
Time bar (total: 9.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.0s | 8 249× | 0 | valid |
| 1.0ms | 7× | 1 | valid |
ival-sin: 310.0ms (47.8% of total)ival-cos: 191.0ms (29.4% of total)ival-add: 77.0ms (11.9% of total)ival-mult: 61.0ms (9.4% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 334× | sub-neg |
| 294× | cancel-sign-sub-inv |
| 286× | associate-+l- |
| 272× | distribute-rgt-in |
| 236× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 92 | 82 |
| 2 | 234 | 81 |
| 3 | 588 | 81 |
| 4 | 1029 | 81 |
| 5 | 1414 | 81 |
| 6 | 1696 | 81 |
| 7 | 1888 | 81 |
| 8 | 1995 | 81 |
| 9 | 2055 | 81 |
| 10 | 2069 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 18 | 9 |
| 2 | 25 | 9 |
| 3 | 27 | 9 |
| 0 | 27 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 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 |
| 48.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-cos: 12.0ms (38.3% of total)ival-sin: 11.0ms (35.1% of total)ival-add: 5.0ms (16% of total)ival-mult: 3.0ms (9.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 24× | lower-+.f32 |
| 20× | lower-+.f64 |
| 12× | lower-fma.f64 |
| 12× | lower-fma.f32 |
| 10× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 18 | 24 |
| 2 | 25 | 24 |
| 3 | 27 | 24 |
| 0 | 27 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 x (sin.f64 y)) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 99.7% | (*.f64 z (cos.f64 y)) |
| 23.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 6.0ms (39.4% of total)ival-cos: 5.0ms (32.8% of total)ival-add: 2.0ms (13.1% of total)ival-mult: 2.0ms (13.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))> |
#<alt (+.f64 x (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 z (cos.f64 y))> |
#<alt (cos.f64 y)> |
| Outputs |
|---|
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (sin y)> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+ (+ x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | 0 | (* z (cos y)) |
| 1.0ms | y | @ | inf | (+ (+ x (sin y)) (* z (cos y))) |
| 0.0ms | z | @ | 0 | (+ (+ x (sin y)) (* z (cos y))) |
| 0.0ms | y | @ | -inf | (+ (+ x (sin y)) (* z (cos y))) |
| 1× | batch-egg-rewrite |
| 4 470× | lower-*.f32 |
| 4 468× | lower-*.f64 |
| 4 404× | lower-fma.f64 |
| 4 404× | lower-fma.f32 |
| 2 454× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 z (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) |
(-.f64 (fma.f64 z (cos.f64 y) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (+.f64 x (sin.f64 y)) (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y))) |
(fma.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y))) |
(fma.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) x) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 z (cos.f64 y))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(pow.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x (sin.f64 y)) (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))))) |
(*.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(*.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 x (sin.f64 y)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(sin.f64 y) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
| 1× | egg-herbie |
| 11 712× | lower-fma.f64 |
| 11 712× | lower-fma.f32 |
| 3 160× | lower-*.f64 |
| 3 160× | lower-*.f32 |
| 2 322× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 852 | 633 |
| 3 | 2193 | 631 |
| 4 | 4247 | 631 |
| 5 | 7326 | 631 |
| 0 | 8046 | 578 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
Compiled 6 608 to 592 computations (91% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 261 | 12 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 262 | 12 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| 63.9% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) | |
| ▶ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| ▶ | 62.1% | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| 53.3% | (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) | |
| 43.6% | (+.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (*.f64 z (cos.f64 y))) | |
| 62.1% | (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) | |
| ▶ | 52.9% | (+.f64 (sin.f64 y) x) |
| ▶ | 54.4% | (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
| ▶ | 64.7% | (+.f64 z x) |
| 58.8% | (+.f64 y (+.f64 z x)) | |
| 48.6% | (*.f64 z (cos.f64 y)) |
Compiled 368 to 218 computations (40.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 (sin.f64 y) x) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 0 | (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
| ✓ | cost-diff | 0 | (+.f64 z x) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 340× | lower-fma.f32 |
| 332× | lower-fma.f64 |
| 146× | lower-*.f32 |
| 144× | lower-*.f64 |
| 132× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 78 |
| 0 | 31 | 78 |
| 1 | 56 | 78 |
| 2 | 94 | 78 |
| 3 | 173 | 78 |
| 4 | 202 | 78 |
| 5 | 216 | 78 |
| 6 | 223 | 78 |
| 0 | 223 | 78 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
(+.f64 z x) |
z |
x |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
z |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
y |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
(+.f64 z x) |
z |
x |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 z x)) |
z |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
y |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
(+.f64 (sin.f64 y) x) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (sin.f64 y) x) |
| ✓ | accuracy | 100.0% | (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 100.0% | (+.f64 z x) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 x (sin.f64 y)) |
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 60.0ms | 256× | 0 | valid |
Compiled 87 to 22 computations (74.7% saved)
ival-add: 8.0ms (29.2% of total)ival-mult: 7.0ms (25.5% of total)ival-cos: 6.0ms (21.9% of total)ival-sin: 5.0ms (18.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))> |
#<alt (cos.f64 y)> |
#<alt (+.f64 x (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (+.f64 z x)> |
#<alt (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))> |
#<alt (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)> |
#<alt (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 z #s(literal -1/2 binary64))> |
#<alt (+.f64 (sin.f64 y) x)> |
#<alt (fma.f64 z (cos.f64 y) (sin.f64 y))> |
| Outputs |
|---|
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (sin y)> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt x> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt z> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt z> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt x> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (+ x y)> |
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))> |
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))> |
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))> |
#<alt (* z (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))> |
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))> |
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt (+ x (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (/ x (pow y 2)))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 1) y)) (* -1/2 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 1) y)) (* -1/2 z)))> |
#<alt (+ x y)> |
#<alt (+ x (+ y (* -1/2 (* (pow y 2) z))))> |
#<alt (+ x (+ y (* -1/2 (* (pow y 2) z))))> |
#<alt (+ x (+ y (* -1/2 (* (pow y 2) z))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))> |
#<alt (* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))> |
#<alt (* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2)))))> |
#<alt (* y (+ 1 (* -1/2 (* y z))))> |
#<alt (+ x (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt (+ x (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt (+ x (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)))> |
#<alt (* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)))> |
#<alt (* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* y (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* y (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* y (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* z (+ (* -1/2 y) (/ 1 z)))> |
#<alt (* z (+ (* -1/2 y) (/ 1 z)))> |
#<alt (* z (+ (* -1/2 y) (/ 1 z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))> |
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))> |
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))> |
#<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 (sin y)> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (sin y)> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt z> |
#<alt (+ y z)> |
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (+ z (+ (* y (+ (* y (* z -1/2)) 1)) x)) |
| 1.0ms | z | @ | inf | (+ z (+ (* y (+ (* y (* z -1/2)) 1)) x)) |
| 0.0ms | z | @ | -inf | (+ z (+ (* y (+ (* y (* z -1/2)) 1)) x)) |
| 0.0ms | z | @ | 0 | (+ z (+ (* y (+ (* y (* z -1/2)) 1)) x)) |
| 0.0ms | x | @ | 0 | (+ z (+ (* y (+ (* y (* z -1/2)) 1)) x)) |
| 1× | batch-egg-rewrite |
| 5 080× | lower-fma.f32 |
| 5 072× | lower-fma.f64 |
| 4 628× | lower-/.f64 |
| 4 628× | lower-/.f32 |
| 3 700× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 58 |
| 0 | 31 | 58 |
| 1 | 146 | 58 |
| 2 | 1254 | 58 |
| 0 | 8271 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
(+.f64 z x) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 z #s(literal -1/2 binary64)) |
(+.f64 (sin.f64 y) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
| Outputs |
|---|
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) x) |
(fma.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) x) |
(fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) x) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (neg.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) x) |
(fma.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) x) |
(fma.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) x)))) (sin.f64 y)) |
(fma.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) x)) (sin.f64 y)) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (*.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) |
| 1× | egg-herbie |
| 13 312× | lower-fma.f64 |
| 13 312× | lower-fma.f32 |
| 5 162× | lower-*.f64 |
| 5 162× | lower-*.f32 |
| 1 608× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 1886 |
| 1 | 591 | 1868 |
| 2 | 1681 | 1800 |
| 3 | 6059 | 1788 |
| 0 | 8244 | 1604 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ x y) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (* y (+ 1 (* -1/2 (* y z))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (/ x (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (/ x (pow y 2))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 1) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 1) y)) (* -1/2 z))) |
