
Time bar (total: 10.4s)
| 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)
| 769.0ms | 8 252× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
| 0.0ms | 2× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-cos: 194.0ms (35.2% of total)ival-sin: 184.0ms (33.4% of total)ival-sub: 65.0ms (11.8% of total)ival-mult: 53.0ms (9.6% of total)ival-add: 47.0ms (8.5% of total)ival-true: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 358× | sub-neg |
| 352× | cancel-sign-sub-inv |
| 302× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 101 | 84 |
| 2 | 248 | 83 |
| 3 | 583 | 83 |
| 4 | 1151 | 83 |
| 5 | 1530 | 83 |
| 6 | 1814 | 83 |
| 7 | 2069 | 83 |
| 8 | 2092 | 83 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 42 | 9 |
| 3 | 66 | 9 |
| 4 | 97 | 9 |
| 5 | 151 | 9 |
| 6 | 264 | 9 |
| 7 | 398 | 9 |
| 8 | 480 | 9 |
| 9 | 528 | 9 |
| 10 | 558 | 9 |
| 0 | 558 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| 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 |
| 77.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-mult: 32.0ms (53.1% of total)ival-sin: 12.0ms (19.9% of total)ival-cos: 11.0ms (18.2% of total)ival-sub: 2.0ms (3.3% of total)ival-add: 2.0ms (3.3% 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 (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 x (cos.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 160× | lower-*.f32 |
| 158× | lower-*.f64 |
| 120× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 22 | 24 |
| 2 | 42 | 24 |
| 3 | 66 | 24 |
| 4 | 97 | 24 |
| 5 | 151 | 24 |
| 6 | 264 | 24 |
| 7 | 398 | 24 |
| 8 | 480 | 24 |
| 9 | 528 | 24 |
| 10 | 558 | 24 |
| 0 | 558 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 x (cos.f64 y)) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| 43.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (37.3% of total)ival-sin: 5.0ms (31.1% of total)ival-mult: 2.0ms (12.4% of total)ival-sub: 1.0ms (6.2% of total)ival-add: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))> |
#<alt (+.f64 x (cos.f64 y))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 z (sin.f64 y))> |
| Outputs |
|---|
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (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 (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 1.0ms | z | @ | 0 | (* z (sin y)) |
| 1.0ms | y | @ | inf | (- (+ x (cos y)) (* z (sin y))) |
| 0.0ms | z | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 0.0ms | y | @ | -inf | (- (+ x (cos y)) (* z (sin y))) |
| 1× | batch-egg-rewrite |
| 4 620× | lower-*.f32 |
| 4 618× | lower-*.f64 |
| 4 548× | lower-fma.f64 |
| 4 548× | lower-fma.f32 |
| 2 418× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 47 | 19 |
| 2 | 388 | 19 |
| 3 | 5630 | 19 |
| 0 | 8225 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(+.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal -1 binary64))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))) |
(fma.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (+.f64 x (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (+.f64 x (cos.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (cos.f64 y)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 x (cos.f64 y)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x (cos.f64 y)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 x (cos.f64 y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (cos.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))))) |
(*.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (cos.f64 y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 x (cos.f64 y)) (*.f64 x x))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
| 1× | egg-herbie |
| 10 746× | lower-fma.f64 |
| 10 746× | lower-fma.f32 |
| 3 588× | lower-*.f64 |
| 3 588× | lower-*.f32 |
| 2 024× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 771 | 605 |
| 3 | 2082 | 601 |
| 4 | 4360 | 601 |
| 5 | 6324 | 601 |
| 0 | 8449 | 579 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (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) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 #s(literal 1 binary64) (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)) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 y (*.f64 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 (*.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) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (*.f64 y z) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z (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)))) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
Compiled 7 281 to 616 computations (91.5% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 11 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 269 | 11 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| 73.0% | (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) | |
| ▶ | 52.8% | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
| 57.2% | (-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) | |
| ▶ | 84.9% | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
| 60.6% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| 58.3% | (-.f64 x (fma.f64 y z #s(literal -1 binary64))) | |
| ▶ | 73.9% | (+.f64 (cos.f64 y) x) |
| ▶ | 59.8% | (+.f64 x #s(literal 1 binary64)) |
| 50.9% | (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) | |
| 27.4% | (*.f64 (sin.f64 y) (neg.f64 z)) |
Compiled 342 to 214 computations (37.4% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 y) x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
| ✓ | cost-diff | 128 | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
| 2 056× | lower-fma.f32 |
| 2 054× | lower-fma.f64 |
| 568× | lower-*.f32 |
| 564× | lower-*.f64 |
| 520× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 112 |
| 0 | 32 | 108 |
| 1 | 56 | 108 |
| 2 | 110 | 108 |
| 3 | 216 | 108 |
| 4 | 367 | 108 |
| 5 | 618 | 108 |
| 6 | 1043 | 108 |
| 7 | 1588 | 108 |
| 8 | 2001 | 108 |
| 9 | 2110 | 108 |
| 10 | 2128 | 108 |
| 11 | 2147 | 108 |
| 12 | 2163 | 108 |
| 13 | 2172 | 108 |
| 14 | 2173 | 108 |
| 0 | 2173 | 106 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
x |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
y |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(-.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) z) #s(literal -1 binary64))) |
y |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
x |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 x (fma.f64 z (sin.f64 y) #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (cos.f64 y) x) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
| 86.0ms | 256× | 0 | valid |
Compiled 115 to 21 computations (81.7% saved)
ival-cos: 7.0ms (25.1% of total)ival-sin: 5.0ms (17.9% of total)ival-add: 4.0ms (14.3% of total)ival-mult: 4.0ms (14.3% of total)ival-div: 3.0ms (10.8% of total)ival-sub: 3.0ms (10.8% 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))> |
#<alt (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))> |
#<alt (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))> |
#<alt (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)> |
#<alt (*.f64 y #s(literal -1/2 binary64))> |
#<alt (+.f64 (cos.f64 y) x)> |
#<alt (cos.f64 y)> |
#<alt (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (sin.f64 y)> |
| Outputs |
|---|
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (/ 1 (- (cos y) (* z (sin y))))> |
#<alt (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))> |
#<alt (+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))> |
#<alt (/ 1 x)> |
#<alt (/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)> |
#<alt (/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))> |
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (+ x (cos y)))> |
#<alt (+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))> |
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))> |
#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)> |
#<alt (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)> |
#<alt (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (+ 1 (* y (- (* -1/2 y) z)))> |
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (cos y)> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (* -1 (* y z))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (+ 1 (* y (- (* -1/2 y) z)))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (* -1 z)> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* 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 (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (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 (- 1 (* z (sin y)))> |
#<alt (- (+ 1 x) (* z (sin y)))> |
#<alt (- (+ 1 x) (* z (sin y)))> |
#<alt (- (+ 1 x) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* z (sin y)))))> |
#<alt (+ 1 (+ x (* -1 (* z (sin y)))))> |
#<alt (+ 1 (+ x (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) (sin y)))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) (sin y)))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z))))> |
#<alt (+ 1 (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))))> |
#<alt (- (+ 1 x) (* z (sin y)))> |
#<alt (- (+ 1 x) (* z (sin y)))> |
#<alt (- (+ 1 x) (* z (sin y)))> |
#<alt (- (+ 1 x) (* z (sin y)))> |
#<alt (- (+ 1 x) (* z (sin y)))> |
#<alt (- (+ 1 x) (* z (sin y)))> |
#<alt (- (+ 1 x) (* z (sin y)))> |
#<alt (- (+ 1 x) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (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)> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | -inf | (/ 1 (+ x (- (cos y) (* z (sin y))))) |
| 4.0ms | y | @ | inf | (/ 1 (+ x (- (cos y) (* z (sin y))))) |
| 1.0ms | y | @ | 0 | (+ (* y (- (* y -1/2) z)) (+ x 1)) |
| 1.0ms | y | @ | inf | (+ (* y (- (* y -1/2) z)) (+ x 1)) |
| 1.0ms | z | @ | inf | (/ 1 (+ x (- (cos y) (* z (sin y))))) |
| 1× | batch-egg-rewrite |
| 7 858× | lower-fma.f32 |
| 7 856× | lower-fma.f64 |
| 4 044× | lower-/.f32 |
| 4 040× | lower-/.f64 |
| 3 866× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 81 |
| 0 | 32 | 77 |
| 1 | 145 | 77 |
| 2 | 1186 | 77 |
| 0 | 8347 | 77 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (neg.f64 (fma.f64 z (sin.f64 y) (neg.f64 x)))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(exp.f64 (log.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) #s(literal 1 binary64))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1 binary64))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (fma.f64 z (sin.f64 y) (neg.f64 x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.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)))) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.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)))) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (/.f64 (*.f64 x x) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (+.f64 x (cos.f64 y)) (*.f64 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 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(fma.f64 #s(literal 1 binary64) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z (sin.f64 y) (+.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))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (sin.f64 y) (+.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))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))))))) |
