)))) y)) |
(/.f64 (-.f64 (/.f64 #s(literal -432 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 y y)) (/.f64 #s(literal -72 binary64) (*.f64 y (*.f64 y (*.f64 y 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)) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
Compiled 32 039 to 2 835 computations (91.2% saved)
34 alts after pruning (24 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 279 | 9 | 1 288 |
| Fresh | 9 | 15 | 24 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 290 | 34 | 1 324 |
| Status | Accuracy | Program |
|---|---|---|
| 47.5% | (fma.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64) x) | |
| 54.5% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.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) (-.f64 #s(literal 0 binary64) y))) | |
| 3.0% | (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) | |
| 36.7% | (/.f64 (*.f64 y x) y) | |
| 3.0% | (/.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y)) | |
| ✓ | 87.9% | (/.f64 (*.f64 x (sin.f64 y)) y) |
| 50.6% | (/.f64 (*.f64 x y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 88.6% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 62.9% | (/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| 62.9% | (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 18.6% | (/.f64 x (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 7/360 binary64))))) | |
| 48.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 47.4% | (+.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) x) | |
| 35.5% | (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))) | |
| 87.7% | (*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) | |
| 88.0% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| 50.2% | (*.f64 (/.f64 x y) y) | |
| ✓ | 87.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
| ✓ | 36.6% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
| 3.0% | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) | |
| 3.0% | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) | |
| 47.9% | (*.f64 x (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))) | |
| 3.0% | (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))) y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 49.2% | (*.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) y))) | |
| ✓ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 48.5% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) | |
| 3.0% | (*.f64 x (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) y))) | |
| 3.0% | (*.f64 x (*.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) #s(literal -1/6 binary64)))) | |
| ✓ | 3.0% | (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
| 3.0% | (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) x)) | |
| ✓ | 3.0% | (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
| ✓ | 48.6% | x |
Compiled 1 244 to 463 computations (62.8% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) 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))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 x y) y) |
(/.f64 (*.f64 y x) y) |
(fma.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64) x) |
(+.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(/.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))) |
(*.f64 x (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) y))) |
(*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)) |
(*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))) y)) |
(/.f64 x (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 7/360 binary64))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 x (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y) y)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) y) (*.f64 x y)) |
(/.f64 (*.f64 x y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (*.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 x y))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(/.f64 (*.f64 x y) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) y)) |
(*.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 x (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) #s(literal 1 binary64))) y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 x (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)))) y)) |
(/.f64 (*.f64 x y) (/.f64 y (fma.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/6 binary64))) y) #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))) |
(*.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)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/216 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(*.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) y)) |
(*.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 y (*.f64 y y)))) y)) |
(*.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 x y) (/.f64 y (*.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y))))) |
(*.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y)) |
(*.f64 x (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 x y) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.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) (-.f64 #s(literal 0 binary64) y))) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 63.0ms | y |
| 19.0ms | (/.f64 (sin.f64 y) y) |
| 17.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.8% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) 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))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 x y) y) |
(/.f64 (*.f64 y x) y) |
(fma.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64) x) |
(+.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(/.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))) |
(*.f64 x (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) y))) |
(*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)) |
(*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))) y)) |
(/.f64 x (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 7/360 binary64))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 x (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y) y)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) y) (*.f64 x y)) |
(/.f64 (*.f64 x y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (*.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 x y))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(/.f64 (*.f64 x y) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) y)) |
(*.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 x (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) #s(literal 1 binary64))) y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 x (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)))) y)) |
(/.f64 (*.f64 x y) (/.f64 y (fma.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/6 binary64))) y) #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))) |
(*.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)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/216 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(*.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) y)) |
(*.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 y (*.f64 y y)))) y)) |
(*.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 x y) (/.f64 y (*.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y))))) |
(*.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y)) |
(*.f64 x (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal -1 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))) |
(*.f64 x (/.f64 (*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 x y) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
4 calls:
| 33.0ms | y |
| 21.0ms | (/.f64 (sin.f64 y) y) |
| 14.0ms | x |
| 14.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.9% | 1 | x |
| 62.9% | 1 | y |
| 62.9% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 62.9% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) 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))) |
(*.f64 (/.f64 x y) y) |
(/.f64 (*.f64 x y) y) |
(/.f64 (*.f64 y x) y) |
(fma.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64) x) |
(+.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(/.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:
| 34.0ms | (/.f64 (sin.f64 y) y) |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.0% | 2 | x |
| 62.0% | 2 | y |
| 62.0% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 62.0% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 13 computations (35% saved)
Total -29.5b remaining (-89.6%)
Threshold costs -29.5b (-89.6%)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) 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))) |
| Outputs |
|---|
x |
4 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 1 | x |
| 48.6% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 48.6% | 1 | (/.f64 (sin.f64 y) y) |
| 48.6% | 1 | y |
Compiled 20 to 13 computations (35% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 28.888622139766145 | 4846617.917799595 |
| 11.0ms | 144× | 0 | valid |
Compiled 182 to 127 computations (30.2% saved)
ival-sin: 5.0ms (71.7% of total)ival-div: 1.0ms (14.3% of total)ival-mult: 1.0ms (14.3% 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 | 19 | 32 |
| 1 | 27 | 32 |
| 1× | saturated |
| Inputs |
|---|
(*.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 105 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x y) y)) |
x |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal 105 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 105 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 y (/.f64 x y))) |
x |
| 16 120× | accelerator-lowering-fma.f32 |
| 16 120× | accelerator-lowering-fma.f64 |
| 10 366× | accelerator-lowering-fma.f32 |
| 10 366× | accelerator-lowering-fma.f64 |
| 7 548× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 168 |
| 1 | 176 | 128 |
| 2 | 1444 | 112 |
| 0 | 8703 | 103 |
| 0 | 5 | 12 |
| 1 | 16 | 12 |
| 2 | 69 | 12 |
| 3 | 331 | 12 |
| 0 | 1793 | 12 |
| 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 | 78 | 1306 |
| 1 | 229 | 1282 |
| 2 | 613 | 1264 |
| 3 | 1859 | 1256 |
| 4 | 5563 | 1256 |
| 0 | 8352 | 1172 |
| 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 91 to 57 computations (37.4% saved)
(negabs x)
(abs y)
Compiled 148 to 88 computations (40.5% saved)
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