
Time bar (total: 9.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 6.7% | 6.2% | 87.4% | 0.1% | 0% | 6.2% | 0% | 7 |
| 6.7% | 6.2% | 87.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 20.7% | 18.7% | 71.8% | 0.1% | 0% | 9.4% | 0% | 9 |
| 34.5% | 29.6% | 56.2% | 0.1% | 0% | 14% | 0% | 10 |
| 34.5% | 29.6% | 56.2% | 0.1% | 0% | 14% | 0% | 11 |
| 50.5% | 42.1% | 41.3% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 17 to 11 computations (35.3% saved)
ival-add: 51.0ms (27.3% of total)ival-div: 43.0ms (23.1% of total)ival-mult: 39.0ms (20.9% of total)ival-exp: 28.0ms (15% of total)ival-log: 24.0ms (12.9% of total)const: 2.0ms (1.1% of total)backward-pass: 1.0ms (0.5% of total)| 1.2s | 2249× | 1 | valid |
| 723.0ms | 6007× | 0 | valid |
| 77.0ms | 916× | 0 | invalid |
ival-log: 652.0ms (41.8% of total)ival-div: 236.0ms (15.1% of total)ival-add: 224.0ms (14.4% of total)ival-mult: 196.0ms (12.6% of total)ival-exp: 161.0ms (10.3% of total)backward-pass: 81.0ms (5.2% of total)const: 10.0ms (0.6% of total)| 2× | egg-herbie |
| 1590× | fnmsub-define |
| 1476× | fnmadd-define |
| 1464× | sum3-define |
| 1344× | fmm-def |
| 1150× | fmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 143 |
| 1 | 108 | 115 |
| 2 | 233 | 113 |
| 3 | 585 | 113 |
| 4 | 1600 | 113 |
| 5 | 4155 | 110 |
| 6 | 7235 | 110 |
| 0 | 10 | 13 |
| 1 | 15 | 11 |
| 2 | 18 | 11 |
| 3 | 18 | 11 |
| 0 | 18 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (exp (* y (log (/ y (+ z y))))) y)) |
| Outputs |
|---|
(+ x (/ (exp (* y (log (/ y (+ z y))))) y)) |
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
| Inputs |
|---|
(+ x (/ (exp (* y (log (/ y (+ z y))))) y)) |
(+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y)) |
(+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y))) |
(+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y)) |
(neg (+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y))) |
(neg (+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y)))) |
(neg (+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y))) |
(+ y (/ (exp (* x (log (/ x (+ z x))))) x)) |
(+ z (/ (exp (* y (log (/ y (+ x y))))) y)) |
(+ x (/ (exp (* z (log (/ z (+ y z))))) z)) |
| Outputs |
|---|
(+ x (/ (exp (* y (log (/ y (+ z y))))) y)) |
(fma (recip y) (pow (/ y (+ y z)) y) x) |
(+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y)) |
(- (/ (pow (/ y (+ y z)) y) y) x) |
(+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y))) |
(fnmadd (pow (/ (- y z) y) y) (recip y) x) |
(+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y)) |
(+ x (/ (pow (/ y (- y z)) y) y)) |
(neg (+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y))) |
(fnmadd (recip y) (pow (/ y (+ y z)) y) x) |
(neg (+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y)))) |
(fmsub (pow (/ (- y z) y) y) (recip y) x) |
(neg (+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y))) |
(fnmsub (pow (/ y (- y z)) y) (recip y) x) |
(+ y (/ (exp (* x (log (/ x (+ z x))))) x)) |
(fma (pow (/ x (+ x z)) x) (recip x) y) |
(+ z (/ (exp (* y (log (/ y (+ x y))))) y)) |
(fma (pow (/ y (+ x y)) y) (recip y) z) |
(+ x (/ (exp (* z (log (/ z (+ y z))))) z)) |
(fma (pow (/ z (+ y z)) z) (recip z) x) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 148 | 1 | (1.861681651649772e-184 -2.9175096758210355e-67 -1.251605338662852e-69) | 1 | (4.315277331623724e-74 4.032184739035974e-16 1.2657892033647782e+306) | (log.f64 (/.f64 y (+.f64 z y))) |
| 42 | 0 | - | 2 | (-7.145771931962189e-185 1.4286526776275012e+96 -3.902101187188638e-224) | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
| 1 | 1 | (-9.501580905534004e-34 -5.815787557344362e+143 206.08113433169558) | 0 | - | (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 0 | 0 | - | 0 | - | (+.f64 z y) |
| 0 | 0 | - | 0 | - | (/.f64 y (+.f64 z y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 99.0ms | 278× | 1 | valid |
| 26.0ms | 24× | 3 | valid |
| 24.0ms | 184× | 0 | valid |
| 15.0ms | 26× | 2 | valid |
Compiled 140 to 32 computations (77.1% saved)
ival-log: 50.0ms (47.2% of total)ival-div: 17.0ms (16% of total)ival-add: 12.0ms (11.3% of total)ival-exp: 10.0ms (9.4% of total)backward-pass: 9.0ms (8.5% of total)ival-mult: 8.0ms (7.5% of total)const: 1.0ms (0.9% of total)Compiled 14 to 8 computations (42.9% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.5% | (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
Compiled 14 to 8 computations (42.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y (+.f64 y z)) |
| ✓ | cost-diff | 0 | (pow.f64 (/.f64 y (+.f64 y z)) y) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 4× | /-lowering-/.f32 |
| 4× | /-lowering-/.f64 |
| 4× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 38 |
| 1 | 10 | 38 |
| 0 | 10 | 38 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(/ (pow (/ y (+ y z)) y) y) |
(pow (/ y (+ y z)) y) |
(/ y (+ y z)) |
y |
(+ y z) |
z |
| Outputs |
|---|
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
x |
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) |
(pow (/ y (+ y z)) y) |
(pow.f64 (/.f64 y (+.f64 y z)) y) |
(/ y (+ y z)) |
(/.f64 y (+.f64 y z)) |
y |
(+ y z) |
(+.f64 y z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
| ✓ | accuracy | 100.0% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) |
| ✓ | accuracy | 100.0% | (/.f64 y (+.f64 y z)) |
| ✓ | accuracy | 81.6% | (pow.f64 (/.f64 y (+.f64 y z)) y) |
| 45.0ms | 111× | 1 | valid |
| 17.0ms | 145× | 0 | valid |
Compiled 42 to 9 computations (78.6% saved)
ival-pow: 26.0ms (66.2% of total)ival-div: 6.0ms (15.3% of total)ival-add: 5.0ms (12.7% of total)backward-pass: 2.0ms (5.1% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))> |
#<alt (/ (pow (/ y (+ y z)) y) y)> |
#<alt (pow (/ y (+ y z)) y)> |
#<alt (/ y (+ y z))> |
| Outputs |
|---|
#<alt (/ (pow (/ y (+ y z)) y) y)> |
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))> |
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))> |
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))> |
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))> |
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)> |
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)> |
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)> |
#<alt x> |
#<alt (+ x (/ (exp (* -1 z)) y))> |
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))> |
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))> |
#<alt x> |
#<alt (+ x (/ (exp (* -1 z)) y))> |
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))> |
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))> |
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))> |
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))> |
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))> |
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))> |
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))> |
#<alt (+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))> |
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))> |
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))> |
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)> |
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)> |
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)> |
#<alt (/ (exp (* -1 z)) y)> |
#<alt (/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)> |
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)> |
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)> |
#<alt (/ (exp (* -1 z)) y)> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ z y)) (/ 1 y))> |
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))> |
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))> |
#<alt (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)> |
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))> |
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))> |
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))> |
#<alt (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)> |
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))> |
#<alt 1> |
#<alt (+ 1 (* y (+ (log y) (log (/ 1 z)))))> |
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))> |
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))> |
#<alt (exp (* -1 z))> |
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))> |
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))> |
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))> |
#<alt (exp (* -1 z))> |
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))> |
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))> |
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 z))> |
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))> |
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))> |
#<alt (exp (* y (+ (log y) (log (/ 1 z)))))> |
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))> |
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))> |
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))> |
#<alt (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))> |
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))> |
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))> |
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))> |
#<alt (/ y z)> |
#<alt (* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))> |
#<alt (* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))> |
#<alt (* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ z y)))> |
#<alt (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))> |
#<alt (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ z y)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ z y)))> |
#<alt (+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))> |
#<alt (+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))> |
#<alt (/ y z)> |
#<alt (/ (+ y (* -1 (/ (pow y 2) z))) z)> |
#<alt (/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)> |
#<alt (/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)> |
#<alt (/ y z)> |
#<alt (* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (+ x (/ (pow (/ y (+ y z)) y) y)) |
| 3.0ms | y | @ | -inf | (+ x (/ (pow (/ y (+ y z)) y) y)) |
| 2.0ms | y | @ | 0 | (pow (/ y (+ y z)) y) |
| 2.0ms | y | @ | inf | (+ x (/ (pow (/ y (+ y z)) y) y)) |
| 2.0ms | z | @ | inf | (+ x (/ (pow (/ y (+ y z)) y) y)) |
| 1× | batch-egg-rewrite |
| 3768× | *-lowering-*.f32 |
| 3768× | *-lowering-*.f64 |
| 2874× | /-lowering-/.f32 |
| 2874× | /-lowering-/.f64 |
| 1446× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 56 | 32 |
| 2 | 497 | 32 |
| 3 | 7401 | 32 |
| 0 | 8122 | 32 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(pow (/ y (+ y z)) y) |
(/ y (+ y z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))) |
(-.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x))) |
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) y)) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y) x) |
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) y) x) |
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y))))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y)))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y)))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 9 binary64))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 6 binary64))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y)))) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 6 binary64))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (+.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 4 binary64))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (+.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (+.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y))))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y))))) |
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(*.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) y) (pow.f64 (-.f64 y z) y)) |
(*.f64 (pow.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 y z) (*.f64 #s(literal -1 binary64) (/.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (pow.f64 y (/.f64 y #s(literal 2 binary64)))) (pow.f64 (+.f64 y z) (*.f64 #s(literal -1 binary64) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 4 binary64)))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) y)) |
(+.f64 (*.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 y y)) (*.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 z (-.f64 z y)))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 z (-.f64 z y))) (*.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) y) (*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 #s(literal 0 binary64) z))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (-.f64 z y)) (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) |
(+.f64 (*.f64 (*.f64 z (-.f64 z y)) (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 y y) (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))))) |
(exp.f64 (log.f64 (/.f64 y (+.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y z) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) z)) (/.f64 y (-.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(neg.f64 (/.f64 y (-.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (-.f64 #s(literal 0 binary64) y) z)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) y))) |
(/.f64 y (+.f64 y z)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 y z) y)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y z) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z z) (*.f64 y (-.f64 y z))))) |
(/.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (*.f64 y (-.f64 y z)))) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) |
(/.f64 (*.f64 y (-.f64 y z)) (-.f64 (*.f64 y y) (*.f64 z z))) |
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (+.f64 y z)))) |
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (-.f64 z y)) (*.f64 z (*.f64 (-.f64 z y) (*.f64 z (-.f64 z y))))))) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (-.f64 z y)) (-.f64 (*.f64 z (-.f64 z y)) (*.f64 y y)))))) |
(/.f64 (*.f64 y (*.f64 (+.f64 (*.f64 z z) (*.f64 y (-.f64 y z))) (-.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (-.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))) |
(/.f64 (*.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (+.f64 y z))) |
(/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))) |
(/.f64 (*.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (-.f64 z y)) (*.f64 z (*.f64 (-.f64 z y) (*.f64 z (-.f64 z y))))))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (-.f64 z y)) (-.f64 (*.f64 z (-.f64 z y)) (*.f64 y y))))) |
(/.f64 (*.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 (*.f64 z z) (*.f64 y (-.f64 y z))) (-.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))) (-.f64 (*.f64 y y) (*.f64 z (-.f64 z y)))) |
(/.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z)) |
(/.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) |
(pow.f64 (/.f64 (+.f64 y z) y) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y z))) |
(*.f64 (/.f64 y (+.f64 y z)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (+.f64 y z))) |
(*.f64 (+.f64 (*.f64 z z) (*.f64 y (-.f64 y z))) (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y z))) |
(*.f64 (-.f64 y z) (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z)))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y z)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 z z) (*.f64 y (-.f64 y z)))) |
(*.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z z) (*.f64 y (-.f64 y z)))))) |
(*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 y z)) |
(*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 y (+.f64 (*.f64 z z) (*.f64 y (-.f64 y z))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (-.f64 y z)) (*.f64 y (-.f64 y z))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (+.f64 y z))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y z) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y z) y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (+.f64 (*.f64 z z) (*.f64 y (-.f64 y z)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z)))) (-.f64 y z)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z z) (*.f64 y (-.f64 y z))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 #s(literal 0 binary64) (-.f64 y z))) |
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z z) (*.f64 y (-.f64 y z))))) |
(*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 #s(literal 0 binary64) (-.f64 y z)))) (-.f64 #s(literal 0 binary64) (-.f64 y z))) |
(*.f64 (/.f64 y (-.f64 (*.f64 z z) (*.f64 y y))) (-.f64 z y)) |
| 1× | egg-herbie |
| 4284× | *-lowering-*.f32 |
| 4284× | *-lowering-*.f64 |
| 2626× | +-lowering-+.f64 |
| 2626× | +-lowering-+.f32 |
| 1140× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 441 | 2963 |
| 1 | 1450 | 2397 |
| 2 | 5349 | 2325 |