(+ x y) |
(+ x (+ y (* -1/2 (* (pow y 2) z)))) |
(+ x (+ y (* -1/2 (* (pow y 2) z)))) |
(+ x (+ y (* -1/2 (* (pow y 2) z)))) |
(* -1/2 (* (pow y 2) z)) |
(* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))) |
(* -1/2 (* (pow y 2) z)) |
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))))) |
(* y (+ 1 (* -1/2 (* y z)))) |
(+ x (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (* y (+ 1 (* -1/2 (* y z))))) |
x |
(* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) |
(* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) |
(* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* -1/2 (* y z)) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* -1/2 (* y z)) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
| Outputs |
|---|
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 x (+.f64 z y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 x z)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(sin y) |
(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 (/ (sin y) x))) |
(+.f64 x (sin.f64 y)) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 x (sin.f64 y)) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 x (sin.f64 y)) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 x (sin.f64 y)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 x (sin.f64 y)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 x (sin.f64 y)) |
x |
(+ x y) |
(+.f64 x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 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)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
x |
(+ x z) |
(+.f64 x z) |
(+ x z) |
(+.f64 x z) |
(+ x z) |
(+.f64 x z) |
z |
(* z (+ 1 (/ x z))) |
(+.f64 x z) |
(* z (+ 1 (/ x z))) |
(+.f64 x z) |
(* z (+ 1 (/ x z))) |
(+.f64 x z) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 x z) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 x z) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 x z) |
z |
(+ x z) |
(+.f64 x z) |
(+ x z) |
(+.f64 x z) |
(+ x z) |
(+.f64 x z) |
x |
(* x (+ 1 (/ z x))) |
(+.f64 x z) |
(* x (+ 1 (/ z x))) |
(+.f64 x z) |
(* x (+ 1 (/ z x))) |
(+.f64 x z) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 x z) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 x z) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 x z) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(+.f64 z (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 y z)) x)) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(+.f64 z (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 y z)) x)) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(+.f64 z (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 y z)) x)) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(-.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) (-.f64 (neg.f64 x) y)) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(-.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) (-.f64 (neg.f64 x) y)) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(-.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) (-.f64 (neg.f64 x) y)) |
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 x (+.f64 z y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) y) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(*.f64 y (+.f64 (+.f64 (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) (/.f64 z y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(*.f64 y (+.f64 (+.f64 (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) (/.f64 z y))) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) y) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) y)) (*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) y)) (*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y) x) x) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y) x) x) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y) x) x) |
x |
(+ x y) |
(+.f64 x y) |
(+ x (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(+ x (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) y) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (/ x (pow y 2))))) |
(*.f64 y (+.f64 (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (/ x (pow y 2))))) |
(*.f64 y (+.f64 (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) y) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 1) y)) (* -1/2 z))) |
(*.f64 y (+.f64 (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 1) y)) (* -1/2 z))) |
(*.f64 y (+.f64 (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (* -1/2 (* (pow y 2) z)))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(+ x (+ y (* -1/2 (* (pow y 2) z)))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(+ x (+ y (* -1/2 (* (pow y 2) z)))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))) |
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 y z)) x) |
(* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))) |
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 y z)) x) |
(* z (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))) |
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 y z)) x) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))))) |
(-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (-.f64 (neg.f64 x) y)) |
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))))) |
(-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (-.f64 (neg.f64 x) y)) |
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))))) |
(-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (-.f64 (neg.f64 x) y)) |
(* y (+ 1 (* -1/2 (* y z)))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) y) |
(+ x (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(+ x (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(+ x (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (* y z)) |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (* y z)) |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (* y z)) |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (* y z)) |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
x |
(+ x y) |
(+.f64 x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 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)) |
(sin y) |
(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 (/ (sin y) x))) |
(+.f64 x (sin.f64 y)) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 x (sin.f64 y)) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 x (sin.f64 y)) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 x (sin.f64 y)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 x (sin.f64 y)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 x (sin.f64 y)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(+ y z) |
(+.f64 z y) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
Compiled 20 787 to 1 450 computations (93% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 730 | 21 | 751 |
| Fresh | 6 | 1 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 737 | 26 | 763 |
| Status | Accuracy | Program |
|---|---|---|
| 52.5% | (fma.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) x)) (sin.f64 y)) | |
| 50.4% | (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x)) | |
| 26.2% | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) | |
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| ✓ | 62.1% | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| 30.6% | (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) | |
| ▶ | 86.0% | (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
| ▶ | 18.6% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
| 18.6% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) | |
| 61.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)))) | |
| 54.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x)))) | |
| 64.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) | |
| 52.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) | |
| 62.1% | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) | |
| ✓ | 52.9% | (+.f64 (sin.f64 y) x) |
| 34.7% | (+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x)) | |
| ▶ | 52.0% | (+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
| 30.0% | (+.f64 z y) | |
| ✓ | 64.7% | (+.f64 z x) |
| ▶ | 34.4% | (+.f64 x y) |
| 18.6% | (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) | |
| 31.3% | (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) | |
| 31.7% | (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) | |
| 2.8% | (*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) | |
| 48.6% | (*.f64 z (cos.f64 y)) | |
| ▶ | 15.8% | (sin.f64 y) |
Compiled 729 to 440 computations (39.6% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 z z)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x) |
| ✓ | cost-diff | 128 | (+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
| ✓ | cost-diff | 896 | (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
| 6 346× | lower-fma.f32 |
| 6 336× | lower-fma.f64 |
| 3 068× | lower-*.f32 |
| 3 058× | lower-*.f64 |
| 1 708× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 123 |
| 0 | 43 | 115 |
| 1 | 71 | 115 |
| 2 | 119 | 115 |
| 3 | 171 | 114 |
| 4 | 220 | 112 |
| 5 | 379 | 112 |
| 6 | 654 | 112 |
| 7 | 1291 | 112 |
| 8 | 3582 | 112 |
| 9 | 5805 | 112 |
| 0 | 8012 | 111 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
x |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
(+.f64 x y) |
x |
y |
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
z |
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x) |
y |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
x |
(*.f64 x x) |
(*.f64 z (*.f64 z z)) |
z |
(*.f64 z z) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
(-.f64 x z) |
(sin.f64 y) |
y |
| Outputs |
|---|
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
x |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
(+.f64 x y) |
x |
y |
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
z |
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x) |
y |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
x |
(*.f64 x x) |
(*.f64 z (*.f64 z z)) |
z |
(*.f64 z z) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
(-.f64 x z) |
(sin.f64 y) |
y |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (fma.f64 x (-.f64 x z) (*.f64 z z)) |
| ✓ | accuracy | 99.8% | (*.f64 z (*.f64 z z)) |
| ✓ | accuracy | 95.8% | (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
| ✓ | accuracy | 32.7% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
| ✓ | accuracy | 100.0% | (+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