(/.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 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y))))) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z (sin.f64 y) (+.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))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (sin.f64 y) (+.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))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 z (sin.f64 y)))) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (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 #s(literal 1 binary64) x) (*.f64 (sin.f64 y) (neg.f64 z)))))))) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.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) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.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) (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(sin.f64 y) |
| 1× | egg-herbie |
| 10 770× | lower-fma.f64 |
| 10 770× | lower-fma.f32 |
| 5 746× | lower-+.f64 |
| 5 746× | lower-+.f32 |
| 5 002× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 398 | 3273 |
| 1 | 1188 | 3216 |
| 2 | 3551 | 3086 |
| 0 | 8449 | 2973 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(/ 1 (- (cos y) (* z (sin y)))) |
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y))))) |
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y))))) |
(/ 1 x) |
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x) |
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x)) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/ 1 (+ x (cos y))) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z) |
(/ -1 (* z (sin y))) |
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(* -1/2 y) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1/2 y) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(* -1 z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 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) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (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) |
(- 1 (* z (sin y))) |
(- (+ 1 x) (* z (sin y))) |
(- (+ 1 x) (* z (sin y))) |
(- (+ 1 x) (* z (sin y))) |
x |
(* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* z (sin y))))) |
(+ 1 (+ x (* -1 (* z (sin y))))) |
(+ 1 (+ x (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ 1 z) (/ x z)) (sin y))) |
(* z (- (+ (/ 1 z) (/ x z)) (sin y))) |
(* z (- (+ (/ 1 z) (/ x z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(+ 1 (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))) |
(- (+ 1 x) (* z (sin y))) |
(- (+ 1 x) (* z (sin y))) |
(- (+ 1 x) (* z (sin y))) |
(- (+ 1 x) (* z (sin y))) |
(- (+ 1 x) (* z (sin y))) |
(- (+ 1 x) (* z (sin y))) |
(- (+ 1 x) (* z (sin y))) |
(- (+ 1 x) (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (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) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/ 1 (- (cos y) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) |
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y))))) |
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x) |
(/.f64 (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (*.f64 x (*.f64 x x)))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) x)) x)) (neg.f64 x)) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (fma.f64 z (/.f64 (fma.f64 z (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1/6 binary64)))) (neg.f64 y) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(/ 1 (- (+ x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
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(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
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(neg.f64 z) |
(- (* -1/2 y) z) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(- (* -1/2 y) z) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(- (* -1/2 y) z) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* y (- (* -1 (/ z y)) 1/2)) |
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* y (- (* -1 (/ z y)) 1/2)) |
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(+ (* -1 z) (* -1/2 y)) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(+ (* -1 z) (* -1/2 y)) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(+ (* -1 z) (* -1/2 y)) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64))) |
(* z (- (* -1/2 (/ y z)) 1)) |
(*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64))) |
(* z (- (* -1/2 (/ y z)) 1)) |
(*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(fma.f64 (*.f64 z (/.f64 y z)) #s(literal -1/2 binary64) (neg.f64 z)) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(fma.f64 (*.f64 z (/.f64 y z)) #s(literal -1/2 binary64) (neg.f64 z)) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(fma.f64 (*.f64 z (/.f64 y z)) #s(literal -1/2 binary64) (neg.f64 z)) |
(* -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)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 #s(literal 1 binary64) (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)) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y 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) |
(- 1 (* z (sin y))) |
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(- (+ 1 x) (* z (sin y))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(- (+ 1 x) (* z (sin y))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(- (+ 1 x) (* z (sin y))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
x |
(* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) x) x) |
(* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) x) x) |
(* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (sin.f64 y) #s(literal -1 binary64)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (sin.f64 y) #s(literal -1 binary64)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (sin.f64 y) #s(literal -1 binary64)) x)) (neg.f64 x)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(+ 1 (+ x (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(+ 1 (+ x (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (+ (/ 1 z) (/ x z)) (sin y))) |
(fma.f64 z (-.f64 (/.f64 x z) (sin.f64 y)) #s(literal 1 binary64)) |
(* z (- (+ (/ 1 z) (/ x z)) (sin y))) |
(fma.f64 z (-.f64 (/.f64 x z) (sin.f64 y)) #s(literal 1 binary64)) |
(* z (- (+ (/ 1 z) (/ x z)) (sin y))) |
(fma.f64 z (-.f64 (/.f64 x z) (sin.f64 y)) #s(literal 1 binary64)) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) (sin.f64 y))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))) |
(fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) |
(- (+ 1 x) (* z (sin y))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(- (+ 1 x) (* z (sin y))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(- (+ 1 x) (* z (sin y))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(- (+ 1 x) (* z (sin y))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(- (+ 1 x) (* z (sin y))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(- (+ 1 x) (* z (sin y))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(- (+ 1 x) (* z (sin y))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(- (+ 1 x) (* z (sin y))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64)))) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y 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 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
Compiled 25 380 to 2 079 computations (91.8% saved)
31 alts after pruning (28 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 025 | 24 | 1 049 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 029 | 31 | 1 060 |
| Status | Accuracy | Program |
|---|---|---|
| 58.2% | (fma.f64 (-.f64 #s(literal 1 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 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) x) | |
| 50.5% | (fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) | |
| 26.2% | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) | |
| 51.7% | (fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| 59.0% | (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 35.7% | (/.f64 (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64)) (+.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64))) | |
| 39.2% | (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) | |
| 30.5% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) | |
| 57.3% | (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| 25.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)) | |
| ▶ | 52.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
| 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) | |
| 58.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) | |
| ▶ | 40.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| 27.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) | |
| 57.2% | (-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) | |
| 49.1% | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y))) | |
| ✓ | 84.9% | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
| 60.6% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| 58.3% | (-.f64 x (fma.f64 y z #s(literal -1 binary64))) | |
| 45.9% | (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) | |
| 43.1% | (+.f64 (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)) x) | |
| ✓ | 73.9% | (+.f64 (cos.f64 y) x) |
| ✓ | 59.8% | (+.f64 x #s(literal 1 binary64)) |
| 46.3% | (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal 1 binary64)))) | |
| ▶ | 27.4% | (*.f64 (sin.f64 y) (neg.f64 z)) |
| ▶ | 90.6% | (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
| 8.9% | (*.f64 y (neg.f64 z)) | |
| 2.9% | (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) | |
| 35.0% | (cos.f64 y) | |
| ▶ | 21.3% | #s(literal 1 binary64) |
Compiled 924 to 566 computations (38.7% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 z) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 y) (neg.f64 z)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 128 | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 y) x) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (cos.f64 y) x) z) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
| ✓ | cost-diff | 704 | (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
| 3 840× | lower-fma.f32 |
| 3 838× | lower-fma.f64 |
| 1 980× | lower-/.f32 |
| 1 970× | lower-/.f64 |
| 1 780× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 111 |
| 0 | 38 | 103 |
| 1 | 60 | 103 |
| 2 | 111 | 103 |
| 3 | 232 | 103 |
| 4 | 412 | 103 |
| 5 | 614 | 101 |
| 6 | 1041 | 101 |
| 7 | 1694 | 101 |
| 8 | 3436 | 101 |
| 9 | 5136 | 101 |
| 10 | 6121 | 101 |
| 11 | 6525 | 101 |
| 12 | 6605 | 101 |
| 13 | 6623 | 101 |
| 14 | 7466 | 101 |
| 0 | 8093 | 98 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
z |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(sin.f64 y) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
y |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
(+.f64 x #s(literal 1 binary64)) |
x |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
| Outputs |
|---|
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
z |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(sin.f64 y) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
(-.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) z) #s(literal -1 binary64)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(-.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) z) #s(literal -1 binary64))) |
y |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
(+.f64 x #s(literal 1 binary64)) |
x |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 y) (neg.f64 z)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (+.f64 (cos.f64 y) x) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 (cos.f64 y) x) z) |
| ✓ | accuracy | 90.6% | (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
| 79.0ms | 256× | 0 | valid |
Compiled 116 to 24 computations (79.3% saved)
ival-div: 8.0ms (23.4% of total)ival-cos: 8.0ms (23.4% of total)ival-mult: 6.0ms (17.6% of total)ival-sin: 6.0ms (17.6% of total)ival-add: 3.0ms (8.8% of total)ival-sub: 2.0ms (5.9% of total)ival-neg: 1.0ms (2.9% 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 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))> |