| 0 | 8377 | 2325 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(/ 1 y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ 1 y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y) |
(/ (exp (* -1 z)) y) |
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y) |
(/ (exp (* -1 z)) y) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
1 |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(exp (* y (+ (log y) (log (/ 1 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(/ y z) |
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z))) |
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
1 |
(+ 1 (* -1 (/ z y))) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) |
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y)))) |
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(/ y z) |
(/ (+ y (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x))) (-.f64 #s(literal 0 binary64) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) z)))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) z))))))) y) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
(+.f64 x (+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
(+.f64 (+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))) (+.f64 (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (+.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -2 binary64))))) (*.f64 y (*.f64 y y))) x)) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(-.f64 x (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) z))) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(+.f64 x (/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z (*.f64 z #s(literal 2 binary64)))))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))) y)) y)) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (*.f64 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y))))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)))) (/.f64 #s(literal -1 binary64) y)))) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+.f64 x (-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) y) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (/.f64 y z)))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) y) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) y)))) (*.f64 y (*.f64 z z)))) (-.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (/.f64 y z)))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) y) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (/.f64 y z))) (+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) y) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 z z))) (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 y (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/6 binary64))))) (*.f64 z (*.f64 z z))))) x)) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+.f64 x (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) (-.f64 x (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (/.f64 y z)))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(-.f64 (+.f64 x (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y)) (/.f64 (+.f64 (*.f64 y (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y))) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 y z))))) z)) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(-.f64 (+.f64 x (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y)) (/.f64 (-.f64 (*.f64 y (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) y))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y)) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (+.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 y z))) z)) z)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
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(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 (*.f64 z z) #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z (*.f64 z #s(literal 2 binary64)))))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))) y)) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 (*.f64 z z) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (+.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z (*.f64 z #s(literal 2 binary64))))))) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (+.f64 (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal -1/48 binary64)) (*.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 z z) #s(literal 1/12 binary64)))) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 30 binary64)) #s(literal -1/24 binary64)))) y)) y)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))))) |
(exp (* y (+ (log y) (log (/ 1 z))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (/.f64 (*.f64 y y) z))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) y)))) (*.f64 z z)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (/.f64 (*.f64 y y) z)))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) |
(+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (/.f64 (*.f64 y y) z))) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 z z))) (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 y (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/6 binary64))))) (*.f64 z (*.f64 z z)))))) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (/.f64 (*.f64 y y) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) y))) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y))) z)) z)) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) y))) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (+.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64)))))) z)) z)) z)) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z))) |
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z)))) |
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 y (*.f64 z (*.f64 z z))))))) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 y (*.f64 (*.f64 z z) (*.f64 z z))))) (/.f64 #s(literal -1 binary64) (*.f64 z z)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z z) y) z) y)) |
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (/.f64 (-.f64 (*.f64 z (/.f64 (*.f64 z z) y)) (*.f64 z z)) y)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z z) y) z) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (/.f64 (-.f64 (*.f64 z (/.f64 (*.f64 z z) y)) (*.f64 z z)) y)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z z) y) z) y)) |
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 (/.f64 z y) y) y))) (/.f64 #s(literal -1 binary64) y)))) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (* -1 (/ (pow y 2) z))) z) |
(/.f64 (-.f64 y (/.f64 (*.f64 y y) z)) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z) |
(/.f64 (+.f64 y (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) z) (*.f64 y y)) z)) z) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z) |
(/.f64 (+.f64 (-.f64 y (/.f64 (*.f64 (*.f64 y (*.f64 y y)) y) (*.f64 z (*.f64 z z)))) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) z) (*.f64 y y)) z)) z) |
(/ y z) |
(/.f64 y z) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 y y) z) y)) z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(/.f64 (+.f64 y (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) z) (*.f64 y y)) z)) z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) y) z) (*.f64 y (*.f64 y y))) z) (*.f64 y y)) z) y) z)) |
Compiled 9110 to 1183 computations (87% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 294 | 9 | 303 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 295 | 9 | 304 |
| Status | Accuracy | Program |
|---|---|---|
| 42.4% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) | |
| 42.3% | (/.f64 #s(literal 1 binary64) y) | |
| ▶ | 71.4% | (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
| 71.4% | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) | |
| 67.3% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y)) | |
| ▶ | 61.6% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))))) y)) |
| ▶ | 87.7% | (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) |
| ▶ | 86.5% | (+.f64 x (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 49.9% | x |
Compiled 234 to 160 computations (31.6% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))))) y) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))))) y)) |
| ✓ | cost-diff | 0 | (/.f64 z y) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 z y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) z) |
| ✓ | cost-diff | 0 | (exp.f64 (-.f64 #s(literal 0 binary64) z)) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) |
| 3622× | +-lowering-+.f64 |
| 3622× | +-lowering-+.f32 |
| 2056× | *-lowering-*.f32 |
| 2056× | *-lowering-*.f64 |
| 1792× | sum5-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 282 |
| 1 | 84 | 264 |
| 2 | 242 | 256 |
| 3 | 878 | 255 |
| 4 | 5191 | 255 |
| 0 | 8823 | 255 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (exp (- 0 z)) y)) |
x |
(/ (exp (- 0 z)) y) |
(exp (- 0 z)) |
(- 0 z) |
0 |
z |
y |
x |
(+ x (/ 1 y)) |
x |
(/ 1 y) |
1 |
y |
(+ (/ 1 y) (- x (/ z y))) |
(/ 1 y) |
1 |
y |
(- x (/ z y)) |
x |
(/ z y) |
z |
(+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) y)) |
x |
(/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) y) |
(+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) |
1 |
(* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y)))))))))) |
z |
(+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))) |
-1 |
(* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y)))))))) |
(+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))) |
1/2 |
(- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y)))))) |
(/ 1/2 y) |
y |
(* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) |
(+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y)))) |
(+ 1/6 (/ 1/3 (* y y))) |
1/6 |
(/ 1/3 (* y y)) |
1/3 |
(* y y) |
| Outputs |
|---|
(+ x (/ (exp (- 0 z)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)))) |
x |
(/ (exp (- 0 z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(exp (- 0 z)) |
(exp.f64 (-.f64 #s(literal 0 binary64) z)) |
(- 0 z) |
(-.f64 #s(literal 0 binary64) z) |
0 |
#s(literal 0 binary64) |
z |
y |
x |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
x |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(+ (/ 1 y) (- x (/ z y))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(- x (/ z y)) |
(-.f64 x (/.f64 z y)) |
x |
(/ z y) |
(/.f64 z y) |
z |
(+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))))))) y)) |
x |
(/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))))))) y) |
(+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))))))) |
1 |
#s(literal 1 binary64) |
(* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y)))))))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))))))) |
z |
(+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))) |
(+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))))) |
-1 |
#s(literal -1 binary64) |
(* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y)))))))) |
(*.f64 z (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))))) |
(+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))) |
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))) |
1/2 |
#s(literal 1/2 binary64) |
(- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y)))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
y |
(* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) |
(+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y)))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) |
(+ 1/6 (/ 1/3 (* y y))) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) |
1/6 |
#s(literal 1/6 binary64) |
(/ 1/3 (* y y)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
1/3 |
#s(literal 1/3 binary64) |
(* y y) |
(*.f64 y y) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.8% | (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
| ✓ | accuracy | 97.9% | (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))))))) |
| ✓ | accuracy | 96.3% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))))) y) |
| ✓ | accuracy | 95.2% | (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) |
| ✓ | accuracy | 100.0% | (/.f64 z y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 z y)) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) z) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) |
| ✓ | accuracy | 100.0% | (exp.f64 (-.f64 #s(literal 0 binary64) z)) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) |
| 184.0ms | 256× | 0 | valid |
Compiled 307 to 33 computations (89.3% saved)
ival-exp: 66.0ms (54.5% of total)ival-div: 25.0ms (20.7% of total)ival-add: 11.0ms (9.1% of total)ival-mult: 7.0ms (5.8% of total)...c/correct-round.rkt:119:19: 7.0ms (5.8% of total)ival-sub: 4.0ms (3.3% of total)const: 1.0ms (0.8% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ (exp (- 0 z)) y))> |
#<alt (/ (exp (- 0 z)) y)> |
#<alt (exp (- 0 z))> |
#<alt (- 0 z)> |
#<alt (+ x (/ 1 y))> |
#<alt (/ 1 y)> |
#<alt (+ (/ 1 y) (- x (/ z y)))> |
#<alt (- x (/ z y))> |
#<alt (/ z y)> |
#<alt (+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) y))> |
#<alt (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) y)> |
#<alt (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y)))))))))))> |
#<alt (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))> |
#<alt (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y)))))> |
#<alt (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))> |
#<alt (/ 1/3 (* y y))> |
| Outputs |
|---|
#<alt (/ (exp (neg z)) y)> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))> |
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))> |
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))> |
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt (+ x (/ (exp (* -1 z)) y))> |
#<alt (+ x (/ (exp (* -1 z)) y))> |
#<alt (+ x (/ (exp (* -1 z)) y))> |
#<alt (+ x (/ (exp (* -1 z)) y))> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (+ (exp (neg z)) (* x y)) y)> |
#<alt (/ (+ (exp (neg z)) (* x y)) y)> |
#<alt (/ (+ (exp (neg z)) (* x y)) y)> |
#<alt x> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt x> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ z y)) (/ 1 y))> |
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))> |
#<alt (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (* -1 z)) y)> |
#<alt (/ (exp (* -1 z)) y)> |
#<alt (/ (exp (* -1 z)) y)> |
#<alt (/ (exp (* -1 z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt (/ (exp (neg z)) y)> |
#<alt 1> |
#<alt (+ 1 (* -1 z))> |
#<alt (+ 1 (* z (- (* 1/2 z) 1)))> |
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))> |
#<alt (exp (neg z))> |
#<alt (exp (neg z))> |
#<alt (exp (neg z))> |
#<alt (exp (neg z))> |
#<alt (exp (* -1 z))> |
#<alt (exp (* -1 z))> |
#<alt (exp (* -1 z))> |
#<alt (exp (* -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 z)> |
#<alt (/ 1 y)> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt x> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt x> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- (+ 1 (* x y)) z) y)> |
#<alt (/ (- (+ 1 (* x y)) z) y)> |
#<alt (/ (- (+ 1 (* x y)) z) y)> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt x> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (- (/ 1 y) (/ z y))> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (* -1 (/ z y))> |
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))> |
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))> |
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))> |
#<alt (* -1 (/ z y))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))> |
#<alt (* -1 (/ z y))> |
#<alt (- x (/ z y))> |
#<alt (- x (/ z y))> |
#<alt (- x (/ z y))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))> |
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))> |
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ z (* x y)) 1)))> |
#<alt (* -1 (* x (- (/ z (* x y)) 1)))> |
#<alt (* -1 (* x (- (/ z (* x y)) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (* -1 (/ z y))> |
#<alt (* z (- (/ x z) (/ 1 y)))> |
#<alt (* z (- (/ x z) (/ 1 y)))> |
#<alt (* z (- (/ x z) (/ 1 y)))> |
#<alt (* -1 (/ z y))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))> |
#<alt (* -1 (/ z y))> |
#<alt (/ (- (* x y) z) y)> |
#<alt (/ (- (* x y) z) y)> |
#<alt (/ (- (* x y) z) y)> |
#<alt x> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt x> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (+ (/ 1 y) (/ (* z (- (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) 1)) y))> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) 1)) y)))> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) 1)) y)))> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) 1)) y)))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) 1)) (* x y)))))> |
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) 1)) (* x y)))))> |
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) 1)) (* x y)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) 1)) y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) 1)) y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) 1)) y)) x)) 1)))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))> |