| ✓ | accuracy | 100.0% | (*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
| ✓ | accuracy | 86.0% | (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
| 56.0ms | 256× | 0 | valid |
Compiled 135 to 28 computations (79.3% saved)
ival-mult: 16.0ms (38.7% of total)ival-add: 9.0ms (21.8% of total)ival-cos: 6.0ms (14.5% of total)ival-sin: 5.0ms (12.1% of total)ival-div: 3.0ms (7.3% of total)ival-sub: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)> |
#<alt (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)> |
#<alt (fma.f64 z (cos.f64 y) (sin.f64 y))> |
#<alt (cos.f64 y)> |
#<alt (+.f64 x y)> |
#<alt (+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))> |
#<alt (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)> |
#<alt (*.f64 z (*.f64 y #s(literal -1/2 binary64)))> |
#<alt (*.f64 y #s(literal -1/2 binary64))> |
#<alt (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))> |
#<alt (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 z (*.f64 z z))> |
#<alt (sin.f64 y)> |
#<alt (fma.f64 x (-.f64 x z) (*.f64 z z))> |
| Outputs |
|---|
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (/ (sin y) x)> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (/ (* z (cos y)) x)> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (/ (* z (cos y)) x)> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (/ z x)> |
#<alt (+ (/ y x) (/ z x))> |
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))> |
#<alt (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (sin y)> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt z> |
#<alt (+ y z)> |
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt x> |
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (* z (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))> |
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))> |
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))> |
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))> |
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))> |
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))> |
#<alt (* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))> |
#<alt (* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* -1/2 (* (pow y 2) z)))> |
#<alt (+ x (* -1/2 (* (pow y 2) z)))> |
#<alt (+ x (* -1/2 (* (pow y 2) z)))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2))))> |
#<alt x> |
#<alt (+ x (* -1/2 (* (pow y 2) z)))> |
#<alt (+ x (* -1/2 (* (pow y 2) z)))> |
#<alt (+ x (* -1/2 (* (pow y 2) z)))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* z (+ (* -1/2 (pow y 2)) (/ x z)))> |
#<alt (* z (+ (* -1/2 (pow y 2)) (/ x z)))> |
#<alt (* z (+ (* -1/2 (pow y 2)) (/ x z)))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2)))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (+ x (* -1/2 (* (pow y 2) z)))> |
#<alt (+ x (* -1/2 (* (pow y 2) z)))> |
#<alt (+ x (* -1/2 (* (pow y 2) z)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x))))> |
#<alt (* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x))))> |
#<alt (* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt z> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt x> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x))))> |
#<alt (* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1)))> |
#<alt x> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt z> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z))))> |
#<alt (* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1)))> |
#<alt (pow z 3)> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))> |
#<alt (pow x 3)> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))> |
#<alt (pow x 3)> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (pow z 3)> |
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))> |
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))> |
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))> |
#<alt (pow z 3)> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<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 (pow z 2)> |
#<alt (+ (* -1 (* x z)) (pow z 2))> |
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))> |
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))> |
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))> |
#<alt (pow x 2)> |
#<alt (+ (* -1 (* x z)) (pow x 2))> |
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))> |
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))> |
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (* z (* y -1/2)) |
| 2.0ms | z | @ | inf | (+ (* z (cos y)) (sin y)) |
| 1.0ms | x | @ | 0 | (/ (+ (* x (* x x)) (* z (* z z))) (+ (* x (- x z)) (* z z))) |
| 1.0ms | z | @ | 0 | (/ (+ (* x (* x x)) (* z (* z z))) (+ (* x (- x z)) (* z z))) |
| 1.0ms | x | @ | 0 | (/ (+ (* z (cos y)) (sin y)) x) |
| 1× | batch-egg-rewrite |
| 6 018× | lower-fma.f32 |
| 6 008× | lower-fma.f64 |
| 4 442× | lower-/.f32 |
| 4 438× | lower-/.f64 |
| 3 638× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 103 |
| 0 | 43 | 95 |
| 1 | 172 | 95 |
| 2 | 1377 | 92 |
| 0 | 8235 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(cos.f64 y) |
(+.f64 x y) |
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x) |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y #s(literal -1/2 binary64)) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(*.f64 x x) |
(*.f64 z (*.f64 z z)) |
(sin.f64 y) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
| Outputs |
|---|
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(fma.f64 x #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x x) |
(fma.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) x) |
(fma.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) x) |
(fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) |
(fma.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) x) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (fma.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (*.f64 (/.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) (+.f64 (/.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))) (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z))))))) |
(*.f64 (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (*.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(*.f64 (neg.f64 (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))) (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(*.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
| 1× | egg-herbie |
| 11 284× | lower-fma.f64 |
| 11 284× | lower-fma.f32 |
| 3 844× | lower-+.f64 |
| 3 844× | lower-+.f32 |
| 3 100× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 314 | 2696 |
| 1 | 1009 | 2671 |
| 2 | 3143 | 2605 |
| 0 | 8392 | 2409 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(/ z x) |
(+ (/ y x) (/ z x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
x |
(+ x (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* z (+ 1 (* -1/2 (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z)))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1))) |
(+ x z) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2))))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
x |
(* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1))) |
x |
(+ x (* -1/2 (* (pow y 2) z))) |
(+ x (* -1/2 (* (pow y 2) z))) |
(+ x (* -1/2 (* (pow y 2) z))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2)))) |
x |
(+ x (* -1/2 (* (pow y 2) z))) |
(+ x (* -1/2 (* (pow y 2) z))) |
(+ x (* -1/2 (* (pow y 2) z))) |
(* -1/2 (* (pow y 2) z)) |
(* z (+ (* -1/2 (pow y 2)) (/ x z))) |
(* z (+ (* -1/2 (pow y 2)) (/ x z))) |
(* z (+ (* -1/2 (pow y 2)) (/ x z))) |
(* -1/2 (* (pow y 2) z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2))))) |
(* -1/2 (* (pow y 2) z)) |
(+ x (* -1/2 (* (pow y 2) z))) |
(+ x (* -1/2 (* (pow y 2) z))) |
(+ x (* -1/2 (* (pow y 2) z))) |
x |
(* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x)))) |
(* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x)))) |
(* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x)))) |
x |
(* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1))) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x)))) |
(* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z)))) |
(* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2)))))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1))) |
(pow z 3) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(pow x 3) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(pow z 3) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
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) |
(pow z 2) |
(+ (* -1 (* x z)) (pow z 2)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(pow x 2) |
(+ (* -1 (* x z)) (pow x 2)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
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(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2)))) |
(*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 x (*.f64 y y))))) |
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2)))) |
(*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 x (*.f64 y y))))) |
(* (pow y 2) (+ (* -1/2 z) (/ x (pow y 2)))) |
(*.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 x (*.f64 y y))))) |
x |
(+ x (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x) |
(+ x (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x) |
(+ x (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(* z (+ (* -1/2 (pow y 2)) (/ x z))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z))) |
(* z (+ (* -1/2 (pow y 2)) (/ x z))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z))) |
(* z (+ (* -1/2 (pow y 2)) (/ x z))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z))) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2))))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2))))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 (pow y 2))))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z))) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(+ x (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x) |
(+ x (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x) |
(+ x (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x) |
x |
(* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x)))) |
(fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x) |
(* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x)))) |
(fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x) |
(* x (+ 1 (* -1/2 (/ (* (pow y 2) z) x)))) |
(fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x) |
x |
(* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1))) |
(fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1))) |
(fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (* 1/2 (/ (* (pow y 2) z) x)) 1))) |
(fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
z |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
x |
(* x (+ 1 (/ z x))) |
(fma.f64 x (/.f64 z x) x) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x)))) |
(fma.f64 x (/.f64 z x) x) |
(* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2)))))) |
(fma.f64 x (/.f64 z x) x) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(fma.f64 x (/.f64 z x) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1))) |
(fma.f64 x (/.f64 z x) x) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1))) |
(fma.f64 x (/.f64 z x) x) |
x |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
z |
(* z (+ 1 (/ x z))) |
(fma.f64 z (/.f64 x z) z) |
(* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z)))) |
(fma.f64 z (/.f64 x z) z) |
(* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2)))))) |
(fma.f64 z (/.f64 x z) z) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(fma.f64 z (/.f64 x z) z) |
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1))) |
(fma.f64 z (/.f64 x z) z) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1))) |
(fma.f64 z (/.f64 x z) z) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(+ (pow x 3) (pow z 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(+ (pow x 3) (pow z 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(+ (pow x 3) (pow z 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(+ (pow x 3) (pow z 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(+ (pow x 3) (pow z 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(+ (pow x 3) (pow z 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(*.f64 (*.f64 z z) (fma.f64 z (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) z)) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(*.f64 (*.f64 z z) (fma.f64 z (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) z)) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(*.f64 (*.f64 z z) (fma.f64 z (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(*.f64 (*.f64 z z) (fma.f64 z (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) z)) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(*.f64 (*.f64 z z) (fma.f64 z (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) z)) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(*.f64 (*.f64 z z) (fma.f64 z (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) z)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* x z)) (pow z 2)) |
(*.f64 z (-.f64 z x)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(fma.f64 z (-.f64 z x) (*.f64 x x)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(fma.f64 z (-.f64 z x) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(*.f64 x (fma.f64 x (/.f64 z (neg.f64 x)) x)) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(*.f64 x (fma.f64 x (/.f64 z (neg.f64 x)) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(+ (* -1 (* x z)) (pow x 2)) |
(*.f64 x (-.f64 x z)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(fma.f64 z (-.f64 z x) (*.f64 x x)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(fma.f64 z (-.f64 z x) (*.f64 x x)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(*.f64 z (*.f64 z (fma.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(*.f64 z (*.f64 z (fma.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(*.f64 z (*.f64 z (fma.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(*.f64 z (*.f64 z (fma.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) |
Compiled 22 325 to 1 686 computations (92.4% saved)
43 alts after pruning (37 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 825 | 28 | 853 |
| Fresh | 8 | 9 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 836 | 43 | 879 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) | |
| 54.7% | (fma.f64 z (/.f64 x z) z) | |
| ✓ | 62.1% | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| 5.6% | (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) | |
| 48.0% | (fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x) | |
| 69.2% | (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x))) x) x) | |
| ▶ | 85.7% | (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
| 52.9% | (fma.f64 x (/.f64 (sin.f64 y) x) x) | |
| 59.2% | (fma.f64 x (/.f64 z x) x) | |
| ▶ | 47.1% | (fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
| 71.9% | (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) | |
| 15.7% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z))) | |
| ▶ | 15.2% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
| 9.9% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x))) | |
| 10.3% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z)) | |
| 11.3% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z))) | |
| 11.7% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) | |
| 18.5% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) | |
| 11.7% | (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) | |
| 12.0% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) | |
| 11.2% | (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) | |
| ▶ | 18.6% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
| 17.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) | |
| 61.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)))) | |
| 51.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)))) | |
| 64.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) | |
| 52.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) | |
| 34.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) | |
| 62.1% | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) | |
| ✓ | 52.9% | (+.f64 (sin.f64 y) x) |
| 51.5% | (+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x)) | |
| 34.7% | (+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x)) | |
| ✓ | 52.0% | (+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
| 35.9% | (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64)))))))))) | |
| ▶ | 30.0% | (+.f64 z y) |
| ✓ | 64.7% | (+.f64 z x) |
| ✓ | 34.4% | (+.f64 x y) |
| 15.2% | (*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) | |
| 25.3% | (*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)))) | |
| 31.7% | (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) | |
| 2.8% | (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) | |
| 48.6% | (*.f64 z (cos.f64 y)) | |
| ✓ | 15.8% | (sin.f64 y) |
Compiled 1 544 to 789 computations (48.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
| ✓ | cost-diff | 3392 | (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) |
| ✓ | cost-diff | 0 | (-.f64 x z) |
| ✓ | cost-diff | 0 | (fma.f64 x (-.f64 x z) (*.f64 z z)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 z x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 1024 | (fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
| ✓ | cost-diff | 0 | (+.f64 z y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 896 | (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
| ✓ | cost-diff | 1408 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
| 18 882× | lower-fma.f32 |
| 18 870× | lower-fma.f64 |
| 4 542× | lower-+.f32 |
| 4 540× | lower-+.f64 |
| 4 094× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 321 |
| 0 | 64 | 260 |
| 1 | 118 | 253 |
| 2 | 281 | 244 |
| 3 | 886 | 242 |
| 4 | 4324 | 242 |
| 0 | 8057 | 241 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
x |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
(+.f64 z y) |
z |
y |
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
x |
(*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 z x) |
z |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
x |
(-.f64 x z) |
z |
(*.f64 z z) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(*.f64 x x) |
(*.f64 z (*.f64 z z)) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
x |
(*.f64 x x) |
(*.f64 z (*.f64 z z)) |
z |
(*.f64 z z) |
(*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) |
(*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
(-.f64 x z) |
(-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) |
(*.f64 x (-.f64 x z)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
x |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
(+.f64 z y) |
z |
y |
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
x |
(*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 z (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 z x) |
z |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
x |
(-.f64 x z) |
z |
(*.f64 z z) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(*.f64 x x) |
(*.f64 z (*.f64 z z)) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
x |
(*.f64 x x) |
(*.f64 z (*.f64 z z)) |
z |
(*.f64 z z) |
(*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
(*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
(-.f64 x z) |
(-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) |
(*.f64 x (-.f64 x z)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.8% | (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
| ✓ | accuracy | 93.4% | (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) |
| ✓ | accuracy | 39.1% | (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) |
| ✓ | accuracy | 32.7% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
| ✓ | accuracy | 99.8% | (*.f64 z (*.f64 z z)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
| ✓ | accuracy | 95.8% | (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
| ✓ | accuracy | 31.8% | (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 93.7% | (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | accuracy | 89.8% | (fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
| ✓ | accuracy | 100.0% | (+.f64 z y) |
| ✓ | accuracy | 99.9% | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
| ✓ | accuracy | 86.0% | (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
| 81.0ms | 256× | 0 | valid |
Compiled 344 to 39 computations (88.7% saved)
ival-mult: 18.0ms (29.6% of total)ival-div: 13.0ms (21.4% of total)ival-sub: 10.0ms (16.5% of total)ival-add: 7.0ms (11.5% of total)ival-cos: 6.0ms (9.9% of total)ival-sin: 5.0ms (8.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))> |
#<alt (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))> |
#<alt (+.f64 z y)> |
#<alt (fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)> |
#<alt (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))> |
#<alt (/.f64 z x)> |
#<alt (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))> |
#<alt (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))> |
#<alt (fma.f64 x (-.f64 x z) (*.f64 z z))> |
#<alt (-.f64 x z)> |
#<alt (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))> |
#<alt (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))> |