#<alt (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))> |
#<alt (/.f64 (+.f64 (cos.f64 y) x) z)> |
#<alt (+.f64 (cos.f64 y) x)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))))> |
#<alt (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))> |
#<alt (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)> |
#<alt (*.f64 (sin.f64 y) (neg.f64 z))> |
#<alt (sin.f64 y)> |
#<alt (neg.f64 z)> |
#<alt (*.f64 y #s(literal -1/2 binary64))> |
| Outputs |
|---|
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* z (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z))))> |
#<alt (+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z))))> |
#<alt (+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z))))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (+ (/ 1 z) (/ x z))> |
#<alt (+ (* -1 y) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z)))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (/ x z)> |
#<alt (* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (/ x z)> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)> |
#<alt (* -1 (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (/ (+ 1 x) z)> |
#<alt (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z)))> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (cos y) z)> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (/ x z)> |
#<alt (* x (+ (/ 1 z) (/ (cos y) (* x z))))> |
#<alt (* x (+ (/ 1 z) (/ (cos y) (* x z))))> |
#<alt (* x (+ (/ 1 z) (/ (cos y) (* x z))))> |
#<alt (/ x z)> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (* -1 (* y z))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (+ 1 (* y (- (* -1/2 y) z)))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (* -1 (* y z))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (+ 1 (* y (- (* -1/2 y) z)))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))> |
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (* -1/2 (/ z (pow (+ 1 x) 3)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (/ -2 (pow y 2))> |
#<alt (/ (- (* 4 (/ z y)) 2) (pow y 2))> |
#<alt (/ (- (* -1 (/ (+ (* 4 (+ 1 x)) (* 8 (pow z 2))) (pow y 2))) (+ 2 (* -4 (/ z y)))) (pow y 2))> |
#<alt (/ (- (* -1 (/ (+ (* -8 (* z (+ 1 x))) (* -2 (* z (+ (* 4 (+ 1 x)) (* 8 (pow z 2)))))) (pow y 3))) (+ 2 (+ (* -4 (/ z y)) (+ (* 4 (/ (+ 1 x) (pow y 2))) (* 8 (/ (pow z 2) (pow y 2))))))) (pow y 2))> |
#<alt (/ -2 (pow y 2))> |
#<alt (/ (- (* 4 (/ z y)) 2) (pow y 2))> |
#<alt (/ (- (* -1 (/ (- (+ (* 4 (/ (+ 1 x) y)) (* 8 (/ (pow z 2) y))) (* 4 z)) y)) 2) (pow y 2))> |
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* z (+ (* 4 (+ 1 x)) (* 8 (pow z 2)))) y)) (* 8 (/ (* z (+ 1 x)) y))) (+ (* 4 (+ 1 x)) (* 8 (pow z 2)))) y)) (* 4 z)) y)) 2) (pow y 2))> |
#<alt (/ 1 (+ 1 (+ x (* -1/2 (pow y 2)))))> |
#<alt (+ (/ 1 (+ 1 (+ x (* -1/2 (pow y 2))))) (/ (* y z) (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 2)))> |
#<alt (+ (* z (- (/ (* (pow y 2) z) (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 3)) (* -1 (/ y (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 2))))) (/ 1 (+ 1 (+ x (* -1/2 (pow y 2))))))> |
#<alt (+ (* z (- (* z (- (/ (* (pow y 3) z) (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 4)) (* -1 (/ (pow y 2) (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 3))))) (* -1 (/ y (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 2))))) (/ 1 (+ 1 (+ x (* -1/2 (pow y 2))))))> |
#<alt (/ -1 (* y z))> |
#<alt (/ (- (* 1/2 (/ 1 z)) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))))) z)> |
#<alt (/ (- (+ (* 1/2 (/ 1 z)) (/ (* (+ 1 (+ x (* -1/2 (pow y 2)))) (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2))))) (* y (pow z 2)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))))) z)> |
#<alt (/ (- (+ (* 1/2 (/ 1 z)) (/ (* (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 2) (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2))))) (* (pow y 2) (pow z 3)))) (+ (* -1 (/ (* (+ 1 (+ x (* -1/2 (pow y 2)))) (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2))))) (* y (pow z 2)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z)))))) z)> |
#<alt (/ -1 (* y z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ 1/2 (/ (* (+ 1 (+ x (* -1/2 (pow y 2)))) (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2))))) (* y z))) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (* (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 2) (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2))))) (* (pow y 2) z))) (/ (* (+ 1 (+ x (* -1/2 (pow y 2)))) (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2))))) y)) z))) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z))> |
#<alt (/ 1 (+ 1 (* y (- (* -1/2 y) z))))> |
#<alt (+ (* -1 (/ x (pow (+ 1 (* y (- (* -1/2 y) z))) 2))) (/ 1 (+ 1 (* y (- (* -1/2 y) z)))))> |
#<alt (+ (* x (- (/ x (pow (+ 1 (* y (- (* -1/2 y) z))) 3)) (/ 1 (pow (+ 1 (* y (- (* -1/2 y) z))) 2)))) (/ 1 (+ 1 (* y (- (* -1/2 y) z)))))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ 1 (* y (- (* -1/2 y) z))) 4))) (/ 1 (pow (+ 1 (* y (- (* -1/2 y) z))) 3)))) (/ 1 (pow (+ 1 (* y (- (* -1/2 y) z))) 2)))) (/ 1 (+ 1 (* y (- (* -1/2 y) z)))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x))) x)> |
#<alt (/ (- (+ 1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) (pow x 2))) (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))) x)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) (pow x 2))) (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) x) (+ 1 (* y (- (* -1/2 y) z)))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 3) x) (pow (+ 1 (* y (- (* -1/2 y) z))) 2)) x)) (+ 1 (* y (- (* -1/2 y) z)))) x)) 1) x))> |
#<alt (* -1 z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (* -1 z)> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1 (* y z))> |
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 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)> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | z | @ | 0 | (* z (- (/ (+ (cos y) x) z) (sin y))) |
| 3.0ms | y | @ | -inf | (* z (- (/ (+ (cos y) x) z) (sin y))) |
| 3.0ms | z | @ | inf | (/ 1 (+ (* y (- (* y -1/2) z)) (+ x 1))) |
| 1.0ms | y | @ | inf | (* z (- (/ (+ (cos y) x) z) (sin y))) |
| 1.0ms | z | @ | inf | (* z (- (/ (+ (cos y) x) z) (sin y))) |
| 1× | batch-egg-rewrite |
| 6 280× | lower-fma.f32 |
| 6 278× | lower-fma.f64 |
| 4 212× | lower-/.f32 |
| 4 202× | lower-/.f64 |
| 4 034× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 91 |
| 0 | 38 | 83 |
| 1 | 150 | 83 |
| 2 | 1112 | 83 |
| 0 | 8338 | 82 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(+.f64 (cos.f64 y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(sin.f64 y) |
(neg.f64 z) |
(*.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 z (/.f64 (+.f64 (cos.f64 y) x) z)) (*.f64 z (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) x) z) z) (neg.f64 (*.f64 z (sin.f64 y)))) |
(-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) x) z) z) (*.f64 z (sin.f64 y))) |
(fma.f64 z (/.f64 (+.f64 (cos.f64 y) x) z) (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 (/.f64 (+.f64 (cos.f64 y) x) z) z (neg.f64 (*.f64 z (sin.f64 y)))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z)) (neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 (+.f64 (cos.f64 y) x) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 (+.f64 (cos.f64 y) x) z)) (*.f64 z (/.f64 (+.f64 (cos.f64 y) x) z)) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 z (/.f64 (+.f64 (cos.f64 y) x) z)) (*.f64 z (neg.f64 (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) x) z) z) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) x) z) z) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) z) z) (-.f64 (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) (neg.f64 (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) x) z) z) (neg.f64 (*.f64 z (sin.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (/.f64 (+.f64 (cos.f64 y) x) z)) (*.f64 z (/.f64 (+.f64 (cos.f64 y) x) z))) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 (*.f64 z (/.f64 (+.f64 (cos.f64 y) x) z)) (*.f64 z (neg.f64 (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) x) z) z) (*.f64 (/.f64 (+.f64 (cos.f64 y) x) z) z)) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) (neg.f64 (*.f64 z (sin.f64 y))))) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) x) z) z) (neg.f64 (*.f64 z (sin.f64 y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(*.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(*.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (neg.f64 (sin.f64 y))) |
(+.f64 (neg.f64 (sin.f64 y)) (/.f64 (+.f64 (cos.f64 y) x) z)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (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 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(-.f64 (neg.f64 (sin.f64 y)) (/.f64 (+.f64 (cos.f64 y) x) (neg.f64 z))) |
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(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) z)) (/.f64 (*.f64 z z) (fma.f64 y #s(literal -1/2 binary64) z))) |
(fma.f64 z #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 y #s(literal -1/2 binary64) z)))) |
(fma.f64 (neg.f64 (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 y #s(literal -1/2 binary64) z)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z))) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) z)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 z z))) (*.f64 (fma.f64 y #s(literal -1/2 binary64) z) (fma.f64 y #s(literal -1/2 binary64) z))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)))) (neg.f64 (neg.f64 (fma.f64 y #s(literal -1/2 binary64) z)))) |
(/.f64 (fma.f64 (neg.f64 z) (*.f64 z z) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (fma.f64 z z (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (neg.f64 z) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 y #s(literal -1/2 binary64) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) z)) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) z)) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 y #s(literal -1/2 binary64) z)) (/.f64 (*.f64 z z) (fma.f64 y #s(literal -1/2 binary64) z)) (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) z)) (/.f64 (*.f64 z z) (fma.f64 y #s(literal -1/2 binary64) z)))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (-.f64 (neg.f64 z) (*.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) z)) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) z))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 y #s(literal -1/2 binary64) z)) (/.f64 (*.f64 z z) (fma.f64 y #s(literal -1/2 binary64) z)))) (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) z)) (/.f64 (*.f64 z z) (fma.f64 y #s(literal -1/2 binary64) z)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) |
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) |
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) z)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (sin.f64 y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)) (*.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z) |
(sin.f64 y) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(-.f64 #s(literal 0 binary64) z) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z)) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (neg.f64 (*.f64 z (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 z (*.f64 z z))) (fma.f64 z z #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (neg.f64 (*.f64 z z)) z) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 z z #s(literal 0 binary64)))) |
(*.f64 z #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 (neg.f64 (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