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))> |
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))> |
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))))))> |
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3))))) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))))))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (- 1/2 (* 1/2 z))))) (pow y 3))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) (* (pow z 2) (- 1/2 (* 1/2 z)))))) (pow y 3))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (+ (* x y) (* z (- (* z (- 1/2 (* 1/6 z))) 1))))) (* (pow z 2) (- 1/2 (* 1/2 z)))))) (pow y 3))> |
#<alt x> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)))> |
#<alt (+ x (+ (/ 1 y) (+ (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y) (/ (* (pow z 2) (- 1/2 (* 1/2 z))) (pow y 2)))))> |
#<alt (+ x (+ (* -1/3 (/ (pow z 3) (pow y 3))) (+ (/ 1 y) (+ (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y) (/ (* (pow z 2) (- 1/2 (* 1/2 z))) (pow y 2))))))> |
#<alt x> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)))> |
#<alt (+ x (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) y)))> |
#<alt (+ x (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) (* -1 (/ (+ (* -1/3 (/ (pow z 3) y)) (* (pow z 2) (+ 1/2 (* -1/2 z)))) y))) y)))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ z y)) (/ 1 y))> |
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))> |
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))> |
#<alt (* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))> |
#<alt (* (pow z 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))))> |
#<alt (* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2)))))> |
#<alt (* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (/ 1 (* y (pow z 3)))))) (/ 1 (* y (pow z 2)))))> |
#<alt (* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (- 1/2 (* 1/2 z))))) (pow y 3))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) (* (pow z 2) (- 1/2 (* 1/2 z)))))) (pow y 3))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) (* (pow z 2) (- 1/2 (* 1/2 z)))))) (pow y 3))> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (+ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (/ (* (pow z 2) (- 1/2 (* 1/2 z))) y))) y)> |
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (/ (* (pow z 2) (- 1/2 (* 1/2 z))) y)))) y)> |
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (/ (* (pow z 2) (- 1/2 (* 1/2 z))) y)))) y)> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) (* -1 (/ (+ (* -1/3 (/ (pow z 3) y)) (* (pow z 2) (+ 1/2 (* -1/2 z)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) (* -1 (/ (+ (* -1/3 (/ (pow z 3) y)) (* (pow z 2) (+ 1/2 (* -1/2 z)))) y))) y))> |
#<alt 1> |
#<alt (+ 1 (* -1 z))> |
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))> |
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))> |
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))> |
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))))))> |
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3)))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))))))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (- 1/2 (* 1/2 z))))) (pow y 2))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) (* (pow z 2) (- 1/2 (* 1/2 z)))))) (pow y 2))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) (* (pow z 2) (- 1/2 (* 1/2 z)))))) (pow y 2))> |
#<alt (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1)))> |
#<alt (+ 1 (+ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (/ (* (pow z 2) (- 1/2 (* 1/2 z))) y)))> |
#<alt (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (/ (* (pow z 2) (- 1/2 (* 1/2 z))) y))))> |
#<alt (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (/ (* (pow z 2) (- 1/2 (* 1/2 z))) y))))> |
#<alt (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1)))> |
#<alt (+ 1 (+ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 3) y))) y)) (* z (- (* z (- 1/2 (* 1/6 z))) 1))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 3) y))) y)) (* z (- (* z (- 1/2 (* 1/6 z))) 1))))> |
#<alt (* -1 z)> |
#<alt (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))> |
#<alt (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))> |
#<alt (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))> |
#<alt (* (pow z 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))> |
#<alt (* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (- 1/2 (* 1/2 z))))) (pow y 2))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (* z (- (* z (- 1/2 (* 1/6 z))) 1))) (* (pow z 2) (- 1/2 (* 1/2 z)))))) (pow y 2))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (* z (- (* z (- 1/2 (* 1/6 z))) 1))) (* (pow z 2) (- 1/2 (* 1/2 z)))))) (pow y 2))> |
#<alt (* z (- (* z (- 1/2 (* 1/6 z))) 1))> |
#<alt (+ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (/ (* (pow z 2) (- 1/2 (* 1/2 z))) y))> |
#<alt (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (/ (* (pow z 2) (- 1/2 (* 1/2 z))) y)))> |
#<alt (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (/ (* (pow z 2) (- 1/2 (* 1/2 z))) y)))> |
#<alt (* z (- (* z (- 1/2 (* 1/6 z))) 1))> |
#<alt (+ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))> |
#<alt (+ (* -1 (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 3) y))) y)) (* z (- (* z (- 1/2 (* 1/6 z))) 1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 3) y))) y)) (* z (- (* z (- 1/2 (* 1/6 z))) 1)))> |
#<alt (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))> |
#<alt (* 1/3 (/ z (pow y 2)))> |
#<alt (/ (+ (* 1/3 z) (* 1/2 (* y z))) (pow y 2))> |
#<alt (/ (+ (* 1/3 z) (* y (+ (* 1/6 (* y z)) (* 1/2 z)))) (pow y 2))> |
#<alt (/ (+ (* 1/3 z) (* y (+ (* 1/6 (* y z)) (* 1/2 z)))) (pow y 2))> |
#<alt (* 1/6 z)> |
#<alt (+ (* 1/6 z) (* 1/2 (/ z y)))> |
#<alt (+ (* 1/6 z) (+ (* 1/3 (/ z (pow y 2))) (* 1/2 (/ z y))))> |
#<alt (+ (* 1/6 z) (+ (* 1/3 (/ z (pow y 2))) (* 1/2 (/ z y))))> |
#<alt (* 1/6 z)> |
#<alt (+ (* 1/6 z) (* 1/2 (/ z y)))> |
#<alt (+ (* -1 (/ (+ (* -1/2 z) (* -1/3 (/ z y))) y)) (* 1/6 z))> |
#<alt (+ (* -1 (/ (+ (* -1/2 z) (* -1/3 (/ z y))) y)) (* 1/6 z))> |
#<alt (* z (+ 1/2 (* 1/2 (/ 1 y))))> |
#<alt (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))> |
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))> |
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* -1/3 (/ (pow z 2) (pow y 2)))> |
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (* z (- 1/2 (* 1/2 z))))) (pow y 2))> |
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (- 1/2 (* 1/6 z)))) (* z (- 1/2 (* 1/2 z)))))) (pow y 2))> |
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (- 1/2 (* 1/6 z)))) (* z (- 1/2 (* 1/2 z)))))) (pow y 2))> |
#<alt (* z (- 1/2 (* 1/6 z)))> |
#<alt (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y))> |
#<alt (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y)))> |
#<alt (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y)))> |
#<alt (* z (- 1/2 (* 1/6 z)))> |
#<alt (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))> |
#<alt (+ (* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) y))) y)) (* z (- 1/2 (* 1/6 z))))> |
#<alt (+ (* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) y))) y)) (* z (- 1/2 (* 1/6 z))))> |
#<alt (/ 1/3 (pow y 2))> |
#<alt (/ 1/3 (pow y 2))> |
#<alt (/ 1/3 (pow y 2))> |
#<alt (/ 1/3 (pow y 2))> |
#<alt (/ 1/3 (pow y 2))> |
#<alt (/ 1/3 (pow y 2))> |
#<alt (/ 1/3 (pow y 2))> |
#<alt (/ 1/3 (pow y 2))> |
#<alt (/ 1/3 (pow y 2))> |
#<alt (/ 1/3 (pow y 2))> |
#<alt (/ 1/3 (pow y 2))> |
#<alt (/ 1/3 (pow y 2))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | inf | (+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) y)) |
| 4.0ms | z | @ | -inf | (/ z y) |
| 2.0ms | x | @ | 0 | (+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) y)) |
| 1.0ms | z | @ | 0 | (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) |
| 1.0ms | z | @ | -inf | (+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) y)) |
| 1× | batch-egg-rewrite |
| 2810× | *-lowering-*.f32 |
| 2810× | *-lowering-*.f64 |
| 2716× | fma-lowering-fma.f32 |
| 2716× | fma-lowering-fma.f64 |
| 2206× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 183 |
| 1 | 260 | 170 |
| 2 | 3088 | 165 |
| 0 | 9097 | 165 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (exp (- 0 z)) y)) |
(/ (exp (- 0 z)) y) |
(exp (- 0 z)) |
(- 0 z) |
(+ x (/ 1 y)) |
(/ 1 y) |
(+ (/ 1 y) (- x (/ z y))) |
(- x (/ z y)) |
(/ z y) |
(+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) y)) |
(/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) y) |
(+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))))))))) |
(* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y)))))))))) |
(* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) |
(* z (+ 1/2 (- (/ 1/2 y) (* z (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y)))))))) |
(/ 1/3 (* y y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y)) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y))) (/.f64 (/.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z))) (*.f64 y y)) (-.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (exp.f64 z)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y) x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z))) (*.f64 y y))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y) x)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 y (exp.f64 z)))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z))) (*.f64 y y))) (-.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z))) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y)))) |
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y) x)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y) x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
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(+.f64 (/.f64 z (/.f64 y #s(literal 1/2 binary64))) (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) |
(+.f64 (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 z (/.f64 y #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (*.f64 z (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) z) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) z)) |
(fma.f64 z (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) |
(fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z (/.f64 y #s(literal 1/2 binary64)))) |
(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) (*.f64 z (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 z y) (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) z (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) |
(fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z (/.f64 z (/.f64 y #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) z (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) z)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 (/.f64 z (/.f64 y #s(literal 1/2 binary64))) (/.f64 z (/.f64 y #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) (*.f64 (/.f64 z (/.f64 y #s(literal 1/2 binary64))) (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 z (/.f64 y #s(literal 1/2 binary64))) (/.f64 z (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))))) (-.f64 (/.f64 z (/.f64 y #s(literal 1/2 binary64))) (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))))) |
(/.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))))) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))))) z) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) z) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) z) |
(+.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))) |
(+.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))) (*.f64 z #s(literal 1/2 binary64))) |
(fma.f64 z #s(literal 1/2 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))) |
(fma.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (*.f64 z #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) z (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) z (*.f64 z #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))) (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))) (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))))) (+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))) (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/2 binary64))) (*.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))) (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))))) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))))) |
(/.f64 (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 z (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))))) z) (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))) z) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))) |
(*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) z) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 y #s(literal 1/3 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (/.f64 y #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) y) y) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) y)) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (*.f64 y (/.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (/.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) y)) |
| 1× | egg-herbie |
| 4412× | *-lowering-*.f32 |
| 4412× | *-lowering-*.f64 |
| 3182× | +-lowering-+.f64 |
| 3182× | +-lowering-+.f32 |
| 1090× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 417 | 4696 |
| 1 | 1409 | 4202 |
| 2 | 5408 | 4160 |
| 0 | 8272 | 4160 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (neg z)) y) |
(+ x (/ (exp (neg z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+ x (/ (exp (neg z)) y)) |
x |
(* x (+ 1 (/ (exp (neg z)) (* x y)))) |
(* x (+ 1 (/ (exp (neg z)) (* x y)))) |
(* x (+ 1 (/ (exp (neg z)) (* x y)))) |
x |
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1))) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))) |
(+ x (/ (exp (neg z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (/ (exp (* -1 z)) y)) |
(/ (exp (neg z)) y) |
(/ (+ (exp (neg z)) (* x y)) y) |
(/ (+ (exp (neg z)) (* x y)) y) |
(/ (+ (exp (neg z)) (* x y)) y) |
x |
(+ x (/ (exp (neg z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+ x (/ (exp (neg z)) y)) |
x |
(+ x (/ (exp (neg z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (* -1 z)) y) |
(/ (exp (* -1 z)) y) |
(/ (exp (* -1 z)) y) |
(/ (exp (* -1 z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
(/ (exp (neg z)) y) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* 1/2 z) 1))) |
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) |
(exp (neg z)) |
(exp (neg z)) |
(exp (neg z)) |
(exp (neg z)) |
(exp (* -1 z)) |
(exp (* -1 z)) |
(exp (* -1 z)) |
(exp (* -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 z) |
(/ 1 y) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(/ 1 y) |
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(+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y)) |
(+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y))) |
(+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y))) |
(* z (- 1/2 (* 1/6 z))) |
(+ (* z (- 1/2 (* 1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) |
(+ (* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) y))) y)) (* z (- 1/2 (* 1/6 z)))) |
(+ (* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) y))) y)) (* z (- 1/2 (* 1/6 z)))) |
(/ 1/3 (pow y 2)) |
(/ 1/3 (pow y 2)) |
(/ 1/3 (pow y 2)) |
(/ 1/3 (pow y 2)) |
(/ 1/3 (pow y 2)) |
(/ 1/3 (pow y 2)) |
(/ 1/3 (pow y 2)) |
(/ 1/3 (pow y 2)) |
(/ 1/3 (pow y 2)) |
(/ 1/3 (pow y 2)) |
(/ 1/3 (pow y 2)) |
(/ 1/3 (pow y 2)) |
| Outputs |
|---|
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
x |
(* x (+ 1 (/ (exp (neg z)) (* x y)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 y x)))) |
(* x (+ 1 (/ (exp (neg z)) (* x y)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 y x)))) |
(* x (+ 1 (/ (exp (neg z)) (* x y)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 y x)))) |
x |
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 z)) (*.f64 y x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 z)) (*.f64 y x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 z)) (*.f64 y x))) (-.f64 #s(literal 0 binary64) x)) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)))) |
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 (/.f64 z y) #s(literal -1/6 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 #s(literal -1 binary64) y)))) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (+ (exp (neg z)) (* x y)) y) |
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 y x)) y) |
(/ (+ (exp (neg z)) (* x y)) y) |
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 y x)) y) |
(/ (+ (exp (neg z)) (* x y)) y) |
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 y x)) y) |