#<alt (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 z (cos.f64 y) (sin.f64 y))> |
#<alt (*.f64 y y)> |
#<alt (*.f64 z (*.f64 z z))> |
#<alt (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))> |
| Outputs |
|---|
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (sin y) x)> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (/ (* z (cos y)) x)> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (/ (* z (cos y)) x)> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (/ z x)> |
#<alt (+ (/ y x) (/ z x))> |
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))> |
#<alt (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
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#<alt x> |
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#<alt x> |
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#<alt (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)> |
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#<alt (/ z x)> |
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#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))> |
#<alt (/ z x)> |
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#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
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#<alt (/ z x)> |
#<alt (/ z x)> |
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#<alt (/ z x)> |
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#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt 1> |
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#<alt z> |
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#<alt (+ x z)> |
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#<alt (* x (+ 1 (/ z x)))> |
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#<alt x> |
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#<alt x> |
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#<alt (/ 1 x)> |
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#<alt (/ 1 x)> |
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#<alt (* -1 z)> |
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#<alt (- x z)> |
#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt (* -1 z)> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* -1 z)> |
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#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
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#<alt (+ (* x (+ x (* -1 z))) (pow z 2))> |
#<alt (pow x 2)> |
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#<alt z> |
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#<alt (+ x z)> |
#<alt x> |
#<alt (* x (+ 1 (/ z x)))> |
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#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1)))> |
#<alt x> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt z> |
#<alt (* z (+ 1 (/ x z)))> |
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#<alt z> |
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#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1)))> |
#<alt (pow z 3)> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (pow x 3)> |
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#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))> |
#<alt (pow x 3)> |
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#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))> |
#<alt (pow x 3)> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (pow z 3)> |
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))> |
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))> |
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))> |
#<alt (pow z 3)> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (sin y)> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt z> |
#<alt (+ y z)> |
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<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 (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (* -1 (pow z 2))> |
#<alt (- (* -1 (* x z)) (pow z 2))> |
#<alt (- (* x (+ x (* -1 z))) (pow z 2))> |
#<alt (- (* x (+ x (* -1 z))) (pow z 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))> |
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x)))> |
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (/ (pow z 2) x)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (/ (pow z 2) x)) x))))> |
#<alt (pow x 2)> |
#<alt (+ (* -1 (* x z)) (pow x 2))> |
#<alt (+ (* z (+ (* -1 x) (* -1 z))) (pow x 2))> |
#<alt (+ (* z (+ (* -1 x) (* -1 z))) (pow x 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* (pow z 2) (- (* -1 (/ x z)) 1))> |
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))) 1))> |
#<alt (* (pow z 2) (- (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))) 1))> |
#<alt (* -1 (pow z 2))> |
#<alt (* (pow z 2) (- (* -1 (/ x z)) 1))> |
#<alt (* (pow z 2) (- (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)) 1))> |
#<alt (* (pow z 2) (- (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)) 1))> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | z | @ | inf | (* (/ z x) (+ (* -1/2 (* y y)) 1)) |
| 1.0ms | z | @ | 0 | (* (/ z x) (+ (* -1/2 (* y y)) 1)) |
| 1.0ms | x | @ | 0 | (* (/ z x) (+ (* -1/2 (* y y)) 1)) |
| 1.0ms | y | @ | inf | (/ 1 (+ (* z (cos y)) (sin y))) |
| 0.0ms | y | @ | -inf | (/ 1 (+ (* z (cos y)) (sin y))) |
| 1× | batch-egg-rewrite |
| 5 360× | lower-fma.f32 |
| 5 348× | lower-fma.f64 |
| 4 186× | lower-/.f32 |
| 4 170× | lower-/.f64 |
| 4 114× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 231 |
| 0 | 64 | 175 |
| 1 | 261 | 160 |
| 2 | 2111 | 160 |
| 0 | 8652 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 z y) |
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 z x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
(-.f64 x z) |
(*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(*.f64 x x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 y y) |
(*.f64 z (*.f64 z z)) |
(-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y))) |
(fma.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) (neg.f64 x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)))))) |
(pow.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(-.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(fma.f64 x #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(fma.f64 x (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)) x) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))) (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (-.f64 (*.f64 x (-.f64 x z)) (neg.f64 (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))) (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) (fma.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z))) (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 x (-.f64 x z)) (neg.f64 (*.f64 z z)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (neg.f64 (-.f64 (*.f64 x (-.f64 x z)) (neg.f64 (*.f64 z z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) (neg.f64 (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) (neg.f64 (fma.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z))) (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 x (-.f64 x z)) (neg.f64 (*.f64 z z))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) (*.f64 (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) (*.f64 (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))))) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))) (*.f64 (neg.f64 (*.f64 z z)) (*.f64 x (-.f64 x z)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 x z)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (-.f64 x z)) #s(literal 1 binary64)) (/.f64 (*.f64 x (-.f64 x z)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x (-.f64 x z)) #s(literal 1 binary64)) (/.f64 (*.f64 z z) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) (/.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) (*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))) (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x (-.f64 x z) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x (-.f64 x z) (*.f64 z z))) (*.f64 (/.f64 (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x (-.f64 x z) (*.f64 z z))))))) |
(pow.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))) (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(*.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (fma.f64 x (-.f64 x z) (*.f64 z z)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (-.f64 x z)) (*.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))))) |
| 1× | egg-herbie |
| 6 692× | lower-fma.f64 |
| 6 692× | lower-fma.f32 |
| 4 134× | lower-*.f64 |
| 4 134× | lower-*.f32 |
| 2 180× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 4184 |
| 1 | 1481 | 4095 |
| 2 | 4547 | 3980 |
| 0 | 8297 | 3717 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(/ z x) |
(+ (/ y x) (/ z x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 (sin y)) |
(+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (/ 1 (sin y))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (sin y) 3)) (/ (cos y) (pow (sin y) 2)))) (/ 1 (sin y))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (pow (sin y) 3))))) (/ (cos y) (pow (sin y) 2)))) (/ 1 (sin y))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (/ (sin y) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (/ (sin y) (* z (pow (cos y) 2))))) z) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (/ (sin y) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin y) 2) (* z (pow (cos y) 3))) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin y) 3) (* z (pow (cos y) 4))) (/ (pow (sin y) 2) (pow (cos y) 3))) z)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(/ 1 z) |
(+ (* -1 (/ y (pow z 2))) (/ 1 z)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(+ (* y (- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow z 2))) (+ (* 1/2 (/ 1 (pow z 2))) (/ 1 (pow z 4)))))) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2)))) (/ 1 z)) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(+ x (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* z (+ 1 (* -1/2 (pow y 2))))) |
x |
(* x (+ 1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x))) |
(* x (+ 1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x))) |
(* x (+ 1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) 1))) |
x |
(+ x (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* z (+ 1 (* -1/2 (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ x z))))) |
(+ x z) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2))))) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ (* z (+ 1 (* -1/2 (pow y 2)))) x) |
(/ z x) |
(+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)) |