| 1× | egg-herbie |
| 10 182× | lower-fma.f64 |
| 10 182× | lower-fma.f32 |
| 6 148× | lower-*.f64 |
| 6 148× | lower-*.f32 |
| 3 990× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 437 | 3826 |
| 1 | 1330 | 3739 |
| 2 | 4183 | 3666 |
| 0 | 8844 | 3479 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* z (+ (/ 1 z) (/ x z))) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(+ (/ 1 z) (/ x z)) |
(+ (* -1 y) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z))) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(/ (+ x (cos y)) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(* -1 (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(* -1 (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ (+ 1 x) z) |
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (cos y) z) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(/ x z) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(/ 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 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (* -1/2 (/ z (pow (+ 1 x) 3)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(/ -2 (pow y 2)) |
(/ (- (* 4 (/ z y)) 2) (pow y 2)) |
(/ (- (* -1 (/ (+ (* 4 (+ 1 x)) (* 8 (pow z 2))) (pow y 2))) (+ 2 (* -4 (/ z y)))) (pow y 2)) |
(/ (- (* -1 (/ (+ (* -8 (* z (+ 1 x))) (* -2 (* z (+ (* 4 (+ 1 x)) (* 8 (pow z 2)))))) (pow y 3))) (+ 2 (+ (* -4 (/ z y)) (+ (* 4 (/ (+ 1 x) (pow y 2))) (* 8 (/ (pow z 2) (pow y 2))))))) (pow y 2)) |
(/ -2 (pow y 2)) |
(/ (- (* 4 (/ z y)) 2) (pow y 2)) |
(/ (- (* -1 (/ (- (+ (* 4 (/ (+ 1 x) y)) (* 8 (/ (pow z 2) y))) (* 4 z)) y)) 2) (pow y 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* z (+ (* 4 (+ 1 x)) (* 8 (pow z 2)))) y)) (* 8 (/ (* z (+ 1 x)) y))) (+ (* 4 (+ 1 x)) (* 8 (pow z 2)))) y)) (* 4 z)) y)) 2) (pow y 2)) |
(/ 1 (+ 1 (+ x (* -1/2 (pow y 2))))) |
(+ (/ 1 (+ 1 (+ x (* -1/2 (pow y 2))))) (/ (* y z) (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 2))) |
(+ (* z (- (/ (* (pow y 2) z) (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 3)) (* -1 (/ y (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 2))))) (/ 1 (+ 1 (+ x (* -1/2 (pow y 2)))))) |
(+ (* z (- (* z (- (/ (* (pow y 3) z) (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 4)) (* -1 (/ (pow y 2) (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 3))))) (* -1 (/ y (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 2))))) (/ 1 (+ 1 (+ x (* -1/2 (pow y 2)))))) |
(/ -1 (* y z)) |
(/ (- (* 1/2 (/ 1 z)) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))))) z) |
(/ (- (+ (* 1/2 (/ 1 z)) (/ (* (+ 1 (+ x (* -1/2 (pow y 2)))) (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2))))) (* y (pow z 2)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))))) z) |
(/ (- (+ (* 1/2 (/ 1 z)) (/ (* (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 2) (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2))))) (* (pow y 2) (pow z 3)))) (+ (* -1 (/ (* (+ 1 (+ x (* -1/2 (pow y 2)))) (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2))))) (* y (pow z 2)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z)))))) z) |
(/ -1 (* y z)) |
(* -1 (/ (+ (* -1 (/ (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ 1/2 (/ (* (+ 1 (+ x (* -1/2 (pow y 2)))) (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2))))) (* y z))) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (* (pow (+ 1 (+ x (* -1/2 (pow y 2)))) 2) (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2))))) (* (pow y 2) z))) (/ (* (+ 1 (+ x (* -1/2 (pow y 2)))) (- 1/2 (+ (/ 1 (pow y 2)) (/ x (pow y 2))))) y)) z))) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z)) |
(/ 1 (+ 1 (* y (- (* -1/2 y) z)))) |
(+ (* -1 (/ x (pow (+ 1 (* y (- (* -1/2 y) z))) 2))) (/ 1 (+ 1 (* y (- (* -1/2 y) z))))) |
(+ (* x (- (/ x (pow (+ 1 (* y (- (* -1/2 y) z))) 3)) (/ 1 (pow (+ 1 (* y (- (* -1/2 y) z))) 2)))) (/ 1 (+ 1 (* y (- (* -1/2 y) z))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ 1 (* y (- (* -1/2 y) z))) 4))) (/ 1 (pow (+ 1 (* y (- (* -1/2 y) z))) 3)))) (/ 1 (pow (+ 1 (* y (- (* -1/2 y) z))) 2)))) (/ 1 (+ 1 (* y (- (* -1/2 y) z))))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x))) x) |
(/ (- (+ 1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) (pow x 2))) (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) (pow x 2))) (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) x) |
(/ 1 x) |
(* -1 (/ (- (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) x) (+ 1 (* y (- (* -1/2 y) z)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 3) x) (pow (+ 1 (* y (- (* -1/2 y) z))) 2)) x)) (+ 1 (* y (- (* -1/2 y) z)))) x)) 1) x)) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(* -1/2 y) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1/2 y) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(* -1 z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (neg.f64 z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (neg.f64 z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (neg.f64 z)) |
(* z (+ (/ 1 z) (/ x z))) |
(fma.f64 z (/.f64 x z) #s(literal 1 binary64)) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 x z) y))) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (fma.f64 z (/.f64 x z) #s(literal 1 binary64))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (fma.f64 z (/.f64 x z) #s(literal 1 binary64))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x))))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x))))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x))))) |
(+ (/ 1 z) (/ x z)) |
(+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) |
(+ (* -1 y) (+ (/ 1 z) (/ x z))) |
(+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(+.f64 (/.f64 x z) (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z))) |
(+.f64 (/.f64 x z) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
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(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) x) (+ 1 (* y (- (* -1/2 y) z)))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) x) (fma.f64 (neg.f64 y) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 3) x) (pow (+ 1 (* y (- (* -1/2 y) z))) 2)) x)) (+ 1 (* y (- (* -1/2 y) z)))) x)) 1) x)) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) x)) (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)))) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))) x)) x)) |
(* -1 z) |
(neg.f64 z) |
(- (* -1/2 y) z) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(- (* -1/2 y) z) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(- (* -1/2 y) z) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* y (- (* -1 (/ z y)) 1/2)) |
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* y (- (* -1 (/ z y)) 1/2)) |
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(+ (* -1 z) (* -1/2 y)) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(+ (* -1 z) (* -1/2 y)) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(+ (* -1 z) (* -1/2 y)) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64))) |
(* z (- (* -1/2 (/ y z)) 1)) |
(*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64))) |
(* z (- (* -1/2 (/ y z)) 1)) |
(*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y z) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y z) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y z) z) (neg.f64 z)) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z))) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -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)) |
Compiled 26 797 to 2 386 computations (91.1% saved)
36 alts after pruning (30 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 988 | 12 | 1 000 |
| Fresh | 5 | 18 | 23 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 995 | 36 | 1 031 |
| Status | Accuracy | Program |
|---|---|---|
| 50.5% | (fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) | |
| 26.2% | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) | |
| ▶ | 51.7% | (fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 87.9% | (fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x) | |
| 59.0% | (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 39.2% | (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) | |
| ▶ | 30.5% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
| 46.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) | |
| 53.3% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) | |
| ▶ | 90.3% | (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
| 57.3% | (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| 28.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) x)) x)) | |
| ▶ | 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
| ✓ | 40.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| 27.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) | |
| 8.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) | |
| 49.1% | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y))) | |
| ✓ | 84.9% | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
| 60.6% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| 58.3% | (-.f64 x (fma.f64 y z #s(literal -1 binary64))) | |
| 45.9% | (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) | |
| 43.1% | (+.f64 (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)) x) | |
| ✓ | 73.9% | (+.f64 (cos.f64 y) x) |
| ✓ | 59.8% | (+.f64 x #s(literal 1 binary64)) |
| 46.3% | (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal 1 binary64)))) | |
| ✓ | 27.4% | (*.f64 (sin.f64 y) (neg.f64 z)) |
| 64.6% | (*.f64 z (/.f64 (+.f64 x (cos.f64 y)) z)) | |
| 60.5% | (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) | |
| 50.6% | (*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) | |
| 8.7% | (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z))) | |
| 8.5% | (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) | |
| 8.9% | (*.f64 y (neg.f64 z)) | |
| 2.9% | (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) | |
| 35.0% | (cos.f64 y) | |
| ▶ | 40.7% | x |
| ✓ | 21.3% | #s(literal 1 binary64) |
Compiled 964 to 606 computations (37.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 y) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 320 | (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 1984 | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (cos.f64 y) x) z) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
| ✓ | cost-diff | 1792 | (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
| 26 232× | lower-fma.f32 |
| 26 228× | lower-fma.f64 |
| 3 806× | lower-*.f32 |
| 3 794× | lower-*.f64 |
| 1 762× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 176 |
| 0 | 50 | 150 |
| 1 | 107 | 146 |
| 2 | 284 | 146 |
| 3 | 880 | 146 |
| 4 | 2102 | 144 |
| 5 | 6479 | 144 |
| 0 | 8280 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
z |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
#s(literal 1 binary64) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(sin.f64 y) |
x |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
y |
(*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
z |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(literal -1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) |
(*.f64 x x) |
x |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
| Outputs |
|---|
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
z |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
#s(literal 1 binary64) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(sin.f64 y) |
x |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
y |
(*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
z |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(literal -1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) |