x |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
x |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)))) |
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 (/.f64 z y) #s(literal -1/6 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 #s(literal -1 binary64) y)))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (* -1 z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (* -1 z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (* -1 z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (* -1 z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/ (exp (neg z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (- (* 1/2 z) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64))))) |
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) |
(exp (neg z)) |
(exp.f64 (-.f64 #s(literal 0 binary64) z)) |
(exp (neg z)) |
(exp.f64 (-.f64 #s(literal 0 binary64) z)) |
(exp (neg z)) |
(exp.f64 (-.f64 #s(literal 0 binary64) z)) |
(exp (neg z)) |
(exp.f64 (-.f64 #s(literal 0 binary64) z)) |
(exp (* -1 z)) |
(exp.f64 (-.f64 #s(literal 0 binary64) z)) |
(exp (* -1 z)) |
(exp.f64 (-.f64 #s(literal 0 binary64) z)) |
(exp (* -1 z)) |
(exp.f64 (-.f64 #s(literal 0 binary64) z)) |
(exp (* -1 z)) |
(exp.f64 (-.f64 #s(literal 0 binary64) z)) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* x y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(/ (+ 1 (* x y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(/ (+ 1 (* x y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
x |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
x |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- (+ 1 (* x y)) z) y) |
(/.f64 (+.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) z)) y) |
(/ (- (+ 1 (* x y)) z) y) |
(/.f64 (+.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) z)) y) |
(/ (- (+ 1 (* x y)) z) y) |
(/.f64 (+.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) z)) y) |
x |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (/ 1 y) (/ z y)) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (-.f64 #s(literal 0 binary64) x)) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* -1 (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) y)))) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) y)))) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(-.f64 (*.f64 z (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) z)) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(-.f64 (*.f64 z (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) z)) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(-.f64 (*.f64 z (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) z)) (/.f64 z y)) |
(* -1 (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(- x (/ z y)) |
(-.f64 x (/.f64 z y)) |
(- x (/ z y)) |
(-.f64 x (/.f64 z y)) |
(- x (/ z y)) |
(-.f64 x (/.f64 z y)) |
x |
(* x (+ 1 (* -1 (/ z (* x y))))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))) |
(* x (+ 1 (* -1 (/ z (* x y))))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))) |
(* x (+ 1 (* -1 (/ z (* x y))))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))) |
x |
(* -1 (* x (- (/ z (* x y)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (/ z (* x y)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (/ z (* x y)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x))) (-.f64 #s(literal 0 binary64) x)) |
x |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(* -1 (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(* z (- (/ x z) (/ 1 y))) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))) |
(* z (- (/ x z) (/ 1 y))) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))) |
(* z (- (/ x z) (/ 1 y))) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(/ (- (* x y) z) y) |
(-.f64 x (/.f64 z y)) |
(/ (- (* x y) z) y) |
(-.f64 x (/.f64 z y)) |
(/ (- (* x y) z) y) |
(-.f64 x (/.f64 z y)) |
x |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
x |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
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(/ 1/3 (pow y 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
(/ 1/3 (pow y 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
(/ 1/3 (pow y 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
Compiled 20648 to 2094 computations (89.9% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 753 | 17 | 770 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 756 | 23 | 779 |
| Status | Accuracy | Program |
|---|---|---|
| 42.4% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) | |
| 54.4% | (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) | |
| 32.2% | (/.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| ▶ | 77.6% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
| 41.9% | (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) | |
| ▶ | 42.3% | (/.f64 #s(literal 1 binary64) y) |
| 50.1% | (-.f64 (*.f64 z (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) z)) (/.f64 z y)) | |
| ✓ | 71.4% | (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
| ▶ | 71.4% | (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y z)))) |
| 57.0% | (+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 x (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))) (*.f64 y x)))) | |
| ▶ | 40.3% | (+.f64 x (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) y)) |
| 71.4% | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) | |
| 55.2% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (*.f64 z (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))))) z) (-.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))))) y)) | |
| 43.9% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))) (*.f64 y y))))) y)) | |
| 73.6% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y)) | |
| 46.2% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (*.f64 y y)))))))) y)) | |
| 72.8% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64))))) y)) | |
| 42.8% | (+.f64 x (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) | |
| ✓ | 86.5% | (+.f64 x (/.f64 #s(literal 1 binary64) y)) |
| 8.5% | (*.f64 (/.f64 z y) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) y)) y)) | |
| ▶ | 9.3% | (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
| 65.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))) | |
| ✓ | 49.9% | x |
Compiled 902 to 543 computations (39.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 y z)) |
| ✓ | cost-diff | 128 | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y z))) |
| ✓ | cost-diff | 256 | (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y z)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 y x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
| 3116× | *-lowering-*.f32 |
| 3116× | *-lowering-*.f64 |
| 1396× | +-lowering-+.f64 |
| 1396× | +-lowering-+.f32 |
| 948× | unsub-neg |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 174 |
| 1 | 81 | 166 |
| 2 | 200 | 163 |
| 3 | 724 | 162 |
| 4 | 2993 | 157 |
| 5 | 6654 | 157 |
| 0 | 8310 | 157 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* y x)) y) |
(+ 1 (* y x)) |
1 |
(* y x) |
y |
x |
(/ 1 y) |
1 |
y |
(+ (/ 1 y) (- x (/ 1 (/ y z)))) |
(/ 1 y) |
1 |
y |
(- x (/ 1 (/ y z))) |
x |
(/ 1 (/ y z)) |
(/ y z) |
z |
(+ x (/ (/ (* z (* z (* z -1/3))) (* y y)) y)) |
x |
(/ (/ (* z (* z (* z -1/3))) (* y y)) y) |
(/ (* z (* z (* z -1/3))) (* y y)) |
(* z (* z (* z -1/3))) |
z |
(* z (* z -1/3)) |
(* z -1/3) |
-1/3 |
(* y y) |
y |
(* (+ (/ 1/2 (* y y)) (+ (/ 1/6 y) (/ 1/3 (* y (* y y))))) (- 0 (* z (* z z)))) |
(+ (/ 1/2 (* y y)) (+ (/ 1/6 y) (/ 1/3 (* y (* y y))))) |
(/ 1/2 (* y y)) |
1/2 |
(* y y) |
y |
(+ (/ 1/6 y) (/ 1/3 (* y (* y y)))) |
(/ 1/6 y) |
1/6 |
(/ 1/3 (* y (* y y))) |
1/3 |
(* y (* y y)) |
(- 0 (* z (* z z))) |
0 |
(* z (* z z)) |
z |
(* z z) |
| Outputs |
|---|
(/ (+ 1 (* y x)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(+ 1 (* y x)) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
1 |
#s(literal 1 binary64) |
(* y x) |
(*.f64 y x) |
y |
x |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(+ (/ 1 y) (- x (/ 1 (/ y z)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(- x (/ 1 (/ y z))) |
(-.f64 x (/.f64 z y)) |
x |
(/ 1 (/ y z)) |
(/.f64 z y) |
(/ y z) |
(/.f64 y z) |
z |
(+ x (/ (/ (* z (* z (* z -1/3))) (* y y)) y)) |
(+.f64 x (/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 z z)) y)) y) y)) |
x |
(/ (/ (* z (* z (* z -1/3))) (* y y)) y) |
(/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 z z)) y)) y) y) |
(/ (* z (* z (* z -1/3))) (* y y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 z z)) y)) y) |
(* z (* z (* z -1/3))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 z (*.f64 z z))) |
z |
(* z (* z -1/3)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(* z -1/3) |
(*.f64 z #s(literal -1/3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(* y y) |
(*.f64 y y) |
y |
(* (+ (/ 1/2 (* y y)) (+ (/ 1/6 y) (/ 1/3 (* y (* y y))))) (- 0 (* z (* z z)))) |
(*.f64 z (*.f64 (*.f64 z z) (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/6 binary64) y))))) |
(+ (/ 1/2 (* y y)) (+ (/ 1/6 y) (/ 1/3 (* y (* y y))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) y) y))) |
(/ 1/2 (* y y)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
1/2 |
#s(literal 1/2 binary64) |
(* y y) |
(*.f64 y y) |
y |
(+ (/ 1/6 y) (/ 1/3 (* y (* y y)))) |
(+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) y) y)) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
1/6 |
#s(literal 1/6 binary64) |
(/ 1/3 (* y (* y y))) |
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) y) y) |
1/3 |
#s(literal 1/3 binary64) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
(- 0 (* z (* z z))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) |
0 |
#s(literal 0 binary64) |
(* z (* z z)) |
(*.f64 z (*.f64 z z)) |
z |
(* z z) |
(*.f64 z z) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/6 binary64) y) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
| ✓ | accuracy | 91.4% | (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) |
| ✓ | accuracy | 83.8% | (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
| ✓ | accuracy | 99.8% | (*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 z #s(literal -1/3 binary64)) |
| ✓ | accuracy | 94.9% | (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) y) |
| ✓ | accuracy | 79.0% | (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y z))) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y z)))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 y z)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 y x)) |
| ✓ | accuracy | 84.8% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
| 129.0ms | 256× | 0 | valid |
Compiled 218 to 35 computations (83.9% saved)
ival-mult: 20.0ms (28.9% of total)...c/correct-round.rkt:119:19: 17.0ms (24.6% of total)ival-div: 16.0ms (23.1% of total)ival-sub: 9.0ms (13% of total)ival-add: 7.0ms (10.1% of total)const: 1.0ms (1.4% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ 1 (* y x)) y)> |
#<alt (+ 1 (* y x))> |
#<alt (* y x)> |
#<alt (/ 1 y)> |
#<alt (+ (/ 1 y) (- x (/ 1 (/ y z))))> |
#<alt (- x (/ 1 (/ y z)))> |
#<alt (/ 1 (/ y z))> |
#<alt (+ x (/ (/ (* z (* z (* z -1/3))) (* y y)) y))> |
#<alt (/ (/ (* z (* z (* z -1/3))) (* y y)) y)> |
#<alt (/ (* z (* z (* z -1/3))) (* y y))> |
#<alt (* z (* z (* z -1/3)))> |
#<alt (* (+ (/ 1/2 (* y y)) (+ (/ 1/6 y) (/ 1/3 (* y (* y y))))) (- 0 (* z (* z z))))> |
#<alt (+ (/ 1/2 (* y y)) (+ (/ 1/6 y) (/ 1/3 (* y (* y y)))))> |
#<alt (/ 1/2 (* y y))> |
#<alt (* y y)> |
#<alt (* z -1/3)> |
#<alt (* z (* z -1/3))> |
#<alt (/ 1/6 y)> |
| Outputs |
|---|
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt x> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt x> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (/ 1 y)> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt 1> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ 1 y)))> |
#<alt (* y (+ x (/ 1 y)))> |
#<alt (* y (+ x (/ 1 y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))> |
#<alt 1> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ 1 x)))> |
#<alt (* x (+ y (/ 1 x)))> |
#<alt (* x (+ y (/ 1 x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- (+ 1 (* x y)) z) y)> |
#<alt (/ (- (+ 1 (* x y)) z) y)> |
#<alt (/ (- (+ 1 (* x y)) z) y)> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt x> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (- (/ 1 y) (/ z y))> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (* -1 (/ z y))> |
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))> |
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))> |
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))> |
#<alt (* -1 (/ z y))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))> |
#<alt (* -1 (/ z y))> |
#<alt (- x (/ z y))> |
#<alt (- x (/ z y))> |
#<alt (- x (/ z y))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))> |
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))> |
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ z (* x y)) 1)))> |
#<alt (* -1 (* x (- (/ z (* x y)) 1)))> |
#<alt (* -1 (* x (- (/ z (* x y)) 1)))> |
#<alt (* -1 (/ z y))> |
#<alt (/ (- (* x y) z) y)> |
#<alt (/ (- (* x y) z) y)> |
#<alt (/ (- (* x y) z) y)> |
#<alt x> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt x> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt x> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (+ x (* -1 (/ z y)))> |
#<alt (* -1 (/ z y))> |
#<alt (* z (- (/ x z) (/ 1 y)))> |
#<alt (* z (- (/ x z) (/ 1 y)))> |
#<alt (* z (- (/ x z) (/ 1 y)))> |
#<alt (* -1 (/ z y))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (+ x (* -1/3 (/ (pow z 3) (pow y 3))))> |
#<alt (+ x (* -1/3 (/ (pow z 3) (pow y 3))))> |
#<alt (+ x (* -1/3 (/ (pow z 3) (pow y 3))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (/ (pow z 3) (* x (pow y 3))))))> |
#<alt (* x (+ 1 (* -1/3 (/ (pow z 3) (* x (pow y 3))))))> |
#<alt (* x (+ 1 (* -1/3 (/ (pow z 3) (* x (pow y 3))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/3 (/ (pow z 3) (* x (pow y 3)))) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ (pow z 3) (* x (pow y 3)))) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ (pow z 3) (* x (pow y 3)))) 1)))> |
#<alt x> |
#<alt (+ x (* -1/3 (/ (pow z 3) (pow y 3))))> |
#<alt (+ x (* -1/3 (/ (pow z 3) (pow y 3))))> |
#<alt (+ x (* -1/3 (/ (pow z 3) (pow y 3))))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* (pow z 3) (- (/ x (pow z 3)) (* 1/3 (/ 1 (pow y 3)))))> |
#<alt (* (pow z 3) (- (/ x (pow z 3)) (* 1/3 (/ 1 (pow y 3)))))> |
#<alt (* (pow z 3) (- (/ x (pow z 3)) (* 1/3 (/ 1 (pow y 3)))))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ x (pow z 3))) (* 1/3 (/ 1 (pow y 3))))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ x (pow z 3))) (* 1/3 (/ 1 (pow y 3))))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ x (pow z 3))) (* 1/3 (/ 1 (pow y 3))))))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* x (pow y 3))) (pow y 3))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* x (pow y 3))) (pow y 3))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* x (pow y 3))) (pow y 3))> |
#<alt x> |
#<alt (+ x (* -1/3 (/ (pow z 3) (pow y 3))))> |
#<alt (+ x (* -1/3 (/ (pow z 3) (pow y 3))))> |
#<alt (+ x (* -1/3 (/ (pow z 3) (pow y 3))))> |
#<alt x> |
#<alt (+ x (* -1/3 (/ (pow z 3) (pow y 3))))> |
#<alt (+ x (* -1/3 (/ (pow z 3) (pow y 3))))> |
#<alt (+ x (* -1/3 (/ (pow z 3) (pow y 3))))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 2)))> |
#<alt (* -1/3 (pow z 3))> |
#<alt (* -1/3 (pow z 3))> |
#<alt (* -1/3 (pow z 3))> |
#<alt (* -1/3 (pow z 3))> |
#<alt (* -1/3 (pow z 3))> |
#<alt (* -1/3 (pow z 3))> |
#<alt (* -1/3 (pow z 3))> |
#<alt (* -1/3 (pow z 3))> |
#<alt (* -1/3 (pow z 3))> |
#<alt (* -1/3 (pow z 3))> |
#<alt (* -1/3 (pow z 3))> |
#<alt (* -1/3 (pow z 3))> |
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))> |
#<alt (/ (+ (* -1/2 (* y (pow z 3))) (* -1/3 (pow z 3))) (pow y 3))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* -1/2 (pow z 3)) (* -1/6 (* y (pow z 3)))))) (pow y 3))> |
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* -1/2 (pow z 3)) (* -1/6 (* y (pow z 3)))))) (pow y 3))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (/ (+ (* -1/2 (/ (pow z 3) y)) (* -1/6 (pow z 3))) y)> |
#<alt (/ (+ (* -1/2 (/ (pow z 3) y)) (+ (* -1/3 (/ (pow z 3) (pow y 2))) (* -1/6 (pow z 3)))) y)> |
#<alt (/ (+ (* -1/2 (/ (pow z 3) y)) (+ (* -1/3 (/ (pow z 3) (pow y 2))) (* -1/6 (pow z 3)))) y)> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1 (/ (+ (* 1/6 (pow z 3)) (* 1/2 (/ (pow z 3) y))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow z 3)) (* -1/3 (/ (pow z 3) y))) y)) (* 1/6 (pow z 3))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow z 3)) (* -1/3 (/ (pow z 3) y))) y)) (* 1/6 (pow z 3))) y))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))))> |