(+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)) |
(+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)) |
(* -1/2 (/ (* (pow y 2) z) x)) |
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2))))) |
(* -1/2 (/ (* (pow y 2) z) x)) |
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2))))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* -1/2 (pow y 2))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x)))) |
(* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z)))) |
(* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2)))))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1))) |
(/ 1 z) |
(+ (* -1 (/ x (pow z 2))) (/ 1 z)) |
(+ (* x (- (/ x (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ z x))) x) |
(/ (+ 1 (+ (* -1 (/ z x)) (/ (pow z 2) (pow x 2)))) x) |
(/ (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 3) (pow x 3))) (/ (pow z 2) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (/ z x) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 z) (/ (pow z 2) x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (pow z 2)) (/ (pow z 3) x)) x))) x)) 1) x)) |
(/ 1 x) |
(+ (* -1 (/ z (pow x 2))) (/ 1 x)) |
(+ (* z (- (/ z (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* z (- (* z (+ (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ 1 z) |
(/ (+ 1 (* -1 (/ x z))) z) |
(/ (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))) z) |
(/ (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 3) (pow z 3))) (/ (pow x 2) (pow z 2))))) z) |
(/ 1 z) |
(* -1 (/ (- (/ x z) 1) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (/ (pow x 2) z)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) z)) z))) z)) 1) z)) |
(pow z 2) |
(+ (* -1 (* x z)) (pow z 2)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(pow x 2) |
(+ (* -1 (* x z)) (pow x 2)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(* -1 z) |
(- x z) |
(- x z) |
(- x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(pow z 2) |
(+ (* -1 (* x z)) (pow z 2)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(pow x 2) |
(+ (* -1 (* x z)) (pow x 2)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x)))) |
(* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z)))) |
(* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2)))))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1))) |
(pow z 3) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(pow x 3) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(pow z 3) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(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 z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(* -1 (pow z 2)) |
(- (* -1 (* x z)) (pow z 2)) |
(- (* x (+ x (* -1 z))) (pow z 2)) |
(- (* x (+ x (* -1 z))) (pow z 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (/ (pow z 2) x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (/ (pow z 2) x)) x)))) |
(pow x 2) |
(+ (* -1 (* x z)) (pow x 2)) |
(+ (* z (+ (* -1 x) (* -1 z))) (pow x 2)) |
(+ (* z (+ (* -1 x) (* -1 z))) (pow x 2)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))) 1)) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)) 1)) |
| Outputs |
|---|
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 z (cos.f64 y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 z (cos.f64 y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(/ z x) |
(/.f64 z x) |
(+ (/ y x) (/ z x)) |
(+.f64 (/.f64 z x) (/.f64 y x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(fma.f64 (/.f64 z x) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/6 binary64) x) (/.f64 (*.f64 z #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
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(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
x |
(* x (+ 1 (/ z x))) |
(fma.f64 x (/.f64 z x) x) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x)))) |
(fma.f64 x (/.f64 z x) x) |
(* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2)))))) |
(fma.f64 x (/.f64 z x) x) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(fma.f64 x (/.f64 z x) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1))) |
(fma.f64 x (/.f64 z x) x) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1))) |
(fma.f64 x (/.f64 z x) x) |
x |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
z |
(* z (+ 1 (/ x z))) |
(fma.f64 z (/.f64 x z) z) |
(* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z)))) |
(fma.f64 z (/.f64 x z) z) |
(* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2)))))) |
(fma.f64 z (/.f64 x z) z) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(fma.f64 z (/.f64 x z) z) |
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1))) |
(fma.f64 z (/.f64 x z) z) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1))) |
(fma.f64 z (/.f64 x z) z) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(+ (pow x 3) (pow z 3)) |
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) |
(+ (pow x 3) (pow z 3)) |
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) |
(+ (pow x 3) (pow z 3)) |
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 z z) (/.f64 z (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 z z) (/.f64 z (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 z z) (/.f64 z (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 z z) (/.f64 z (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 z z) (/.f64 z (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 z z) (/.f64 z (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(+ (pow x 3) (pow z 3)) |
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) |
(+ (pow x 3) (pow z 3)) |
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) |
(+ (pow x 3) (pow z 3)) |
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 x x) (/.f64 x (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 x x) (/.f64 x (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 x x) (/.f64 x (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 x x) (/.f64 x (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 x x) (/.f64 x (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 (*.f64 x x) (/.f64 x (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
z |
(+ y z) |
(+.f64 y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 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) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(* -1 (pow z 2)) |
(*.f64 z (neg.f64 z)) |
(- (* -1 (* x z)) (pow z 2)) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(- (* x (+ x (* -1 z))) (pow z 2)) |
(fma.f64 x (-.f64 x z) (*.f64 z (neg.f64 z))) |
(- (* x (+ x (* -1 z))) (pow z 2)) |
(fma.f64 x (-.f64 x z) (*.f64 z (neg.f64 z))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(*.f64 x (fma.f64 x (/.f64 z (neg.f64 x)) x)) |
(* (pow x 2) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x))) |
(*.f64 x (*.f64 x (fma.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x))) |
(*.f64 x (*.f64 x (fma.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(*.f64 x (fma.f64 x (/.f64 z (neg.f64 x)) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (/ (pow z 2) x)) x)))) |
(*.f64 x (*.f64 x (fma.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (/ (pow z 2) x)) x)))) |
(*.f64 x (*.f64 x (fma.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(+ (* -1 (* x z)) (pow x 2)) |
(*.f64 x (-.f64 x z)) |
(+ (* z (+ (* -1 x) (* -1 z))) (pow x 2)) |
(fma.f64 x (-.f64 x z) (*.f64 z (neg.f64 z))) |
(+ (* z (+ (* -1 x) (* -1 z))) (pow x 2)) |
(fma.f64 x (-.f64 x z) (*.f64 z (neg.f64 z))) |
(* -1 (pow z 2)) |
(*.f64 z (neg.f64 z)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(*.f64 z (neg.f64 (fma.f64 z (/.f64 x z) z))) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))) 1)) |
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) z) #s(literal -1 binary64))) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))) 1)) |
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) z) #s(literal -1 binary64))) |
(* -1 (pow z 2)) |
(*.f64 z (neg.f64 z)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(*.f64 z (neg.f64 (fma.f64 z (/.f64 x z) z))) |
(* (pow z 2) (- (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)) 1)) |
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) z) #s(literal -1 binary64))) |
(* (pow z 2) (- (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)) 1)) |
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) z) #s(literal -1 binary64))) |
Compiled 71 456 to 4 673 computations (93.5% saved)
56 alts after pruning (50 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 955 | 28 | 1 983 |
| Fresh | 10 | 22 | 32 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 970 | 56 | 2 026 |
| Status | Accuracy | Program |
|---|---|---|
| 43.2% | (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x) | |
| 26.2% | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) | |
| 54.7% | (fma.f64 z (/.f64 x z) z) | |
| ✓ | 62.1% | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| 18.6% | (fma.f64 y (/.f64 z y) y) | |
| 5.6% | (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) | |
| 48.4% | (fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x) | |
| 69.2% | (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x))) x) x) | |
| 48.4% | (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x) | |
| 71.9% | (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) x) | |
| 52.9% | (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) | |
| 59.1% | (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x) | |
| 58.4% | (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x) | |
| 85.7% | (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x))) x) | |
| 68.5% | (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (pow.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal -1 binary64)))) x) | |
| 44.4% | (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x) | |
| 52.9% | (fma.f64 x (/.f64 (sin.f64 y) x) x) | |
| 59.2% | (fma.f64 x (/.f64 z x) x) | |
| 28.2% | (fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) | |
| 47.0% | (fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) | |
| 71.9% | (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) | |
| 28.7% | (fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x) | |
| 7.9% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) | |
| 8.3% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) | |
| 9.9% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x))) | |
| 10.3% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z)) | |
| 11.3% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z))) | |
| 11.7% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) | |
| 18.5% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) | |