(*.f64 x (fma.f64 x x (neg.f64 x))) |
(*.f64 x x) |
x |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+.f64 (cos.f64 y) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (cos.f64 y) x) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 67.3% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
| ✓ | accuracy | 94.4% | (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 (cos.f64 y) x) z) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
| ✓ | accuracy | 91.3% | (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
| 70.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 182 to 31 computations (83% saved)
ival-mult: 12.0ms (23.4% of total)ival-sin: 10.0ms (19.5% of total)ival-div: 9.0ms (17.6% of total)ival-cos: 7.0ms (13.7% of total)ival-add: 6.0ms (11.7% of total)const: 4.0ms (7.8% of total)ival-sub: 3.0ms (5.9% of total)adjust: 0.0ms (0% 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 z (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))> |
#<alt (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))> |
#<alt (/.f64 (+.f64 (cos.f64 y) x) z)> |
#<alt (fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))> |
#<alt (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))> |
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))> |
#<alt (*.f64 y y)> |
#<alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))> |
#<alt (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))> |
#<alt (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))> |
#<alt (+.f64 (cos.f64 y) x)> |
#<alt (cos.f64 y)> |
#<alt (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))> |
| Outputs |
|---|
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* z (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z))))> |
#<alt (+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z))))> |
#<alt (+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z))))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (/ 1 (+ (/ 1 z) (/ x z)))> |
#<alt (+ (/ 1 (+ (/ 1 z) (/ x z))) (/ y (pow (+ (/ 1 z) (/ x z)) 2)))> |
#<alt (+ (* y (+ (* y (+ (* 1/2 (/ 1 (* z (pow (+ (/ 1 z) (/ x z)) 2)))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 3)))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 2)))) (/ 1 (+ (/ 1 z) (/ x z))))> |
#<alt (+ (* y (+ (* y (+ (* 1/2 (/ 1 (* z (pow (+ (/ 1 z) (/ x z)) 2)))) (+ (* y (- (* 1/2 (/ 1 (* z (pow (+ (/ 1 z) (/ x z)) 3)))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* z (pow (+ (/ 1 z) (/ x z)) 2)))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 3))) (+ (/ 1 z) (/ x z)))) (* 1/6 (/ 1 (pow (+ (/ 1 z) (/ x z)) 2)))))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 3))))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 2)))) (/ 1 (+ (/ 1 z) (/ x z))))> |
#<alt (/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (/ 1 (- (/ (cos y) z) (sin y)))> |
#<alt (+ (* -1 (/ x (* z (pow (- (/ (cos y) z) (sin y)) 2)))) (/ 1 (- (/ (cos y) z) (sin y))))> |
#<alt (+ (* x (- (/ x (* (pow z 2) (pow (- (/ (cos y) z) (sin y)) 3))) (/ 1 (* z (pow (- (/ (cos y) z) (sin y)) 2))))) (/ 1 (- (/ (cos y) z) (sin y))))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 4)))) (/ 1 (* (pow z 2) (pow (- (/ (cos y) z) (sin y)) 3))))) (/ 1 (* z (pow (- (/ (cos y) z) (sin y)) 2))))) (/ 1 (- (/ (cos y) z) (sin y))))> |
#<alt (/ z x)> |
#<alt (/ (+ z (* -1 (/ (* (pow z 2) (- (/ (cos y) z) (sin y))) x))) x)> |
#<alt (/ (- (+ z (/ (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 2)) (pow x 2))) (/ (* (pow z 2) (- (/ (cos y) z) (sin y))) x)) x)> |
#<alt (/ (- (+ z (* -1 (/ (* (pow z 4) (pow (- (/ (cos y) z) (sin y)) 3)) (pow x 3)))) (+ (* -1 (/ (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 2)) (pow x 2))) (/ (* (pow z 2) (- (/ (cos y) z) (sin y))) x))) x)> |
#<alt (/ z x)> |
#<alt (* -1 (/ (+ (* -1 z) (/ (* (pow z 2) (- (/ (cos y) z) (sin y))) x)) x))> |
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 2)) x) (* (pow z 2) (- (/ (cos y) z) (sin y)))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 4) (pow (- (/ (cos y) z) (sin y)) 3)) x) (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 2))) x)) (* (pow z 2) (- (/ (cos y) z) (sin y)))) x))) x))> |
#<alt (/ z (+ x (cos y)))> |
#<alt (* z (+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))))> |
#<alt (* z (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))))> |
#<alt (* z (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))))> |
#<alt (/ -1 (sin y))> |
#<alt (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y)))> |
#<alt (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))))> |
#<alt (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))))))> |
#<alt (/ -1 (sin y))> |
#<alt (- (* -1 (/ (+ x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))> |
#<alt (- (* -1 (/ (- (/ (pow (+ x (cos y)) 2) (* z (pow (sin y) 3))) (* -1 (/ (+ x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y)))> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ x (cos y)) 3) (* z (pow (sin y) 4)))) (/ (pow (+ x (cos y)) 2) (pow (sin y) 3))) z)) (* -1 (/ (+ x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y)))> |
#<alt (+ (/ 1 z) (/ x z))> |
#<alt (+ (* -1 y) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z)))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (/ x z)> |
#<alt (* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (/ x z)> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)> |
#<alt (* -1 (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (/ (+ 1 x) z)> |
#<alt (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z)))> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (cos y) z)> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (/ x z)> |
#<alt (* x (+ (/ 1 z) (/ (cos y) (* x z))))> |
#<alt (* x (+ (/ 1 z) (/ (cos y) (* x z))))> |
#<alt (* x (+ (/ 1 z) (/ (cos y) (* x z))))> |
#<alt (/ x z)> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3))))))> |
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3))))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 x) (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 x) (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))> |
#<alt (* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))> |
#<alt (* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ (+ 1 x) z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ (+ 1 x) z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ (+ 1 x) z)))))> |
#<alt (+ 1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) x)) 1)))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* -1 z)> |
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))> |
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))> |
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))> |
#<alt (* 1/6 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* 1/6 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt -1> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* -1 x) 1)))> |
#<alt (+ 1 (* x (- (* x (- x 1)) 1)))> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (- 1 (/ 1 x)))> |
#<alt (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))> |
#<alt (* (pow x 3) (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (pow x 3)> |
#<alt (* -1 (* (pow x 3) (- (/ 1 x) 1)))> |
#<alt (* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1)))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- x 2)))> |
#<alt (+ 1 (* x (- x 2)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ (* 1/2 (/ (pow y 2) (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))> |
#<alt (+ (* (pow y 2) (+ (* (pow y 2) (- (* 1/4 (/ 1 (pow (+ 1 x) 3))) (* 1/24 (/ 1 (pow (+ 1 x) 2))))) (* 1/2 (/ 1 (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (+ (* (pow y 2) (+ (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow (+ 1 x) 3))) (* (pow y 2) (- (* 1/720 (/ 1 (pow (+ 1 x) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ 1 x) 3))) (* 1/24 (/ 1 (pow (+ 1 x) 2)))) (+ 1 x))) (* 1/48 (/ 1 (pow (+ 1 x) 3))))))) (* 1/24 (/ 1 (pow (+ 1 x) 2))))) (* 1/2 (/ 1 (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (/ 1 (+ x (cos y)))> |
#<alt (/ 1 (+ x (cos y)))> |
#<alt (/ 1 (+ x (cos y)))> |
#<alt (/ 1 (+ x (cos y)))> |
#<alt (/ 1 (+ x (cos y)))> |
#<alt (/ 1 (+ x (cos y)))> |
#<alt (/ 1 (+ x (cos y)))> |
#<alt (/ 1 (+ x (cos y)))> |
#<alt (/ 1 (cos y))> |
#<alt (+ (* -1 (/ x (pow (cos y) 2))) (/ 1 (cos y)))> |
#<alt (+ (* x (- (/ x (pow (cos y) 3)) (/ 1 (pow (cos y) 2)))) (/ 1 (cos y)))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (cos y) 4))) (/ 1 (pow (cos y) 3)))) (/ 1 (pow (cos y) 2)))) (/ 1 (cos y)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 (/ (cos y) x))) x)> |
#<alt (/ (- (+ 1 (/ (pow (cos y) 2) (pow x 2))) (/ (cos y) x)) x)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (cos y) 3) (pow x 3)))) (+ (* -1 (/ (pow (cos y) 2) (pow x 2))) (/ (cos y) x))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ (cos y) x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (cos y) 2) x) (cos y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (cos y) 3) x) (pow (cos y) 2)) x)) (cos y)) x)) 1) x))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (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 (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- x 1))> |
#<alt (* (pow x 2) (- x 1))> |
#<alt (* (pow x 2) (- x 1))> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (- 1 (/ 1 x)))> |
#<alt (* (pow x 3) (- 1 (/ 1 x)))> |
#<alt (* (pow x 3) (- 1 (/ 1 x)))> |
#<alt (pow x 3)> |
#<alt (* -1 (* (pow x 3) (- (/ 1 x) 1)))> |
#<alt (* -1 (* (pow x 3) (- (/ 1 x) 1)))> |
#<alt (* -1 (* (pow x 3) (- (/ 1 x) 1)))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | (/ (- (* (* x x) (+ x -1)) (* (+ x -1) 1)) (* (+ x -1) (+ x -1))) |
| 3.0ms | z | @ | 0 | (+ (* y (* z (+ (* 1/6 (* y y)) -1))) (+ x 1)) |
| 1.0ms | y | @ | 0 | (/ 1 (- (/ (+ (cos y) x) z) (sin y))) |
| 1.0ms | x | @ | -inf | (/ (- (* (* x x) (+ x -1)) (* (+ x -1) 1)) (* (+ x -1) (+ x -1))) |
| 1.0ms | y | @ | -inf | (/ 1 (- (/ (+ (cos y) x) z) (sin y))) |
| 1× | batch-egg-rewrite |
| 5 076× | lower-/.f32 |
| 5 064× | lower-/.f64 |
| 4 550× | lower-*.f32 |
| 4 538× | lower-*.f64 |
| 4 156× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 142 |
| 0 | 50 | 128 |
| 1 | 229 | 122 |
| 2 | 1849 | 110 |
| 0 | 8510 | 109 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(*.f64 y y) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
(*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 z (/.f64 (+.f64 (cos.f64 y) x) z)) (*.f64 z (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) x) z) z) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(fma.f64 z (/.f64 (+.f64 (cos.f64 y) x) z) (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 (/.f64 (+.f64 (cos.f64 y) x) z) z (*.f64 (neg.f64 (sin.f64 y)) z)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.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 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(*.f64 (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #s(literal 1 binary64)) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (neg.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(*.f64 (/.f64 z (pow.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))))) |
(pow.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (fma.f64 x (-.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 1 binary64)) (/.f64 (+.f64 (cos.f64 y) x) (fma.f64 x (-.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(cos.f64 y) |
(+.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x x))) |
(+.f64 (neg.f64 (*.f64 x x)) (*.f64 x (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x x))) |
(fma.f64 x (*.f64 x x) (neg.f64 (*.f64 x x))) |