#<alt (* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))))> |
#<alt (/ 1/3 (pow y 3))> |
#<alt (/ (+ 1/3 (* 1/2 y)) (pow y 3))> |
#<alt (/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 3))> |
#<alt (/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 3))> |
#<alt (/ 1/6 y)> |
#<alt (/ (+ 1/6 (* 1/2 (/ 1 y))) y)> |
#<alt (/ (+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y)> |
#<alt (/ (+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y)> |
#<alt (/ 1/6 y)> |
#<alt (/ (+ 1/6 (* 1/2 (/ 1 y))) y)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6) y))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6) y))> |
#<alt (/ 1/2 (pow y 2))> |
#<alt (/ 1/2 (pow y 2))> |
#<alt (/ 1/2 (pow y 2))> |
#<alt (/ 1/2 (pow y 2))> |
#<alt (/ 1/2 (pow y 2))> |
#<alt (/ 1/2 (pow y 2))> |
#<alt (/ 1/2 (pow y 2))> |
#<alt (/ 1/2 (pow y 2))> |
#<alt (/ 1/2 (pow y 2))> |
#<alt (/ 1/2 (pow y 2))> |
#<alt (/ 1/2 (pow y 2))> |
#<alt (/ 1/2 (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 (* -1/3 z)> |
#<alt (* -1/3 z)> |
#<alt (* -1/3 z)> |
#<alt (* -1/3 z)> |
#<alt (* -1/3 z)> |
#<alt (* -1/3 z)> |
#<alt (* -1/3 z)> |
#<alt (* -1/3 z)> |
#<alt (* -1/3 z)> |
#<alt (* -1/3 z)> |
#<alt (* -1/3 z)> |
#<alt (* -1/3 z)> |
#<alt (* -1/3 (pow z 2))> |
#<alt (* -1/3 (pow z 2))> |
#<alt (* -1/3 (pow z 2))> |
#<alt (* -1/3 (pow z 2))> |
#<alt (* -1/3 (pow z 2))> |
#<alt (* -1/3 (pow z 2))> |
#<alt (* -1/3 (pow z 2))> |
#<alt (* -1/3 (pow z 2))> |
#<alt (* -1/3 (pow z 2))> |
#<alt (* -1/3 (pow z 2))> |
#<alt (* -1/3 (pow z 2))> |
#<alt (* -1/3 (pow z 2))> |
#<alt (/ 1/6 y)> |
#<alt (/ 1/6 y)> |
#<alt (/ 1/6 y)> |
#<alt (/ 1/6 y)> |
#<alt (/ 1/6 y)> |
#<alt (/ 1/6 y)> |
#<alt (/ 1/6 y)> |
#<alt (/ 1/6 y)> |
#<alt (/ 1/6 y)> |
#<alt (/ 1/6 y)> |
#<alt (/ 1/6 y)> |
#<alt (/ 1/6 y)> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (+ x (/ (/ (* z (* z (* z -1/3))) (* y y)) y)) |
| 2.0ms | y | @ | 0 | (* (+ (/ 1/2 (* y y)) (+ (/ 1/6 y) (/ 1/3 (* y (* y y))))) (- 0 (* z (* z z)))) |
| 1.0ms | z | @ | 0 | (* (+ (/ 1/2 (* y y)) (+ (/ 1/6 y) (/ 1/3 (* y (* y y))))) (- 0 (* z (* z z)))) |
| 1.0ms | y | @ | 0 | (+ x (/ (/ (* z (* z (* z -1/3))) (* y y)) y)) |
| 1.0ms | z | @ | inf | (+ x (/ (/ (* z (* z (* z -1/3))) (* y y)) y)) |
| 1× | batch-egg-rewrite |
| 3026× | *-lowering-*.f32 |
| 3026× | *-lowering-*.f64 |
| 2224× | /-lowering-/.f32 |
| 2224× | /-lowering-/.f64 |
| 2158× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 122 |
| 1 | 225 | 111 |
| 2 | 2780 | 110 |
| 0 | 8232 | 110 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* y x)) y) |
(+ 1 (* y x)) |
(* y x) |
(/ 1 y) |
(+ (/ 1 y) (- x (/ 1 (/ y z)))) |
(- x (/ 1 (/ y z))) |
(/ 1 (/ y z)) |
(+ x (/ (/ (* z (* z (* z -1/3))) (* y y)) y)) |
(/ (/ (* z (* z (* z -1/3))) (* y y)) y) |
(/ (* z (* z (* z -1/3))) (* y y)) |
(* z (* z (* z -1/3))) |
(* (+ (/ 1/2 (* y y)) (+ (/ 1/6 y) (/ 1/3 (* y (* y y))))) (- 0 (* z (* z z)))) |
(+ (/ 1/2 (* y y)) (+ (/ 1/6 y) (/ 1/3 (* y (* y y))))) |
(/ 1/2 (* y y)) |
(* y y) |
(* z -1/3) |
(* z (* z -1/3)) |
(/ 1/6 y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y x))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y x))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y x)))) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y x))) |
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+.f64 (*.f64 y x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal 1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 y x))) |
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(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 y y)) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 y y)) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1/2 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 y y)) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1/2 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 y y)) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) y) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) y)) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y)))) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))) (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1/4 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) |
(*.f64 y y) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 z #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) z) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 z z)) |
(*.f64 (*.f64 z #s(literal -1/3 binary64)) z) |
(*.f64 (*.f64 z z) #s(literal -1/3 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/6 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/6 binary64) y) |
(/.f64 #s(literal 1/6 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(literal 1/6 binary64)))) |
(/.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) |
| 1× | egg-herbie |
| 4620× | *-lowering-*.f32 |
| 4620× | *-lowering-*.f64 |
| 2674× | fma-lowering-fma.f32 |
| 2674× | fma-lowering-fma.f64 |
| 1954× | fmsub-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 2505 |
| 1 | 515 | 2341 |
| 2 | 1608 | 2255 |
| 3 | 5942 | 2252 |
| 0 | 8370 | 2252 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 y) |
(/ (+ 1 (* x y)) y) |
(/ (+ 1 (* x y)) y) |
(/ (+ 1 (* x y)) y) |
x |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
x |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(/ 1 y) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* x y) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* x y) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* x y) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x y) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ (- 1 z) y) |
(/ (- (+ 1 (* x y)) z) y) |
(/ (- (+ 1 (* x y)) z) y) |
(/ (- (+ 1 (* x y)) z) y) |
x |
(- (+ x (/ 1 y)) (/ z y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(- (+ x (/ 1 y)) (/ z y)) |
x |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(- (/ 1 y) (/ z y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(- (+ x (/ 1 y)) (/ z y)) |
x |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(* -1 (/ z y)) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(* -1 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(* -1 (/ z y)) |
(- x (/ z y)) |
(- x (/ z y)) |
(- x (/ z y)) |
x |
(* x (+ 1 (* -1 (/ z (* x y))))) |
(* x (+ 1 (* -1 (/ z (* x y))))) |
(* x (+ 1 (* -1 (/ z (* x y))))) |
x |
(* -1 (* x (- (/ z (* x y)) 1))) |
(* -1 (* x (- (/ z (* x y)) 1))) |
(* -1 (* x (- (/ z (* x y)) 1))) |
(* -1 (/ z y)) |
(/ (- (* x y) z) y) |
(/ (- (* x y) z) y) |
(/ (- (* x y) z) y) |
x |
(+ x (* -1 (/ z y))) |
(+ x (* -1 (/ z y))) |
(+ x (* -1 (/ z y))) |
x |
(+ x (* -1 (/ z y))) |
(+ x (* -1 (/ z y))) |
(+ x (* -1 (/ z y))) |
x |
(+ x (* -1 (/ z y))) |
(+ x (* -1 (/ z y))) |
(+ x (* -1 (/ z y))) |
(* -1 (/ z y)) |
(* z (- (/ x z) (/ 1 y))) |
(* z (- (/ x z) (/ 1 y))) |
(* z (- (/ x z) (/ 1 y))) |
(* -1 (/ z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y)))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(+ x (* -1/3 (/ (pow z 3) (pow y 3)))) |
(+ x (* -1/3 (/ (pow z 3) (pow y 3)))) |
(+ x (* -1/3 (/ (pow z 3) (pow y 3)))) |
x |
(* x (+ 1 (* -1/3 (/ (pow z 3) (* x (pow y 3)))))) |
(* x (+ 1 (* -1/3 (/ (pow z 3) (* x (pow y 3)))))) |
(* x (+ 1 (* -1/3 (/ (pow z 3) (* x (pow y 3)))))) |
x |
(* -1 (* x (- (* 1/3 (/ (pow z 3) (* x (pow y 3)))) 1))) |
(* -1 (* x (- (* 1/3 (/ (pow z 3) (* x (pow y 3)))) 1))) |
(* -1 (* x (- (* 1/3 (/ (pow z 3) (* x (pow y 3)))) 1))) |
x |
(+ x (* -1/3 (/ (pow z 3) (pow y 3)))) |
(+ x (* -1/3 (/ (pow z 3) (pow y 3)))) |
(+ x (* -1/3 (/ (pow z 3) (pow y 3)))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* (pow z 3) (- (/ x (pow z 3)) (* 1/3 (/ 1 (pow y 3))))) |
(* (pow z 3) (- (/ x (pow z 3)) (* 1/3 (/ 1 (pow y 3))))) |
(* (pow z 3) (- (/ x (pow z 3)) (* 1/3 (/ 1 (pow y 3))))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1 (* (pow z 3) (+ (* -1 (/ x (pow z 3))) (* 1/3 (/ 1 (pow y 3)))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ x (pow z 3))) (* 1/3 (/ 1 (pow y 3)))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ x (pow z 3))) (* 1/3 (/ 1 (pow y 3)))))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(/ (+ (* -1/3 (pow z 3)) (* x (pow y 3))) (pow y 3)) |
(/ (+ (* -1/3 (pow z 3)) (* x (pow y 3))) (pow y 3)) |
(/ (+ (* -1/3 (pow z 3)) (* x (pow y 3))) (pow y 3)) |
x |
(+ x (* -1/3 (/ (pow z 3) (pow y 3)))) |
(+ x (* -1/3 (/ (pow z 3) (pow y 3)))) |
(+ x (* -1/3 (/ (pow z 3) (pow y 3)))) |
x |
(+ x (* -1/3 (/ (pow z 3) (pow y 3)))) |
(+ x (* -1/3 (/ (pow z 3) (pow y 3)))) |
(+ x (* -1/3 (/ (pow z 3) (pow y 3)))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(* -1/3 (pow z 3)) |
(* -1/3 (pow z 3)) |
(* -1/3 (pow z 3)) |
(* -1/3 (pow z 3)) |
(* -1/3 (pow z 3)) |
(* -1/3 (pow z 3)) |
(* -1/3 (pow z 3)) |
(* -1/3 (pow z 3)) |
(* -1/3 (pow z 3)) |
(* -1/3 (pow z 3)) |
(* -1/3 (pow z 3)) |
(* -1/3 (pow z 3)) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(/ (+ (* -1/2 (* y (pow z 3))) (* -1/3 (pow z 3))) (pow y 3)) |
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* -1/2 (pow z 3)) (* -1/6 (* y (pow z 3)))))) (pow y 3)) |
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* -1/2 (pow z 3)) (* -1/6 (* y (pow z 3)))))) (pow y 3)) |
(* -1/6 (/ (pow z 3) y)) |
(/ (+ (* -1/2 (/ (pow z 3) y)) (* -1/6 (pow z 3))) y) |
(/ (+ (* -1/2 (/ (pow z 3) y)) (+ (* -1/3 (/ (pow z 3) (pow y 2))) (* -1/6 (pow z 3)))) y) |
(/ (+ (* -1/2 (/ (pow z 3) y)) (+ (* -1/3 (/ (pow z 3) (pow y 2))) (* -1/6 (pow z 3)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(* -1 (/ (+ (* 1/6 (pow z 3)) (* 1/2 (/ (pow z 3) y))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow z 3)) (* -1/3 (/ (pow z 3) y))) y)) (* 1/6 (pow z 3))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow z 3)) (* -1/3 (/ (pow z 3) y))) y)) (* 1/6 (pow z 3))) y)) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(/ 1/3 (pow y 3)) |
(/ (+ 1/3 (* 1/2 y)) (pow y 3)) |
(/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 3)) |
(/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 3)) |
(/ 1/6 y) |
(/ (+ 1/6 (* 1/2 (/ 1 y))) y) |
(/ (+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y) |
(/ (+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y) |
(/ 1/6 y) |
(/ (+ 1/6 (* 1/2 (/ 1 y))) y) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6) y)) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6) y)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (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) |
(pow y 2) |
(* -1/3 z) |
(* -1/3 z) |
(* -1/3 z) |
(* -1/3 z) |
(* -1/3 z) |
(* -1/3 z) |
(* -1/3 z) |
(* -1/3 z) |
(* -1/3 z) |
(* -1/3 z) |
(* -1/3 z) |
(* -1/3 z) |
(* -1/3 (pow z 2)) |
(* -1/3 (pow z 2)) |
(* -1/3 (pow z 2)) |
(* -1/3 (pow z 2)) |
(* -1/3 (pow z 2)) |
(* -1/3 (pow z 2)) |
(* -1/3 (pow z 2)) |
(* -1/3 (pow z 2)) |
(* -1/3 (pow z 2)) |
(* -1/3 (pow z 2)) |
(* -1/3 (pow z 2)) |
(* -1/3 (pow z 2)) |
(/ 1/6 y) |
(/ 1/6 y) |
(/ 1/6 y) |
(/ 1/6 y) |
(/ 1/6 y) |
(/ 1/6 y) |
(/ 1/6 y) |
(/ 1/6 y) |
(/ 1/6 y) |
(/ 1/6 y) |
(/ 1/6 y) |
(/ 1/6 y) |
| Outputs |
|---|
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* x y)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ (+ 1 (* x y)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ (+ 1 (* x y)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
x |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
x |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* x y)) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* x y)) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* x y)) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* x y)) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ y (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ y (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- (+ 1 (* x y)) z) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(/ (- (+ 1 (* x y)) z) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(/ (- (+ 1 (* x y)) z) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (/ 1 y) (/ z y)) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* -1 (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y)))) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y)))) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z) z) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z) z) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z) z) (/.f64 z y)) |
(* -1 (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(- x (/ z y)) |
(-.f64 x (/.f64 z y)) |
(- x (/ z y)) |
(-.f64 x (/.f64 z y)) |
(- x (/ z y)) |
(-.f64 x (/.f64 z y)) |
x |
(* x (+ 1 (* -1 (/ z (* x y))))) |
(-.f64 x (/.f64 z y)) |
(* x (+ 1 (* -1 (/ z (* x y))))) |
(-.f64 x (/.f64 z y)) |
(* x (+ 1 (* -1 (/ z (* x y))))) |
(-.f64 x (/.f64 z y)) |
x |
(* -1 (* x (- (/ z (* x y)) 1))) |
(-.f64 x (/.f64 z y)) |
(* -1 (* x (- (/ z (* x y)) 1))) |
(-.f64 x (/.f64 z y)) |
(* -1 (* x (- (/ z (* x y)) 1))) |
(-.f64 x (/.f64 z y)) |
(* -1 (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(/ (- (* x y) z) y) |
(-.f64 x (/.f64 z y)) |
(/ (- (* x y) z) y) |
(-.f64 x (/.f64 z y)) |
(/ (- (* x y) z) y) |
(-.f64 x (/.f64 z y)) |
x |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
x |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
x |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(* -1 (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(* z (- (/ x z) (/ 1 y))) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))) |
(* z (- (/ x z) (/ 1 y))) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))) |
(* z (- (/ x z) (/ 1 y))) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (/ z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
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(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))))) |
(* -1 (* (pow z 3) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))))) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))))) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))))) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))))) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) y))))) |
(/ 1/3 (pow y 3)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y y)) |
(/ (+ 1/3 (* 1/2 y)) (pow y 3)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (*.f64 y y))) |
(/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 3)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y y))) |
(/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 3)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y y))) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ (+ 1/6 (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/ (+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y) |
(/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) y) |
(/ (+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y) |
(/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) y) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ (+ 1/6 (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) y)) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* -1/3 z) |
(*.f64 z #s(literal -1/3 binary64)) |
(* -1/3 z) |
(*.f64 z #s(literal -1/3 binary64)) |
(* -1/3 z) |
(*.f64 z #s(literal -1/3 binary64)) |
(* -1/3 z) |
(*.f64 z #s(literal -1/3 binary64)) |
(* -1/3 z) |
(*.f64 z #s(literal -1/3 binary64)) |
(* -1/3 z) |
(*.f64 z #s(literal -1/3 binary64)) |
(* -1/3 z) |
(*.f64 z #s(literal -1/3 binary64)) |
(* -1/3 z) |
(*.f64 z #s(literal -1/3 binary64)) |
(* -1/3 z) |
(*.f64 z #s(literal -1/3 binary64)) |
(* -1/3 z) |
(*.f64 z #s(literal -1/3 binary64)) |
(* -1/3 z) |
(*.f64 z #s(literal -1/3 binary64)) |
(* -1/3 z) |
(*.f64 z #s(literal -1/3 binary64)) |
(* -1/3 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(* -1/3 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(* -1/3 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(* -1/3 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(* -1/3 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(* -1/3 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(* -1/3 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(* -1/3 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(* -1/3 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(* -1/3 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(* -1/3 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(* -1/3 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal -1/3 binary64))) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
Compiled 17838 to 1431 computations (92% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 837 | 8 | 845 |
| Fresh | 5 | 10 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 847 | 21 | 868 |
| Status | Accuracy | Program |
|---|---|---|
| 42.4% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) | |
| 60.4% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))) y) | |