| 82.8% | (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))) | |
| 12.0% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) | |
| 8.1% | (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) | |
| 11.2% | (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) | |
| 11.2% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x)))) | |
| 16.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) | |
| 38.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) | |
| 27.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)) | |
| 9.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) | |
| 61.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)))) | |
| 51.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)))) | |
| 52.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) | |
| 34.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) | |
| 27.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) | |
| 39.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 18.6% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) | |
| 62.1% | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) | |
| ✓ | 52.9% | (+.f64 (sin.f64 y) x) |
| 35.9% | (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64)))))))))) | |
| ✓ | 30.0% | (+.f64 z y) |
| ✓ | 64.7% | (+.f64 z x) |
| ✓ | 34.4% | (+.f64 x y) |
| 16.1% | (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) | |
| 2.8% | (*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64))) | |
| 2.8% | (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) | |
| 48.6% | (*.f64 z (cos.f64 y)) | |
| ✓ | 15.8% | (sin.f64 y) |
Compiled 2 409 to 828 computations (65.6% saved)
| Inputs |
|---|
(+.f64 x y) |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 y (+.f64 z x)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (/.f64 z y) y) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 z (/.f64 x z) z) |
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) |
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x) |
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x)))) |
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x)) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)))) |
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x)) |
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64)))))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(sin.f64 y) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) |
(+.f64 (sin.f64 y) x) |
(*.f64 z (cos.f64 y)) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x))) x) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (pow.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal -1 binary64)))) x) |
(fma.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) x)) (sin.f64 y)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(+.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
4 calls:
| 32.0ms | x |
| 27.0ms | z |
| 25.0ms | y |
| 25.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(+.f64 x y) |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 y (+.f64 z x)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (/.f64 z y) y) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 z (/.f64 x z) z) |
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) |
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x) |
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x)))) |
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x)) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)))) |
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x)) |
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64)))))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(sin.f64 y) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) |
(+.f64 (sin.f64 y) x) |
(*.f64 z (cos.f64 y)) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
4 calls:
| 23.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 23.0ms | x |
| 22.0ms | z |
| 21.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(+.f64 x y) |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 y (+.f64 z x)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (/.f64 z y) y) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 z (/.f64 x z) z) |
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) |
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x) |
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x)))) |
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x)) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)))) |
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x)) |
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64)))))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(sin.f64 y) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) |
(+.f64 (sin.f64 y) x) |
(*.f64 z (cos.f64 y)) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| Outputs |
|---|
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) |
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) |
4 calls:
| 28.0ms | x |
| 23.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 23.0ms | y |
| 22.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 3 | x |
| 87.6% | 4 | y |
| 91.9% | 5 | z |
| 85.5% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(+.f64 x y) |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 y (+.f64 z x)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (/.f64 z y) y) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 z (/.f64 x z) z) |
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) |
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x) |
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x)))) |
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x)) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)))) |
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x)) |
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64)))))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(sin.f64 y) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) |
(+.f64 (sin.f64 y) x) |
(*.f64 z (cos.f64 y)) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
| Outputs |
|---|
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) |
1 calls:
| 26.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 3 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(+.f64 x y) |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 y (+.f64 z x)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (/.f64 z y) y) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 z (/.f64 x z) z) |
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) |
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x) |
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x)))) |
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x)) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)))) |
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x)) |
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64)))))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(sin.f64 y) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) |
(+.f64 (sin.f64 y) x) |
(*.f64 z (cos.f64 y)) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) x) |
| Outputs |
|---|
(*.f64 z (cos.f64 y)) |
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) |
(+.f64 (sin.f64 y) x) |
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) |
(*.f64 z (cos.f64 y)) |
2 calls:
| 31.0ms | x |
| 21.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 5 | z |
| 85.8% | 4 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(+.f64 x y) |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 y (+.f64 z x)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (/.f64 z y) y) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 z (/.f64 x z) z) |
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) |
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x) |
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x)))) |
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x)) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)))) |
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x)) |
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64)))))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(sin.f64 y) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) |
(+.f64 (sin.f64 y) x) |
(*.f64 z (cos.f64 y)) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
| Outputs |
|---|
(*.f64 z (cos.f64 y)) |
(+.f64 (sin.f64 y) x) |
(+.f64 z x) |
(*.f64 z (cos.f64 y)) |
2 calls:
| 232.0ms | z |
| 21.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 5 | y |
| 86.5% | 4 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(+.f64 x y) |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 y (+.f64 z x)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (/.f64 z y) y) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 z (/.f64 x z) z) |
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) |
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x) |
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x)))) |
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x)) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)))) |
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x)) |
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64)))))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(sin.f64 y) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) |
(+.f64 (sin.f64 y) x) |
| Outputs |
|---|
(+.f64 (sin.f64 y) x) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(+.f64 (sin.f64 y) x) |
4 calls:
| 150.0ms | y |
| 22.0ms | z |
| 22.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 3 | y |
| 78.2% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 64.7% | 1 | x |
| 75.8% | 3 | z |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(+.f64 x y) |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 y (+.f64 z x)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (/.f64 z y) y) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 z (/.f64 x z) z) |
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) |
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x) |
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x)))) |
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x)) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)))) |
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x)) |
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64)))))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(sin.f64 y) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) |
| Outputs |
|---|
(+.f64 z x) |
(sin.f64 y) |
(+.f64 y (+.f64 z x)) |
(sin.f64 y) |
(+.f64 z x) |
3 calls:
| 23.0ms | y |
| 23.0ms | z |
| 22.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 64.7% | 1 | z |