(fma.f64 x (*.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 x (*.f64 x x))) |
(fma.f64 (*.f64 x x) x (neg.f64 (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 x (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal -1 binary64)) x (*.f64 x (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(*.f64 x (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) x) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
| 1× | egg-herbie |
| 8 464× | lower-fma.f64 |
| 8 464× | lower-fma.f32 |
| 5 880× | lower-*.f64 |
| 5 880× | lower-*.f32 |
| 3 832× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 512 | 4183 |
| 1 | 1519 | 4068 |
| 2 | 4703 | 3972 |
| 0 | 8402 | 3836 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* z (+ (/ 1 z) (/ x z))) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(/ 1 (+ (/ 1 z) (/ x z))) |
(+ (/ 1 (+ (/ 1 z) (/ x z))) (/ y (pow (+ (/ 1 z) (/ x z)) 2))) |
(+ (* y (+ (* y (+ (* 1/2 (/ 1 (* z (pow (+ (/ 1 z) (/ x z)) 2)))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 3)))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 2)))) (/ 1 (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* y (+ (* 1/2 (/ 1 (* z (pow (+ (/ 1 z) (/ x z)) 2)))) (+ (* y (- (* 1/2 (/ 1 (* z (pow (+ (/ 1 z) (/ x z)) 3)))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* z (pow (+ (/ 1 z) (/ x z)) 2)))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 3))) (+ (/ 1 z) (/ x z)))) (* 1/6 (/ 1 (pow (+ (/ 1 z) (/ x z)) 2)))))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 3))))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 2)))) (/ 1 (+ (/ 1 z) (/ x z)))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/ 1 (- (/ (cos y) z) (sin y))) |
(+ (* -1 (/ x (* z (pow (- (/ (cos y) z) (sin y)) 2)))) (/ 1 (- (/ (cos y) z) (sin y)))) |
(+ (* x (- (/ x (* (pow z 2) (pow (- (/ (cos y) z) (sin y)) 3))) (/ 1 (* z (pow (- (/ (cos y) z) (sin y)) 2))))) (/ 1 (- (/ (cos y) z) (sin y)))) |
(+ (* x (- (* x (+ (* -1 (/ x (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 4)))) (/ 1 (* (pow z 2) (pow (- (/ (cos y) z) (sin y)) 3))))) (/ 1 (* z (pow (- (/ (cos y) z) (sin y)) 2))))) (/ 1 (- (/ (cos y) z) (sin y)))) |
(/ z x) |
(/ (+ z (* -1 (/ (* (pow z 2) (- (/ (cos y) z) (sin y))) x))) x) |
(/ (- (+ z (/ (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 2)) (pow x 2))) (/ (* (pow z 2) (- (/ (cos y) z) (sin y))) x)) x) |
(/ (- (+ z (* -1 (/ (* (pow z 4) (pow (- (/ (cos y) z) (sin y)) 3)) (pow x 3)))) (+ (* -1 (/ (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 2)) (pow x 2))) (/ (* (pow z 2) (- (/ (cos y) z) (sin y))) x))) x) |
(/ z x) |
(* -1 (/ (+ (* -1 z) (/ (* (pow z 2) (- (/ (cos y) z) (sin y))) x)) x)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 2)) x) (* (pow z 2) (- (/ (cos y) z) (sin y)))) x))) x)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 4) (pow (- (/ (cos y) z) (sin y)) 3)) x) (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 2))) x)) (* (pow z 2) (- (/ (cos y) z) (sin y)))) x))) x)) |
(/ z (+ x (cos y))) |
(* z (+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))) |
(* z (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))) |
(* z (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))) |
(/ -1 (sin y)) |
(- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) |
(- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) |
(- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) |
(/ -1 (sin y)) |
(- (* -1 (/ (+ x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) |
(- (* -1 (/ (- (/ (pow (+ x (cos y)) 2) (* z (pow (sin y) 3))) (* -1 (/ (+ x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ x (cos y)) 3) (* z (pow (sin y) 4)))) (/ (pow (+ x (cos y)) 2) (pow (sin y) 3))) z)) (* -1 (/ (+ x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) |
(+ (/ 1 z) (/ x z)) |
(+ (* -1 y) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z))) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(/ (+ x (cos y)) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(* -1 (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(* -1 (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ (+ 1 x) z) |
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (cos y) z) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(/ x z) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))))) |
(* 1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 x) (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 x) (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2)))))) |
(+ 1 x) |
(+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))) |
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))) |
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ (+ 1 x) z))))) |
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ (+ 1 x) z))))) |
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ (+ 1 x) z))))) |
(+ 1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) x)) 1))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* -1 z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
-1 |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* -1 x) 1))) |
(+ 1 (* x (- (* x (- x 1)) 1))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))) |
(* (pow x 3) (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (/ 1 x) 1))) |
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- x 2))) |
(+ 1 (* x (- x 2))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(/ 1 (+ 1 x)) |
(+ (* 1/2 (/ (pow y 2) (pow (+ 1 x) 2))) (/ 1 (+ 1 x))) |
(+ (* (pow y 2) (+ (* (pow y 2) (- (* 1/4 (/ 1 (pow (+ 1 x) 3))) (* 1/24 (/ 1 (pow (+ 1 x) 2))))) (* 1/2 (/ 1 (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ (* (pow y 2) (+ (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow (+ 1 x) 3))) (* (pow y 2) (- (* 1/720 (/ 1 (pow (+ 1 x) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ 1 x) 3))) (* 1/24 (/ 1 (pow (+ 1 x) 2)))) (+ 1 x))) (* 1/48 (/ 1 (pow (+ 1 x) 3))))))) (* 1/24 (/ 1 (pow (+ 1 x) 2))))) (* 1/2 (/ 1 (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(/ 1 (+ x (cos y))) |
(/ 1 (+ x (cos y))) |
(/ 1 (+ x (cos y))) |
(/ 1 (+ x (cos y))) |
(/ 1 (+ x (cos y))) |
(/ 1 (+ x (cos y))) |
(/ 1 (+ x (cos y))) |
(/ 1 (+ x (cos y))) |
(/ 1 (cos y)) |
(+ (* -1 (/ x (pow (cos y) 2))) (/ 1 (cos y))) |
(+ (* x (- (/ x (pow (cos y) 3)) (/ 1 (pow (cos y) 2)))) (/ 1 (cos y))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (cos y) 4))) (/ 1 (pow (cos y) 3)))) (/ 1 (pow (cos y) 2)))) (/ 1 (cos y))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (cos y) x))) x) |
(/ (- (+ 1 (/ (pow (cos y) 2) (pow x 2))) (/ (cos y) x)) x) |
(/ (- (+ 1 (* -1 (/ (pow (cos y) 3) (pow x 3)))) (+ (* -1 (/ (pow (cos y) 2) (pow x 2))) (/ (cos y) x))) x) |
(/ 1 x) |
(* -1 (/ (- (/ (cos y) x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (cos y) 2) x) (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (cos y) 3) x) (pow (cos y) 2)) x)) (cos y)) x)) 1) x)) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (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) |
(* -1 (pow x 2)) |
(* (pow x 2) (- x 1)) |
(* (pow x 2) (- x 1)) |
(* (pow x 2) (- x 1)) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 x))) |
(* (pow x 3) (- 1 (/ 1 x))) |
(* (pow x 3) (- 1 (/ 1 x))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (/ 1 x) 1))) |
(* -1 (* (pow x 3) (- (/ 1 x) 1))) |
(* -1 (* (pow x 3) (- (/ 1 x) 1))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (neg.f64 z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (neg.f64 z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 x (cos.f64 y)) z)) (neg.f64 z)) |
(* z (+ (/ 1 z) (/ x z))) |
(fma.f64 z (/.f64 x z) #s(literal 1 binary64)) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(fma.f64 z (+.f64 (neg.f64 y) (/.f64 x z)) #s(literal 1 binary64)) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (fma.f64 z (/.f64 x z) #s(literal 1 binary64))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (fma.f64 z (/.f64 x z) #s(literal 1 binary64))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (*.f64 x z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (*.f64 x z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (*.f64 x z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x)) |
(/ 1 (+ (/ 1 z) (/ x z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) |
(+ (/ 1 (+ (/ 1 z) (/ x z))) (/ y (pow (+ (/ 1 z) (/ x z)) 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) (/.f64 y (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))))) |
(+ (* y (+ (* y (+ (* 1/2 (/ 1 (* z (pow (+ (/ 1 z) (/ x z)) 2)))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 3)))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 2)))) (/ 1 (+ (/ 1 z) (/ x z)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (fma.f64 z (/.f64 x z) #s(literal 1 binary64)))) (/.f64 y (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))) (/.f64 y (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))) |
(+ (* y (+ (* y (+ (* 1/2 (/ 1 (* z (pow (+ (/ 1 z) (/ x z)) 2)))) (+ (* y (- (* 1/2 (/ 1 (* z (pow (+ (/ 1 z) (/ x z)) 3)))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* z (pow (+ (/ 1 z) (/ x z)) 2)))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 3))) (+ (/ 1 z) (/ x z)))) (* 1/6 (/ 1 (pow (+ (/ 1 z) (/ x z)) 2)))))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 3))))) (/ 1 (pow (+ (/ 1 z) (/ x z)) 2)))) (/ 1 (+ (/ 1 z) (/ x z)))) |
(fma.f64 y (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (fma.f64 z (/.f64 x z) #s(literal 1 binary64))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (fma.f64 z (/.f64 x z) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (fma.f64 z (/.f64 x z) #s(literal 1 binary64))))) (/.f64 y (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) (/.f64 y (*.f64 (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(/ 1 (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(/ 1 (- (/ (cos y) z) (sin y))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(+ (* -1 (/ x (* z (pow (- (/ (cos y) z) (sin y)) 2)))) (/ 1 (- (/ (cos y) z) (sin y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 x (*.f64 z (pow.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal 2 binary64))))) |
(+ (* x (- (/ x (* (pow z 2) (pow (- (/ (cos y) z) (sin y)) 3))) (/ 1 (* z (pow (- (/ (cos y) z) (sin y)) 2))))) (/ 1 (- (/ (cos y) z) (sin y)))) |
(fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (pow.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 x (*.f64 (*.f64 z z) (pow.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(+ (* x (- (* x (+ (* -1 (/ x (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 4)))) (/ 1 (* (pow z 2) (pow (- (/ (cos y) z) (sin y)) 3))))) (/ 1 (* z (pow (- (/ (cos y) z) (sin y)) 2))))) (/ 1 (- (/ (cos y) z) (sin y)))) |
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (pow.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 x (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 z (pow.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(/ z x) |
(/.f64 z x) |
(/ (+ z (* -1 (/ (* (pow z 2) (- (/ (cos y) z) (sin y))) x))) x) |
(/.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 (/.f64 (*.f64 z z) x)) z) x) |
(/ (- (+ z (/ (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 2)) (pow x 2))) (/ (* (pow z 2) (- (/ (cos y) z) (sin y))) x)) x) |
(/.f64 (+.f64 z (/.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal 2 binary64)) (/.f64 (*.f64 z (*.f64 z z)) x) (*.f64 (*.f64 z z) (+.f64 (sin.f64 y) (/.f64 (neg.f64 (cos.f64 y)) z)))) x)) x) |
(/ (- (+ z (* -1 (/ (* (pow z 4) (pow (- (/ (cos y) z) (sin y)) 3)) (pow x 3)))) (+ (* -1 (/ (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 2)) (pow x 2))) (/ (* (pow z 2) (- (/ (cos y) z) (sin y))) x))) x) |