| ▶ | 54.4% | (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
| 32.2% | (/.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| 4.8% | (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 y (*.f64 z z))) (+.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (*.f64 y (*.f64 y y))) | |
| 9.4% | (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) y) | |
| ▶ | 41.0% | (/.f64 (*.f64 y x) y) |
| 41.9% | (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) | |
| ✓ | 42.3% | (/.f64 #s(literal 1 binary64) y) |
| 67.8% | (-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z) z) (/.f64 z y)) | |
| 57.0% | (+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 x (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))) (*.f64 y x)))) | |
| 71.4% | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) | |
| 43.9% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))) (*.f64 y y))))) y)) | |
| ▶ | 73.6% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y)) |
| ▶ | 46.2% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (*.f64 y y)))))))) y)) |
| 72.8% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64))))) y)) | |
| ✓ | 86.5% | (+.f64 x (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 9.8% | (*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
| 9.3% | (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) | |
| 8.8% | (*.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y)) | |
| ✓ | 49.9% | x |
Compiled 736 to 482 computations (34.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (*.f64 y y))))))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (*.f64 y y)))))))) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (*.f64 y y)))))))) y) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (*.f64 y y)))))))) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) y) y) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 z z)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/6 binary64) y) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 y x) y) |
| ✓ | cost-diff | 0 | (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y)) |
| 3060× | fma-lowering-fma.f32 |
| 3060× | fma-lowering-fma.f64 |
| 2282× | *-lowering-*.f32 |
| 2282× | *-lowering-*.f64 |
| 1882× | fma-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 426 |
| 1 | 128 | 394 |
| 2 | 351 | 376 |
| 3 | 881 | 364 |
| 4 | 2434 | 356 |
| 5 | 7747 | 356 |
| 0 | 8412 | 356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6)))))) y)) |
x |
(/ (+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6)))))) y) |
(+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6)))))) |
1 |
(* z (+ -1 (* z (- 1/2 (* z 1/6))))) |
z |
(+ -1 (* z (- 1/2 (* z 1/6)))) |
-1 |
(* z (- 1/2 (* z 1/6))) |
(- 1/2 (* z 1/6)) |
1/2 |
(* z 1/6) |
1/6 |
y |
(/ (* y x) y) |
(* y x) |
y |
x |
(* (/ 1/6 y) (- 0 (* z (* z z)))) |
(/ 1/6 y) |
1/6 |
y |
(- 0 (* z (* z z))) |
0 |
(* z (* z z)) |
z |
(* z z) |
(/ (- (/ (/ 1 y) y) (* x x)) (- (/ 1 y) x)) |
(- (/ (/ 1 y) y) (* x x)) |
(/ (/ 1 y) y) |
(/ 1 y) |
1 |
y |
(* x x) |
x |
(- (/ 1 y) x) |
(+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))) y)) |
x |
(/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))) y) |
(+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))) |
1 |
(* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y))))))) |
z |
(+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))) |
-1 |
(* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y))))) |
(+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))) |
1/2 |
(- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y))) |
(/ 1/2 y) |
y |
(/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)) |
(+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) |
(* z 1/3) |
1/3 |
(* y (* z (+ 1/2 (* y 1/6)))) |
(* z (+ 1/2 (* y 1/6))) |
(+ 1/2 (* y 1/6)) |
(* y 1/6) |
1/6 |
(* y y) |
| Outputs |
|---|
(+ x (/ (+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6)))))) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)) |
x |
(/ (+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6)))))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) |
(+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* z (+ -1 (* z (- 1/2 (* z 1/6))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) |
z |
(+ -1 (* z (- 1/2 (* z 1/6)))) |
(+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))) |
-1 |
#s(literal -1 binary64) |
(* z (- 1/2 (* z 1/6))) |
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))) |
(- 1/2 (* z 1/6)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* z 1/6) |
(*.f64 z #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
y |
(/ (* y x) y) |
x |
(* y x) |
(*.f64 x y) |
y |
x |
(* (/ 1/6 y) (- 0 (* z (* z z)))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z (*.f64 z z)) y)) |
(/ 1/6 y) |
(/.f64 #s(literal 1/6 binary64) y) |
1/6 |
#s(literal 1/6 binary64) |
y |
(- 0 (* z (* z z))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) |
0 |
#s(literal 0 binary64) |
(* z (* z z)) |
(*.f64 z (*.f64 z z)) |
z |
(* z z) |
(*.f64 z z) |
(/ (- (/ (/ 1 y) y) (* x x)) (- (/ 1 y) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(- (/ (/ 1 y) y) (* x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(/ (/ 1 y) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(* x x) |
(*.f64 x x) |
x |
(- (/ 1 y) x) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 #s(literal -1/3 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))) (*.f64 y y)))))))) y)) |
x |
(/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 #s(literal -1/3 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))) (*.f64 y y)))))))) y) |
(+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 #s(literal -1/3 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))) (*.f64 y y)))))))) |
1 |
#s(literal 1 binary64) |
(* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y))))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 #s(literal -1/3 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))) (*.f64 y y))))))) |
z |
(+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))) |
(+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 #s(literal -1/3 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))) (*.f64 y y)))))) |
-1 |
#s(literal -1 binary64) |
(* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y))))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 #s(literal -1/3 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))) (*.f64 y y))))) |
(+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 #s(literal -1/3 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))) (*.f64 y y)))) |
1/2 |
#s(literal 1/2 binary64) |
(- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z (-.f64 #s(literal -1/3 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))) (*.f64 y y))) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
y |
(/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)) |
(/.f64 (*.f64 z (+.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))) (*.f64 y y)) |
(+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) |
(*.f64 z (+.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))) |
(* z 1/3) |
(*.f64 z #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(* y (* z (+ 1/2 (* y 1/6)))) |
(*.f64 z (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))) |
(* z (+ 1/2 (* y 1/6))) |
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) |
(+ 1/2 (* y 1/6)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) |
(* y 1/6) |
(*.f64 #s(literal 1/6 binary64) y) |
1/6 |
#s(literal 1/6 binary64) |
(* y y) |
(*.f64 y y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 z #s(literal 1/3 binary64)) |
| ✓ | accuracy | 97.9% | (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (*.f64 y y))))) |
| ✓ | accuracy | 96.3% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (*.f64 y y)))))))) y) |
| ✓ | accuracy | 61.5% | (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (*.f64 y y)) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) y) x) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) y) |
| ✓ | accuracy | 95.9% | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) |
| ✓ | accuracy | 62.1% | (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 99.8% | (*.f64 z (*.f64 z z)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/6 binary64) y) |
| ✓ | accuracy | 93.7% | (*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 75.7% | (/.f64 (*.f64 y x) y) |
| ✓ | accuracy | 99.9% | (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 z #s(literal 1/6 binary64)) |
| ✓ | accuracy | 96.3% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y) |
| 168.0ms | 256× | 0 | valid |
Compiled 472 to 48 computations (89.8% saved)
ival-mult: 27.0ms (32.4% of total)ival-div: 24.0ms (28.8% of total)ival-add: 11.0ms (13.2% of total)...c/correct-round.rkt:119:19: 11.0ms (13.2% of total)ival-sub: 9.0ms (10.8% of total)const: 1.0ms (1.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ (+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6)))))) y))> |
#<alt (/ (+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6)))))) y)> |
#<alt (+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6))))))> |
#<alt (* z (+ -1 (* z (- 1/2 (* z 1/6)))))> |
#<alt (/ (* y x) y)> |
#<alt (* y x)> |
#<alt (* (/ 1/6 y) (- 0 (* z (* z z))))> |
#<alt (/ 1/6 y)> |
#<alt (- 0 (* z (* z z)))> |
#<alt (* z (* z z))> |
#<alt (/ (- (/ (/ 1 y) y) (* x x)) (- (/ 1 y) x))> |
#<alt (- (/ (/ 1 y) y) (* x x))> |
#<alt (/ (/ 1 y) y)> |
#<alt (/ 1 y)> |
#<alt (+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))) y))> |
#<alt (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))) y)> |
#<alt (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y))))))))> |
#<alt (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))> |
#<alt (* z 1/6)> |
#<alt (* z (- 1/2 (* z 1/6)))> |
#<alt (* z z)> |
#<alt (- (/ 1 y) x)> |
#<alt (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y))> |
#<alt (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))> |
#<alt (* z 1/3)> |
| Outputs |
|---|
#<alt (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)))> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)))> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (* x y)))))> |
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (* x y)))))> |
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (* x y)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)) x)) 1)))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))> |
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))> |
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))> |
#<alt (* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))> |
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (+ (* x y) (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) y)> |
#<alt (/ (+ 1 (+ (* x y) (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) y)> |
#<alt (/ (+ 1 (+ (* x y) (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) y)> |
#<alt x> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)))> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)))> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)))> |
#<alt x> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)))> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)))> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ z y)) (/ 1 y))> |
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))> |
#<alt (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))> |
#<alt (* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))> |
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (/ 1 (* y (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt (/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y)> |
#<alt 1> |
#<alt (+ 1 (* -1 z))> |
#<alt (+ 1 (* z (- (* 1/2 z) 1)))> |
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))> |
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))> |
#<alt (* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))> |
#<alt (* -1 z)> |
#<alt (* z (- (* 1/2 z) 1))> |
#<alt (* z (- (* z (+ 1/2 (* -1/6 z))) 1))> |
#<alt (* z (- (* z (+ 1/2 (* -1/6 z))) 1))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))> |
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))> |
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))> |
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
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#<alt (* -1 (* (pow z 3) (- (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (* 1/3 (/ 1 (pow y 2)))) (* -1 (/ (+ 1/2 (* 1/6 y)) y)))))> |
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#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/2 z)> |
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#<alt (* z (+ 1/2 (* -1/6 z)))> |
#<alt (* z (+ 1/2 (* -1/6 z)))> |
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#<alt (* -1/6 (pow z 2))> |
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#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))> |
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* -1 (* x y))) y)> |
#<alt (/ (+ 1 (* -1 (* x y))) y)> |
#<alt (/ (+ 1 (* -1 (* x y))) y)> |
#<alt (* -1 x)> |
#<alt (- (/ 1 y) x)> |
#<alt (- (/ 1 y) x)> |
#<alt (- (/ 1 y) x)> |
#<alt (* -1 x)> |
#<alt (- (/ 1 y) x)> |
#<alt (- (/ 1 y) x)> |
#<alt (- (/ 1 y) x)> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 x) (/ 1 y))> |
#<alt (+ (* -1 x) (/ 1 y))> |
#<alt (+ (* -1 x) (/ 1 y))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 (* x y)) 1))> |
#<alt (* x (- (/ 1 (* x y)) 1))> |
#<alt (* x (- (/ 1 (* x y)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))> |
#<alt (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))> |
#<alt (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))> |
#<alt (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))> |
#<alt (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))> |
#<alt (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))> |
#<alt (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))> |
#<alt (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))> |
#<alt (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))> |
#<alt (* -1 (/ (* z (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1/3)) (pow y 2)))> |
#<alt (* -1 (/ (* z (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1/3)) (pow y 2)))> |
#<alt (* -1 (/ (* z (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1/3)) (pow y 2)))> |
#<alt (* -1 (/ (* z (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1/3)) (pow y 2)))> |
#<alt (* 1/3 (/ z (pow y 2)))> |
#<alt (/ (+ (* 1/3 z) (* 1/2 (* y z))) (pow y 2))> |
#<alt (/ (+ (* 1/3 z) (* y (+ (* 1/6 (* y z)) (* 1/2 z)))) (pow y 2))> |
#<alt (/ (+ (* 1/3 z) (* y (+ (* 1/6 (* y z)) (* 1/2 z)))) (pow y 2))> |
#<alt (* 1/6 z)> |
#<alt (+ (* 1/6 z) (* 1/2 (/ z y)))> |
#<alt (+ (* 1/6 z) (+ (* 1/3 (/ z (pow y 2))) (* 1/2 (/ z y))))> |
#<alt (+ (* 1/6 z) (+ (* 1/3 (/ z (pow y 2))) (* 1/2 (/ z y))))> |
#<alt (* 1/6 z)> |
#<alt (+ (* 1/6 z) (* 1/2 (/ z y)))> |
#<alt (+ (* -1 (/ (+ (* -1/2 z) (* -1/3 (/ z y))) y)) (* 1/6 z))> |
#<alt (+ (* -1 (/ (+ (* -1/2 z) (* -1/3 (/ z y))) y)) (* 1/6 z))> |
#<alt (* z (+ 1/2 (* 1/2 (/ 1 y))))> |
#<alt (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))))> |
#<alt (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))> |
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* -1 (* (pow z 2) (- (* 1/3 (/ 1 (pow y 2))) (* -1 (/ (+ 1/2 (* 1/6 y)) y)))))> |
#<alt (* (pow z 2) (+ (* -1 (- (* 1/3 (/ 1 (pow y 2))) (* -1 (/ (+ 1/2 (* 1/6 y)) y)))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* (pow z 2) (+ (* -1 (- (* 1/3 (/ 1 (pow y 2))) (* -1 (/ (+ 1/2 (* 1/6 y)) y)))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* (pow z 2) (+ (* -1 (- (* 1/3 (/ 1 (pow y 2))) (* -1 (/ (+ 1/2 (* 1/6 y)) y)))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))> |
#<alt (* -1/3 (/ (pow z 2) (pow y 2)))> |
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (* z (- 1/2 (* 1/2 z))))) (pow y 2))> |
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (- 1/2 (* 1/6 z)))) (* z (- 1/2 (* 1/2 z)))))) (pow y 2))> |
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (- 1/2 (* 1/6 z)))) (* z (- 1/2 (* 1/2 z)))))) (pow y 2))> |
#<alt (* z (- 1/2 (* 1/6 z)))> |
#<alt (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y))> |
#<alt (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y)))> |
#<alt (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y)))> |
#<alt (* z (- 1/2 (* 1/6 z)))> |
#<alt (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))> |
#<alt (+ (* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) y))) y)) (* z (- 1/2 (* 1/6 z))))> |
#<alt (+ (* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) y))) y)) (* z (- 1/2 (* 1/6 z))))> |
#<alt (* 1/3 z)> |
#<alt (* 1/3 z)> |
#<alt (* 1/3 z)> |
#<alt (* 1/3 z)> |
#<alt (* 1/3 z)> |
#<alt (* 1/3 z)> |
#<alt (* 1/3 z)> |