| 64.7% | 1 | y |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(+.f64 x y) |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 y (+.f64 z x)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (/.f64 z y) y) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 z (/.f64 x z) z) |
(+.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(fma.f64 x (*.f64 (/.f64 z x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) |
(fma.f64 x (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) x) x) |
(+.f64 z (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 x (-.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 z (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x)))) |
(fma.f64 x (fma.f64 (*.f64 (/.f64 z x) (*.f64 y #s(literal -1/2 binary64))) y (/.f64 z x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 z x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 z (*.f64 y (*.f64 y x)))))) x) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 z x)) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) x) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (+.f64 x z)) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) x)))) |
(+.f64 z (fma.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) x)) |
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64)))))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 z z))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 z x)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))))) |
| Outputs |
|---|
(+.f64 z x) |
2 calls:
| 41.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 33.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 1 | z |
| 64.7% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 16 to 11 computations (31.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(+.f64 x y) |
| Outputs |
|---|
(+.f64 x y) |
4 calls:
| 1.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.4% | 1 | x |
| 34.4% | 1 | y |
| 34.4% | 1 | z |
| 34.4% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 1.4640659004047747e-83 | 1.020051625647641e-81 |
| 13.0ms | -6.308754432109428e-31 | -1.809384730883463e-32 |
| 19.0ms | 224× | 0 | valid |
Compiled 351 to 238 computations (32.2% saved)
ival-sin: 5.0ms (37% of total)ival-cos: 4.0ms (29.6% of total)ival-add: 2.0ms (14.8% of total)ival-mult: 1.0ms (7.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4640659004047747e-83 | 1.020051625647641e-81 |
| 1.0ms | -6.308754432109428e-31 | -1.809384730883463e-32 |
Compiled 337 to 224 computations (33.5% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 6.317229405982992e+128 | 2.552729904494262e+133 |
| 14.0ms | 5.663892069072542e-41 | 1.0859946625844453e-39 |
| 22.0ms | -2.1426912468612647e-15 | -5.896814457156947e-43 |
| 35.0ms | -2.3633232533256177e+167 | -4.3435547275566846e+145 |
| 55.0ms | 591× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 792 to 532 computations (32.8% saved)
ival-sin: 17.0ms (43.6% of total)ival-cos: 12.0ms (30.7% of total)ival-add: 5.0ms (12.8% of total)ival-mult: 4.0ms (10.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 4.399895928877246e+98 | 4.645982155275224e+110 |
| 5.0ms | 5.663892069072542e-41 | 1.0859946625844453e-39 |
| 13.0ms | -1.5669877741825493e+35 | -1.6228662722490152e+33 |
| 27.0ms | 288× | 0 | valid |
Compiled 382 to 285 computations (25.4% saved)
ival-sin: 6.0ms (37% of total)ival-cos: 5.0ms (30.8% of total)ival-add: 3.0ms (18.5% of total)ival-mult: 2.0ms (12.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 50.0ms | 0.00030959248037435897 | 887602.4592445394 |
| 18.0ms | -176003111.80955875 | -9.436977967332939e-9 |
| 57.0ms | 304× | 0 | valid |
Compiled 452 to 318 computations (29.6% saved)
ival-sin: 39.0ms (78.7% of total)ival-add: 5.0ms (10.1% of total)ival-cos: 3.0ms (6.1% of total)ival-mult: 2.0ms (4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.998819862015136 | 2332595941482877.0 |
| 0.0ms | 0.00046972307652135437 | 0.004530175706845828 |
| 0.0ms | -0.0031444132512958006 | -1.3987497064534616e-8 |
| 0.0ms | -74.18811992942169 | -0.9997398579356592 |
Compiled 15 to 14 computations (6.7% saved)
| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 251 |
| 1 | 84 | 251 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(if (<=.f64 x #s(literal -321130730858841/1427247692705959881058285969449495136382746624 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 x #s(literal 4058375368249729/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x))) |
(if (<=.f64 x #s(literal -321130730858841/1427247692705959881058285969449495136382746624 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 x #s(literal 4058375368249729/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (fma.f64 z (cos.f64 y) (sin.f64 y)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x))) |
(if (<=.f64 z #s(literal -13000000000000000068854692121013884292779726133396128089903237832704952831799783720221566041622466430723711470731848003560974623047162097248422068224 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -5399988732876221/10384593717069655257060992658440192 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 z #s(literal 5149185017309387/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 560000000000000013777520719591664897558440204059126177149366496673309125547916630310530493351124372885825064123224297913175534206976 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 z #s(literal -6499999999999999934469377567490048 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 5394384303847929/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 4400000000000000253891805525538115834697908013296913255774276900982587228152474673432385659958066518643703808 binary64)) (+.f64 z x) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -3512807709348987/18014398509481984 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 2116691824864133/9007199254740992 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 (sin.f64 y) x))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -50 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1152921504606847/576460752303423488 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1152921504606847/2305843009213693952 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 z x))))) |
(+.f64 z x) |
(+.f64 x y) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(if (<=.f64 x #s(literal -321130730858841/1427247692705959881058285969449495136382746624 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 x #s(literal 4058375368249729/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x))) |
(if (<=.f64 x #s(literal -321130730858841/1427247692705959881058285969449495136382746624 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 x #s(literal 4058375368249729/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (fma.f64 z (cos.f64 y) (sin.f64 y)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x))) |
(if (<=.f64 z #s(literal -13000000000000000068854692121013884292779726133396128089903237832704952831799783720221566041622466430723711470731848003560974623047162097248422068224 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -5399988732876221/10384593717069655257060992658440192 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 z #s(literal 5149185017309387/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 560000000000000013777520719591664897558440204059126177149366496673309125547916630310530493351124372885825064123224297913175534206976 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 z #s(literal -13000000000000000068854692121013884292779726133396128089903237832704952831799783720221566041622466430723711470731848003560974623047162097248422068224 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -5399988732876221/10384593717069655257060992658440192 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (if (<=.f64 z #s(literal 5149185017309387/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 560000000000000013777520719591664897558440204059126177149366496673309125547916630310530493351124372885825064123224297913175534206976 binary64)) (fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) x) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 z #s(literal -6499999999999999934469377567490048 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 5394384303847929/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 4400000000000000253891805525538115834697908013296913255774276900982587228152474673432385659958066518643703808 binary64)) (+.f64 z x) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 z #s(literal -6499999999999999934469377567490048 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 5394384303847929/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 4400000000000000253891805525538115834697908013296913255774276900982587228152474673432385659958066518643703808 binary64)) (+.f64 x z) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -3512807709348987/18014398509481984 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 2116691824864133/9007199254740992 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 (sin.f64 y) x))) |
(if (<=.f64 y #s(literal -3512807709348987/18014398509481984 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 2116691824864133/9007199254740992 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 x (sin.f64 y)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -50 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1152921504606847/576460752303423488 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1152921504606847/2305843009213693952 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 z x))))) |
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -50 binary64)) (+.f64 x z) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -1152921504606847/576460752303423488 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 1152921504606847/2305843009213693952 binary64)) (+.f64 y (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 x z))))) |
(+.f64 z x) |
(+.f64 x z) |
(+.f64 x y) |
| 13 312× | lower-fma.f64 |
| 13 312× | lower-fma.f32 |
| 11 712× | lower-fma.f64 |
| 11 712× | lower-fma.f32 |
| 11 284× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 1886 |
| 1 | 591 | 1868 |
| 2 | 1681 | 1800 |
| 3 | 6059 | 1788 |
| 0 | 8244 | 1604 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 852 | 633 |
| 3 | 2193 | 631 |
| 4 | 4247 | 631 |
| 5 | 7326 | 631 |
| 0 | 8046 | 578 |
| 0 | 314 | 2696 |
| 1 | 1009 | 2671 |
| 2 | 3143 | 2605 |
| 0 | 8392 | 2409 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 469 to 213 computations (54.6% saved)
Compiled 532 to 154 computations (71.1% saved)
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