(/.f64 (+.f64 z (fma.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal 3 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal 2 binary64)) (/.f64 (*.f64 z (*.f64 z z)) x) (*.f64 (*.f64 z z) (+.f64 (sin.f64 y) (/.f64 (neg.f64 (cos.f64 y)) z)))) x))) x) |
(/ z x) |
(/.f64 z x) |
(* -1 (/ (+ (* -1 z) (/ (* (pow z 2) (- (/ (cos y) z) (sin y))) x)) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (*.f64 z z)) x) z) (neg.f64 x)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 2)) x) (* (pow z 2) (- (/ (cos y) z) (sin y)))) x))) x)) |
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(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 4) (pow (- (/ (cos y) z) (sin y)) 3)) x) (* (pow z 3) (pow (- (/ (cos y) z) (sin y)) 2))) x)) (* (pow z 2) (- (/ (cos y) z) (sin y)))) x))) x)) |
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(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) x)) x) |
(/ (- (+ 1 (* -1 (/ (pow (cos y) 3) (pow x 3)))) (+ (* -1 (/ (pow (cos y) 2) (pow x 2))) (/ (cos y) x))) x) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 y) x) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ (cos y) x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (cos y) 2) x) (cos y)) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (cos y) 3) x) (pow (cos y) 2)) x)) (cos y)) x)) 1) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (cos.f64 y)) x)) (neg.f64 x)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ x (* (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)) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* (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)) (+.f64 x #s(literal 1 binary64))) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) 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 (*.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) |
(* -1 (pow x 2)) |
(neg.f64 (*.f64 x x)) |
(* (pow x 2) (- x 1)) |
(*.f64 x (-.f64 (*.f64 x x) x)) |
(* (pow x 2) (- x 1)) |
(*.f64 x (-.f64 (*.f64 x x) x)) |
(* (pow x 2) (- x 1)) |
(*.f64 x (-.f64 (*.f64 x x) x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (- 1 (/ 1 x))) |
(*.f64 x (-.f64 (*.f64 x x) x)) |
(* (pow x 3) (- 1 (/ 1 x))) |
(*.f64 x (-.f64 (*.f64 x x) x)) |
(* (pow x 3) (- 1 (/ 1 x))) |
(*.f64 x (-.f64 (*.f64 x x) x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1 (* (pow x 3) (- (/ 1 x) 1))) |
(*.f64 x (-.f64 (*.f64 x x) x)) |
(* -1 (* (pow x 3) (- (/ 1 x) 1))) |
(*.f64 x (-.f64 (*.f64 x x) x)) |
(* -1 (* (pow x 3) (- (/ 1 x) 1))) |
(*.f64 x (-.f64 (*.f64 x x) x)) |
Compiled 53 485 to 4 641 computations (91.3% saved)
51 alts after pruning (43 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 668 | 21 | 1 689 |
| Fresh | 3 | 22 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 674 | 51 | 1 725 |
| Status | Accuracy | Program |
|---|---|---|
| 43.1% | (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)) (+.f64 x #s(literal 1 binary64))) | |
| 72.3% | (fma.f64 (*.f64 x z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x) | |
| 50.5% | (fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) | |
| 26.2% | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) | |
| ✓ | 51.7% | (fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 87.9% | (fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x) | |
| 59.0% | (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 39.2% | (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) | |
| 20.1% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) | |
| 12.0% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) x) x))) | |
| 20.8% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) x)) x))) | |
| 11.5% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) | |
| 22.8% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| 46.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) | |
| 53.3% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) | |
| 17.2% | (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) | |
| 17.5% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) | |
| 11.6% | (/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) | |
| 11.2% | (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) | |
| 31.4% | (/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x z))) | |
| 50.4% | (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))) | |
| 48.9% | (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))) | |
| 27.3% | (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) | |
| 57.3% | (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| 48.1% | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| 34.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))) | |
| ✓ | 40.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| 27.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) | |
| 8.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) | |
| 21.0% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) | |
| 49.1% | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y))) | |
| ✓ | 84.9% | (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
| 60.6% | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| 58.3% | (-.f64 x (fma.f64 y z #s(literal -1 binary64))) | |
| 45.9% | (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) | |
| ✓ | 73.9% | (+.f64 (cos.f64 y) x) |
| ✓ | 59.8% | (+.f64 x #s(literal 1 binary64)) |
| 46.3% | (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal 1 binary64)))) | |
| 37.5% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 27.4% | (*.f64 (sin.f64 y) (neg.f64 z)) |
| 64.6% | (*.f64 z (/.f64 (+.f64 x (cos.f64 y)) z)) | |
| 60.5% | (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) | |
| 50.6% | (*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) | |
| 8.7% | (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z))) | |
| 8.5% | (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) | |
| 2.7% | (*.f64 y (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) | |
| 8.9% | (*.f64 y (neg.f64 z)) | |
| 2.9% | (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) | |
| 35.0% | (cos.f64 y) | |
| ✓ | 40.7% | x |
| ✓ | 21.3% | #s(literal 1 binary64) |
Compiled 1 768 to 732 computations (58.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 y (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (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)) x) |
(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)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) x)) x)) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64)) (+.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) x)) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(*.f64 z (/.f64 (+.f64 x (cos.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x) |
(fma.f64 (*.f64 x z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x) |
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(fma.f64 (-.f64 #s(literal 1 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 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) x) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 32.0ms | y |
| 28.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 20.0ms | x |
| 19.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 y (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (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)) x) |
(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)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) x)) x)) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64)) (+.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) x)) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(*.f64 z (/.f64 (+.f64 x (cos.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
4 calls:
| 74.0ms | y |
| 18.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 15.0ms | x |
| 15.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
| 89.3% | 3 | y |
| 99.0% | 3 | z |
| 99.5% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 y (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (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)) x) |
(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)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) x)) x)) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64)) (+.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) x)) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(*.f64 z (/.f64 (+.f64 x (cos.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) x) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
3 calls:
| 29.0ms | x |
| 26.0ms | z |
| 15.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | z |
| 84.9% | 1 | x |
| 98.7% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 y (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (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)) x) |
(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)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) x)) x)) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64)) (+.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) x)) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (cos.f64 y) x) |
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
4 calls:
| 20.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 18.0ms | x |
| 14.0ms | z |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 3 | x |
| 83.3% | 5 | y |
| 77.1% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 85.5% | 3 | z |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 y (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (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)) x) |
(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)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) x)) x)) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64)) (+.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) x)) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
| Outputs |
|---|
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
1 calls:
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 y (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (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)) x) |
(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)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) x)) x)) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64)) (+.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) x)) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
| Outputs |
|---|
(+.f64 (cos.f64 y) x) |
(fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (cos.f64 y) x) |
2 calls:
| 13.0ms | z |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 3 | y |
| 76.1% | 2 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 y (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (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)) x) |
(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)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) x)) x)) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64)) (+.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) x)) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
(cos.f64 y) |
(+.f64 x #s(literal 1 binary64)) |
4 calls:
| 36.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 19.0ms | z |
| 13.0ms | y |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 62.0% | 2 | z |
| 73.5% | 3 | x |
| 71.0% | 5 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 y (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (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)) x) |
(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)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) x)) x)) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64)) (+.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) x)) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