#<alt (* 1/3 z)> |
#<alt (* 1/3 z)> |
#<alt (* 1/3 z)> |
#<alt (* 1/3 z)> |
#<alt (* 1/3 z)> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | 0 | (+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))) y)) |
| 13.0ms | z | @ | -inf | (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y))))) |
| 1.0ms | z | @ | 0 | (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)) |
| 1.0ms | z | @ | inf | (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)) |
| 1.0ms | x | @ | 0 | (+ x (/ (+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6)))))) y)) |
| 1× | batch-egg-rewrite |
| 3696× | fma-lowering-fma.f32 |
| 3696× | fma-lowering-fma.f64 |
| 2366× | *-lowering-*.f32 |
| 2366× | *-lowering-*.f64 |
| 2258× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 284 |
| 1 | 346 | 249 |
| 2 | 3774 | 244 |
| 0 | 8314 | 244 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6)))))) y)) |
(/ (+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6)))))) y) |
(+ 1 (* z (+ -1 (* z (- 1/2 (* z 1/6)))))) |
(* z (+ -1 (* z (- 1/2 (* z 1/6))))) |
(/ (* y x) y) |
(* y x) |
(* (/ 1/6 y) (- 0 (* z (* z z)))) |
(/ 1/6 y) |
(- 0 (* z (* z z))) |
(* z (* z z)) |
(/ (- (/ (/ 1 y) y) (* x x)) (- (/ 1 y) x)) |
(- (/ (/ 1 y) y) (* x x)) |
(/ (/ 1 y) y) |
(/ 1 y) |
(+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))) y)) |
(/ (+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))) y) |
(+ 1 (* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)))))))) |
(* z (+ -1 (* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y))))))) |
(* z 1/6) |
(* z (- 1/2 (* z 1/6))) |
(* z z) |
(- (/ 1 y) x) |
(/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y)) |
(* z (+ 1/2 (- (/ 1/2 y) (/ (+ (* z 1/3) (* y (* z (+ 1/2 (* y 1/6))))) (* y y))))) |
(* z 1/3) |
| Outputs |
|---|
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))) (-.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) x) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) x) |
(fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)) (-.f64 (*.f64 x x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) x)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))))) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))) (-.f64 (*.f64 x x) (/.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))))) (-.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))))))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))))) (neg.f64 (-.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) x)) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) x))))) |
(*.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))) |
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/27 binary64)) (*.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 (*.f64 (*.f64 z z) #s(literal 1/9 binary64)) (*.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)) (-.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)) (*.f64 z #s(literal 1/3 binary64))))) y)) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/27 binary64)) (*.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 (*.f64 (*.f64 z z) #s(literal 1/9 binary64)) (*.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)) (-.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)) (*.f64 z #s(literal 1/3 binary64))))) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z z) #s(literal 1/9 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z z) #s(literal 1/9 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z z) #s(literal 1/9 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/27 binary64)) (*.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (*.f64 (*.f64 z z) #s(literal 1/9 binary64)) (*.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)) (-.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)) (*.f64 z #s(literal 1/3 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z z) #s(literal 1/9 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(pow.f64 (/.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y))) |
(+.f64 (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)) (*.f64 z #s(literal 1/2 binary64))) |
(fma.f64 z #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y))) |
(fma.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y) (*.f64 z #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) z (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y) z (*.f64 z #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)) (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/2 binary64))) (*.f64 (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)) (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)))) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)))) |
(/.f64 (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 z (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)))) z) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y))) z) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y))) |
(*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)) z) |
(*.f64 z #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) z) |
| 1× | egg-herbie |
| 3770× | *-lowering-*.f32 |
| 3770× | *-lowering-*.f64 |
| 3012× | +-lowering-+.f64 |
| 3012× | +-lowering-+.f32 |
| 1958× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 487 | 5836 |
| 1 | 1617 | 5134 |
| 2 | 6124 | 5096 |
| 0 | 8040 | 5096 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
x |
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (* x y))))) |
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (* x y))))) |
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (* x y))))) |
x |
(* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)) x)) 1))) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))) |
(* -1/6 (/ (pow z 3) y)) |
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))) |
(* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2)))))) |
(* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2)))))) |
(* -1/6 (/ (pow z 3) y)) |
(* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z)))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/ (+ 1 (+ (* x y) (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) y) |
(/ (+ 1 (+ (* x y) (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) y) |
(/ (+ 1 (+ (* x y) (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) y) |
x |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
x |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)) |
(* -1/6 (/ (pow z 3) y)) |
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))) |
(* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2)))))) |
(* (pow z 3) (- (+ (/ 1/2 (* y z)) (/ 1 (* y (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2)))))) |
(* -1/6 (/ (pow z 3) y)) |
(* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z)))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
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(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (* z (- (* z (- 1/2 (* 1/6 z))) 1))) (* (pow z 2) (- 1/2 (* 1/2 z)))))) (pow y 2)) |
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(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) |
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) |
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) |
(* -1/6 (pow z 2)) |
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) |
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) |
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ 1 y) |
(/ (+ 1 (* -1 (* x y))) y) |
(/ (+ 1 (* -1 (* x y))) y) |
(/ (+ 1 (* -1 (* x y))) y) |
(* -1 x) |
(- (/ 1 y) x) |
(- (/ 1 y) x) |
(- (/ 1 y) x) |
(* -1 x) |
(- (/ 1 y) x) |
(- (/ 1 y) x) |
(- (/ 1 y) x) |
(/ 1 y) |
(+ (* -1 x) (/ 1 y)) |
(+ (* -1 x) (/ 1 y)) |
(+ (* -1 x) (/ 1 y)) |
(* -1 x) |
(* x (- (/ 1 (* x y)) 1)) |
(* x (- (/ 1 (* x y)) 1)) |
(* x (- (/ 1 (* x y)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 (* x y))))) |
(* -1 (* x (- 1 (/ 1 (* x y))))) |
(* -1 (* x (- 1 (/ 1 (* x y))))) |
(/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2)) |
(/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2)) |
(/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2)) |
(/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2)) |
(/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2)) |
(/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2)) |
(/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2)) |
(/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2)) |
(* -1 (/ (* z (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1/3)) (pow y 2))) |
(* -1 (/ (* z (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1/3)) (pow y 2))) |
(* -1 (/ (* z (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1/3)) (pow y 2))) |
(* -1 (/ (* z (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1/3)) (pow y 2))) |
(* 1/3 (/ z (pow y 2))) |
(/ (+ (* 1/3 z) (* 1/2 (* y z))) (pow y 2)) |
(/ (+ (* 1/3 z) (* y (+ (* 1/6 (* y z)) (* 1/2 z)))) (pow y 2)) |
(/ (+ (* 1/3 z) (* y (+ (* 1/6 (* y z)) (* 1/2 z)))) (pow y 2)) |
(* 1/6 z) |
(+ (* 1/6 z) (* 1/2 (/ z y))) |
(+ (* 1/6 z) (+ (* 1/3 (/ z (pow y 2))) (* 1/2 (/ z y)))) |
(+ (* 1/6 z) (+ (* 1/3 (/ z (pow y 2))) (* 1/2 (/ z y)))) |
(* 1/6 z) |
(+ (* 1/6 z) (* 1/2 (/ z y))) |
(+ (* -1 (/ (+ (* -1/2 z) (* -1/3 (/ z y))) y)) (* 1/6 z)) |
(+ (* -1 (/ (+ (* -1/2 z) (* -1/3 (/ z y))) y)) (* 1/6 z)) |
(* z (+ 1/2 (* 1/2 (/ 1 y)))) |
(* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) |
(* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) |
(* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* -1 (* (pow z 2) (- (* 1/3 (/ 1 (pow y 2))) (* -1 (/ (+ 1/2 (* 1/6 y)) y))))) |
(* (pow z 2) (+ (* -1 (- (* 1/3 (/ 1 (pow y 2))) (* -1 (/ (+ 1/2 (* 1/6 y)) y)))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 2) (+ (* -1 (- (* 1/3 (/ 1 (pow y 2))) (* -1 (/ (+ 1/2 (* 1/6 y)) y)))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 2) (+ (* -1 (- (* 1/3 (/ 1 (pow y 2))) (* -1 (/ (+ 1/2 (* 1/6 y)) y)))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* -1/3 (/ (pow z 2) (pow y 2))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (- 1/2 (* 1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (- 1/2 (* 1/6 z)))) (* z (- 1/2 (* 1/2 z)))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (- 1/2 (* 1/6 z)))) (* z (- 1/2 (* 1/2 z)))))) (pow y 2)) |
(* z (- 1/2 (* 1/6 z))) |
(+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y)) |
(+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y))) |
(+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y))) |
(* z (- 1/2 (* 1/6 z))) |
(+ (* z (- 1/2 (* 1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) |
(+ (* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) y))) y)) (* z (- 1/2 (* 1/6 z)))) |
(+ (* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) y))) y)) (* z (- 1/2 (* 1/6 z)))) |
(* 1/3 z) |
(* 1/3 z) |
(* 1/3 z) |
(* 1/3 z) |
(* 1/3 z) |
(* 1/3 z) |
(* 1/3 z) |
(* 1/3 z) |
(* 1/3 z) |
(* 1/3 z) |
(* 1/3 z) |
(* 1/3 z) |
| Outputs |
|---|
(+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y))) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+.f64 (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+.f64 (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+.f64 (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
x |
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (* x y))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z (*.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) |
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (* x y))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z (*.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) |
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) (* x y))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z (*.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) |
x |
(* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)) x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y))) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)) x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y))) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y)) x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y))) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) x)) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)))) |
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (/.f64 #s(literal -1/6 binary64) y)) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 #s(literal -1 binary64) y))))) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y) |
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))) |
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y z)) (/.f64 #s(literal -1/6 binary64) y))) |
(* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2)))))) |
(*.f64 (*.f64 z (*.f64 z z)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) (/.f64 #s(literal 1/6 binary64) y))) |
(* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2)))))) |
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z z)))) (/.f64 x (*.f64 z (*.f64 z z)))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) (/.f64 #s(literal 1/6 binary64) y)))) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y) |
(* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z)))))) |
(*.f64 (*.f64 z (*.f64 z z)) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y z))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))) |
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) z)) z)))) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) |
(/ (+ 1 (+ (* x y) (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) y) |
(/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y x))) y) |
(/ (+ 1 (+ (* x y) (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) y) |
(/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y x))) y) |
(/ (+ 1 (+ (* x y) (* z (- (* z (- 1/2 (* 1/6 z))) 1)))) y) |
(/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y x))) y) |
x |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+.f64 (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+.f64 (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+.f64 (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
x |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+.f64 (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+.f64 (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (/ 1 y) (/ (* z (- (* z (- 1/2 (* 1/6 z))) 1)) y))) |
(+.f64 (*.f64 (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)))) |
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (/.f64 #s(literal -1/6 binary64) y)) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 #s(literal -1 binary64) y)))) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y) |
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))) |
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y z)) (/.f64 #s(literal -1/6 binary64) y))) |
(* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2)))))) |
(*.f64 (*.f64 z (*.f64 z z)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) (/.f64 #s(literal 1/6 binary64) y))) |
(* (pow z 3) (- (+ (/ 1/2 (* y z)) (/ 1 (* y (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2)))))) |
(*.f64 z (*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) (/.f64 #s(literal 1/6 binary64) y))))) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y) |
(* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z)))))) |
(*.f64 (*.f64 z (*.f64 z z)) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y z))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z)) z)))) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) |
(/ (+ 1 (* z (- (* z (- 1/2 (* 1/6 z))) 1))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) |
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(* -1 (* (pow z 2) (- (* 1/3 (/ 1 (pow y 2))) (* -1 (/ (+ 1/2 (* 1/6 y)) y))))) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))) y)))) |
(* (pow z 2) (+ (* -1 (- (* 1/3 (/ 1 (pow y 2))) (* -1 (/ (+ 1/2 (* 1/6 y)) y)))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(*.f64 (*.f64 z z) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y z)) (/.f64 #s(literal 1/2 binary64) z)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))) y)))) |
(* (pow z 2) (+ (* -1 (- (* 1/3 (/ 1 (pow y 2))) (* -1 (/ (+ 1/2 (* 1/6 y)) y)))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(*.f64 (*.f64 z z) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y z)) (/.f64 #s(literal 1/2 binary64) z)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))) y)))) |
(* (pow z 2) (+ (* -1 (- (* 1/3 (/ 1 (pow y 2))) (* -1 (/ (+ 1/2 (* 1/6 y)) y)))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(*.f64 (*.f64 z z) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y z)) (/.f64 #s(literal 1/2 binary64) z)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))) y)))) |
(* -1/3 (/ (pow z 2) (pow y 2))) |
(/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 y y)) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (- 1/2 (* 1/2 z))))) (pow y 2)) |
(/.f64 (+.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 y (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/2 binary64)))))) (*.f64 y y)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (- 1/2 (* 1/6 z)))) (* z (- 1/2 (* 1/2 z)))))) (pow y 2)) |
(/.f64 (+.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 y (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 z (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))) (*.f64 y y)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (- 1/2 (* 1/6 z)))) (* z (- 1/2 (* 1/2 z)))))) (pow y 2)) |
(/.f64 (+.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 y (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 z (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))) (*.f64 y y)) |
(* z (- 1/2 (* 1/6 z))) |
(*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) |
(+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y)) |
(*.f64 z (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/2 binary64))) y))) |
(+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y))) |
(+.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 y y)) (*.f64 z (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/2 binary64))) y)))) |
(+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (- 1/2 (* 1/6 z))) (/ (* z (- 1/2 (* 1/2 z))) y))) |
(+.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 y y)) (*.f64 z (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/2 binary64))) y)))) |
(* z (- 1/2 (* 1/6 z))) |
(*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) |
(+ (* z (- 1/2 (* 1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) |
(*.f64 z (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/2 binary64))) y))) |
(+ (* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) y))) y)) (* z (- 1/2 (* 1/6 z)))) |
(-.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/2 binary64))))) y)) |
(+ (* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) y))) y)) (* z (- 1/2 (* 1/6 z)))) |
(-.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) y) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/2 binary64))))) y)) |
(* 1/3 z) |
(*.f64 z #s(literal 1/3 binary64)) |
(* 1/3 z) |
(*.f64 z #s(literal 1/3 binary64)) |
(* 1/3 z) |
(*.f64 z #s(literal 1/3 binary64)) |
(* 1/3 z) |
(*.f64 z #s(literal 1/3 binary64)) |
(* 1/3 z) |
(*.f64 z #s(literal 1/3 binary64)) |
(* 1/3 z) |
(*.f64 z #s(literal 1/3 binary64)) |
(* 1/3 z) |
(*.f64 z #s(literal 1/3 binary64)) |
(* 1/3 z) |
(*.f64 z #s(literal 1/3 binary64)) |
(* 1/3 z) |
(*.f64 z #s(literal 1/3 binary64)) |
(* 1/3 z) |
(*.f64 z #s(literal 1/3 binary64)) |
(* 1/3 z) |
(*.f64 z #s(literal 1/3 binary64)) |
(* 1/3 z) |
(*.f64 z #s(literal 1/3 binary64)) |
Compiled 28001 to 2483 computations (91.1% saved)
26 alts after pruning (21 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 981 | 13 | 994 |
| Fresh | 5 | 8 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 989 | 26 | 1015 |
| Status | Accuracy | Program |
|---|---|---|
| 42.4% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) | |
| 60.4% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))) y) | |
| 27.3% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) | |
| 29.6% | (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) | |
| 32.2% | (/.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| 38.8% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) | |
| 1.4% | (/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) | |
| 2.0% | (/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 z (*.f64 z z))) | |
| 9.8% | (/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y) | |
| ✓ | 41.0% | (/.f64 (*.f64 y x) y) |
| 41.9% | (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) | |
| ✓ | 42.3% | (/.f64 #s(literal 1 binary64) y) |
| 67.8% | (-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z) z) (/.f64 z y)) | |
| 47.8% | (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)))))) y) x) | |
| 71.4% | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) | |
| 73.6% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))) z) (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y)) | |
| ✓ | 73.6% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y)) |
| 72.8% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64))))) y)) | |
| 73.7% | (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z)))) y)) | |
| 44.2% | (+.f64 x (/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y)) | |
| ✓ | 86.5% | (+.f64 x (/.f64 #s(literal 1 binary64) y)) |
| 9.8% | (*.f64 (/.f64 #s(literal 1/6 binary64) y) (*.f64 (neg.f64 (*.f64 z z)) z)) | |
| 9.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) | |
| 8.8% | (*.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y)) | |
| 9.8% | (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) y)) | |
| ✓ | 49.9% | x |
Compiled 1231 to 520 computations (57.8% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(*.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y) |
(*.f64 (/.f64 #s(literal 1/6 binary64) y) (*.f64 (neg.f64 (*.f64 z z)) z)) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(+.f64 x (/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 z y) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) y)) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z)))) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64))))) y)) |
(-.f64 (*.f64 z (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) z)) (/.f64 z y)) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z) z) (/.f64 z y)) |
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) y) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 x (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))) y) |
(+.f64 x (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 z (*.f64 z z))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))) z) (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 y (*.f64 z z))) (+.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (*.f64 y (*.f64 y y))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))))) y)) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)))))) y) x) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (*.f64 y y)))))))) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 x (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))) (*.f64 y x)))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))) (*.f64 y y))))) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (*.f64 z (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))))) z) (-.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))))) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) |
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) |
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) |
5 calls:
| 34.0ms | z |
| 18.0ms | y |
| 17.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 16.0ms | x |
| 13.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 2 | x |
| 99.9% | 3 | y |
| 90.1% | 2 | z |
| 88.5% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 94.0% | 3 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(*.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y) |
(*.f64 (/.f64 #s(literal 1/6 binary64) y) (*.f64 (neg.f64 (*.f64 z z)) z)) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(+.f64 x (/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 z y) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) y)) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z)))) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64))))) y)) |
(-.f64 (*.f64 z (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) z)) (/.f64 z y)) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z) z) (/.f64 z y)) |
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) y) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 x (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))) y) |
(+.f64 x (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 z (*.f64 z z))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))) z) (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 y (*.f64 z z))) (+.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (*.f64 y (*.f64 y y))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))))) y)) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)))))) y) x) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (*.f64 y y)))))))) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 x (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))) (*.f64 y x)))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))) (*.f64 y y))))) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (*.f64 z (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))))) z) (-.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))))) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
3 calls:
| 19.0ms | y |
| 15.0ms | x |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 2 | z |
| 86.5% | 1 | x |
| 91.1% | 3 | y |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(*.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y) |
(*.f64 (/.f64 #s(literal 1/6 binary64) y) (*.f64 (neg.f64 (*.f64 z z)) z)) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(+.f64 x (/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 z y) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) y)) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z)))) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64))))) y)) |
(-.f64 (*.f64 z (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) z)) (/.f64 z y)) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z) z) (/.f64 z y)) |
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) y) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 x (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) y) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))) y) |
(+.f64 x (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 z (*.f64 z z))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))) z) (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))) y)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 y (*.f64 z z))) (+.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (*.f64 y (*.f64 y y))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))))) y)) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y))) y)) y)))))) y) x) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (*.f64 y y)))))))) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 x (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))))))) (*.f64 y x)))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))) (*.f64 y y))))) y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))) (*.f64 z (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))))) z) (-.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))))))) y)) |
| Outputs |
|---|
(*.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
1 calls:
| 17.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 2 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
2 calls:
| 9.0ms | y |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 1 | y |
| 88.7% | 2 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
2 calls:
| 3.0ms | z |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 1 | x |
| 86.5% | 1 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
x |
3 calls:
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 3 | y |
| 57.7% | 4 | z |
| 68.6% | 3 | x |
Compiled 12 to 9 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
3 calls:
| 2.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 1 | z |
| 49.9% | 1 | x |
| 49.9% | 1 | y |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 4.032184739035974e-16 | 3.435301665846705e-13 |
| 25.0ms | -5.1572286523399284e+22 | -1.3751007761113738e+21 |
| 13.0ms | 137× | 0 | valid |
| 11.0ms | 39× | 1 | valid |
| 3.0ms | 43× | 0 | invalid |
Compiled 253 to 191 computations (24.5% saved)
ival-log: 6.0ms (32.1% of total)ival-div: 4.0ms (21.4% of total)ival-add: 3.0ms (16% of total)ival-exp: 2.0ms (10.7% of total)ival-mult: 2.0ms (10.7% of total)backward-pass: 2.0ms (10.7% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 60.0ms | -20.563667596413335 | -0.000497921571783601 |
| 46.0ms | 93× | 1 | valid |
| 4.0ms | 47× | 0 | invalid |
| 3.0ms | 35× | 0 | valid |
Compiled 174 to 135 computations (22.4% saved)
ival-log: 26.0ms (58.1% of total)ival-exp: 7.0ms (15.6% of total)ival-div: 5.0ms (11.2% of total)ival-add: 3.0ms (6.7% of total)ival-mult: 2.0ms (4.5% of total)backward-pass: 2.0ms (4.5% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 59.0ms | -3.082363490761884e+175 | -6.362748857604131e+166 |
| 29.0ms | 94× | 0 | valid |
| 15.0ms | 50× | 1 | valid |
| 6.0ms | 81× | 0 | invalid |
Compiled 220 to 159 computations (27.7% saved)
ival-log: 28.0ms (68.3% of total)ival-div: 4.0ms (9.8% of total)ival-add: 3.0ms (7.3% of total)ival-exp: 2.0ms (4.9% of total)ival-mult: 2.0ms (4.9% of total)backward-pass: 1.0ms (2.4% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | -2746.035155611826 | -20.563667596413335 |
| 35.0ms | 82× | 1 | valid |
| 3.0ms | 30× | 0 | valid |
| 2.0ms | 21× | 0 | invalid |
Compiled 162 to 120 computations (25.9% saved)
ival-log: 13.0ms (40.2% of total)ival-exp: 9.0ms (27.8% of total)ival-div: 4.0ms (12.4% of total)ival-add: 3.0ms (9.3% of total)ival-mult: 2.0ms (6.2% of total)backward-pass: 1.0ms (3.1% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 7.846838818631481e-66 | 1.572229744419731e-60 |
| 27.0ms | -2.13230485162726e+152 | -1.5165318240277442e+151 |
| 18.0ms | 54× | 1 | valid |
| 18.0ms | 186× | 0 | valid |
| 11.0ms | 50× | 0 | invalid |
Compiled 202 to 165 computations (18.3% saved)
ival-log: 16.0ms (48.7% of total)ival-div: 6.0ms (18.3% of total)ival-add: 4.0ms (12.2% of total)ival-exp: 3.0ms (9.1% of total)ival-mult: 3.0ms (9.1% of total)backward-pass: 1.0ms (3% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 4× | if-if-or-not_binary32 |
| 2× | sub0-neg_binary64 |
| 2× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 89 |
| 1 | 62 | 89 |
| 2 | 65 | 89 |
| 3 | 66 | 89 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -1400000000000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) (if (<=.f64 y #s(literal 3961408125713217/19807040628566084398385987584 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)))) |
(if (<=.f64 z #s(literal -20 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(if (<=.f64 z #s(literal -65000000000000005128297114999181932192163090931457107093689126054027135747353377212535341764192704629927311947584376490463710040246917338108863655001174353723294482432 binary64)) (*.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(if (<=.f64 z #s(literal -1000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -15500000000000001065774348727042225933865500007478443205990605846109914766951141499831288376172534092030102022432413510758517012882813886574995343147008 binary64)) x (if (<=.f64 y #s(literal 5608679322432503/3618502788666131106986593281521497120414687020801267626233049500247285301248 binary64)) (/.f64 #s(literal 1 binary64) y) x)) |
x |
| Outputs |
|---|
(if (<=.f64 y #s(literal -1400000000000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) (if (<=.f64 y #s(literal 3961408125713217/19807040628566084398385987584 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)))) |
(if (<=.f64 z #s(literal -20 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(if (<=.f64 z #s(literal -65000000000000005128297114999181932192163090931457107093689126054027135747353377212535341764192704629927311947584376490463710040246917338108863655001174353723294482432 binary64)) (*.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(if (<=.f64 z #s(literal -1000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -15500000000000001065774348727042225933865500007478443205990605846109914766951141499831288376172534092030102022432413510758517012882813886574995343147008 binary64)) x (if (<=.f64 y #s(literal 5608679322432503/3618502788666131106986593281521497120414687020801267626233049500247285301248 binary64)) (/.f64 #s(literal 1 binary64) y) x)) |
x |
| 4620× | *-lowering-*.f32 |
| 4620× | *-lowering-*.f64 |
| 4412× | *-lowering-*.f32 |
| 4412× | *-lowering-*.f64 |
| 4284× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 441 | 2963 |
| 1 | 1450 | 2397 |
| 2 | 5349 | 2325 |
| 0 | 8377 | 2325 |
| 0 | 417 | 4696 |
| 1 | 1409 | 4202 |
| 2 | 5408 | 4160 |
| 0 | 8272 | 4160 |
| 0 | 10 | 13 |
| 1 | 15 | 11 |
| 2 | 18 | 11 |
| 3 | 18 | 11 |
| 0 | 18 | 11 |
| 0 | 177 | 2505 |
| 1 | 515 | 2341 |
| 2 | 1608 | 2255 |
| 3 | 5942 | 2252 |
| 0 | 8370 | 2252 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 389 to 230 computations (40.9% saved)
Compiled 296 to 146 computations (50.7% saved)
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