3 calls:
| 29.0ms | x |
| 12.0ms | y |
| 12.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.9% | 3 | y |
| 64.6% | 3 | x |
| 59.8% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 y (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (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)) x) |
(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)) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
1 calls:
| 16.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.9% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(*.f64 y (*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.8% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 y (neg.f64 z)) |
| Outputs |
|---|
(+.f64 x #s(literal 1 binary64)) |
3 calls:
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 1 | z |
| 59.8% | 1 | x |
| 59.8% | 1 | y |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
| Outputs |
|---|
x |
#s(literal 1 binary64) |
x |
4 calls:
| 9.0ms | x |
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.7% | 1 | z |
| 59.0% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 59.0% | 3 | x |
| 46.0% | 3 | y |
Compiled 24 to 17 computations (29.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
4 calls:
| 1.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.3% | 1 | z |
| 21.3% | 1 | y |
| 21.3% | 1 | x |
| 21.3% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9957041847542808 | 0.9999999991277929 |
| 0.0ms | -1003149.1004933914 | -13.15738454659559 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 0.0015098566162962024 | 1498221559588.0498 |
| 30.0ms | -16.713399821984797 | -3.589302665519894e-7 |
| 39.0ms | 304× | 0 | valid |
Compiled 395 to 299 computations (24.3% saved)
ival-cos: 8.0ms (40.4% of total)ival-sin: 7.0ms (35.3% of total)ival-mult: 2.0ms (10.1% of total)ival-sub: 1.0ms (5% of total)ival-add: 1.0ms (5% 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 |
|---|---|---|
| 43.0ms | 2.8556506497870306e+127 | 9.656435588870226e+130 |
| 30.0ms | -7.937664961874425e+211 | -1.0781199800624698e+204 |
| 63.0ms | 272× | 0 | valid |
Compiled 312 to 243 computations (22.1% saved)
ival-add: 29.0ms (51.7% of total)ival-cos: 18.0ms (32.1% of total)ival-sin: 6.0ms (10.7% of total)ival-mult: 2.0ms (3.6% of total)ival-sub: 1.0ms (1.8% 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 |
|---|---|---|
| 35.0ms | 7.9708923414927875e+217 | 1.0071004698849113e+221 |
| 1.0ms | -7.937664961874425e+211 | -1.0781199800624698e+204 |
| 30.0ms | 128× | 0 | valid |
Compiled 304 to 235 computations (22.7% saved)
ival-sin: 22.0ms (81.4% of total)ival-cos: 3.0ms (11.1% of total)ival-sub: 1.0ms (3.7% of total)ival-add: 1.0ms (3.7% of total)ival-mult: 1.0ms (3.7% 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 |
|---|---|---|
| 11.0ms | 0.06718860101336342 | 3.520736547582319 |
| 128.0ms | -3660577737647.657 | -0.01367935842192179 |
| 128.0ms | 272× | 0 | valid |
Compiled 542 to 354 computations (34.7% saved)
ival-cos: 113.0ms (93% of total)ival-sin: 4.0ms (3.3% of total)ival-mult: 2.0ms (1.6% of total)ival-sub: 1.0ms (0.8% of total)ival-add: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9957041847542808 | 0.9999999991277929 |
| 0.0ms | -1003149.1004933914 | -13.15738454659559 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.06718860101336342 | 3.520736547582319 |
| 65.0ms | -3660577737647.657 | -0.01367935842192179 |
| 70.0ms | 192× | 0 | valid |
Compiled 525 to 354 computations (32.6% saved)
ival-mult: 52.0ms (79.2% of total)ival-cos: 6.0ms (9.1% of total)ival-sin: 6.0ms (9.1% of total)ival-sub: 1.0ms (1.5% of total)ival-add: 1.0ms (1.5% 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 |
|---|---|---|
| 64.0ms | 0.06718860101336342 | 3.520736547582319 |
| 77.0ms | -3660577737647.657 | -0.01367935842192179 |
| 76.0ms | 192× | 0 | valid |
Compiled 423 to 320 computations (24.3% saved)
ival-sin: 62.0ms (86.5% of total)ival-cos: 6.0ms (8.4% of total)ival-sub: 1.0ms (1.4% of total)ival-add: 1.0ms (1.4% of total)ival-mult: 1.0ms (1.4% 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 |
|---|---|---|
| 20.0ms | 1.634895421707799e+53 | 8.243361087702903e+60 |
| 1.0ms | -3660577737647.657 | -0.01367935842192179 |
| 15.0ms | 144× | 0 | valid |
Compiled 338 to 261 computations (22.8% saved)
ival-cos: 5.0ms (44.1% of total)ival-sin: 4.0ms (35.3% of total)ival-sub: 1.0ms (8.8% of total)ival-add: 1.0ms (8.8% of total)ival-mult: 1.0ms (8.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 3.2509651870994767 |
| 0.0ms | -0.11220569424702666 | 0.21597913542450553 |
Compiled 15 to 14 computations (6.7% saved)
| 1× | egg-herbie |
| 24× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 18× | *-commutative_binary64 |
| 16× | cancel-sign-sub-inv_binary64 |
| 8× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 307 |
| 1 | 111 | 307 |
| 2 | 130 | 307 |
| 3 | 137 | 307 |
| 4 | 141 | 307 |
| 5 | 142 | 307 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2242792614430507/2251799813685248 binary64)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -7656119366529843/9007199254740992 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7926335344172073/9007199254740992 binary64)) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1100000000000000057263337657048921083601984467370217074316967460441850110603522617492165064487632748604552622788244995892958613165134500443563626203955612146946777801522766956938456298719040689437291839488 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z #s(literal 139999999999999991285167330229307404975375020111088221626015833673130848699810489861179420414813756105335038937414138448123527168 binary64)) (+.f64 (cos.f64 y) x) (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1100000000000000057263337657048921083601984467370217074316967460441850110603522617492165064487632748604552622788244995892958613165134500443563626203955612146946777801522766956938456298719040689437291839488 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z #s(literal 79999999999999996814840445986014158451600378337956339011904945005517378013250878936070116031219950374624773536584264883513726313185674331749743828139763820834706001142617780333533777178574908679757929971103400718237696 binary64)) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 3242591731706757/18014398509481984 binary64)) (fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) (+.f64 (cos.f64 y) x))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2242792614430507/2251799813685248 binary64)) (cos.f64 y) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -35 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 6980579422424269/2251799813685248 binary64)) (fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -360000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5404319552844595/2251799813685248 binary64)) (fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -35 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1200000000000000023171116165960292210384514014055552253952 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -3602879701896397/36028797018963968 binary64)) x (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2242792614430507/2251799813685248 binary64)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -7656119366529843/9007199254740992 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7926335344172073/9007199254740992 binary64)) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -7656119366529843/9007199254740992 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7926335344172073/9007199254740992 binary64)) (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1100000000000000057263337657048921083601984467370217074316967460441850110603522617492165064487632748604552622788244995892958613165134500443563626203955612146946777801522766956938456298719040689437291839488 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z #s(literal 139999999999999991285167330229307404975375020111088221626015833673130848699810489861179420414813756105335038937414138448123527168 binary64)) (+.f64 (cos.f64 y) x) (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1100000000000000057263337657048921083601984467370217074316967460441850110603522617492165064487632748604552622788244995892958613165134500443563626203955612146946777801522766956938456298719040689437291839488 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z #s(literal 139999999999999991285167330229307404975375020111088221626015833673130848699810489861179420414813756105335038937414138448123527168 binary64)) (+.f64 x (cos.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1100000000000000057263337657048921083601984467370217074316967460441850110603522617492165064487632748604552622788244995892958613165134500443563626203955612146946777801522766956938456298719040689437291839488 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z #s(literal 79999999999999996814840445986014158451600378337956339011904945005517378013250878936070116031219950374624773536584264883513726313185674331749743828139763820834706001142617780333533777178574908679757929971103400718237696 binary64)) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(if (<=.f64 z #s(literal -1100000000000000057263337657048921083601984467370217074316967460441850110603522617492165064487632748604552622788244995892958613165134500443563626203955612146946777801522766956938456298719040689437291839488 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z #s(literal 79999999999999996814840445986014158451600378337956339011904945005517378013250878936070116031219950374624773536584264883513726313185674331749743828139763820834706001142617780333533777178574908679757929971103400718237696 binary64)) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 3242591731706757/18014398509481984 binary64)) (fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) (+.f64 (cos.f64 y) x))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) (+.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3242591731706757/18014398509481984 binary64)) (fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x (cos.f64 y)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2242792614430507/2251799813685248 binary64)) (cos.f64 y) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -35 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 6980579422424269/2251799813685248 binary64)) (fma.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -360000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5404319552844595/2251799813685248 binary64)) (fma.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -35 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1200000000000000023171116165960292210384514014055552253952 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -3602879701896397/36028797018963968 binary64)) x (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
| 10 770× | lower-fma.f64 |
| 10 770× | lower-fma.f32 |
| 10 746× | lower-fma.f64 |
| 10 746× | lower-fma.f32 |
| 6 280× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 47 | 19 |
| 2 | 388 | 19 |
| 3 | 5630 | 19 |
| 0 | 8225 | 19 |
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 771 | 605 |
| 3 | 2082 | 601 |
| 4 | 4360 | 601 |
| 5 | 6324 | 601 |
| 0 | 8449 | 579 |
| 0 | 21 | 91 |
| 0 | 38 | 83 |
| 1 | 150 | 83 |
| 2 | 1112 | 83 |
| 0 | 8338 | 82 |
| 0 | 398 | 3273 |
| 1 | 1188 | 3216 |
| 2 | 3551 | 3086 |
| 0 | 8449 | 2973 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 560 to 270 computations (51.8% saved)
Compiled 644 to 178 computations (72.4% saved)
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