
Time bar (total: 11.7s)
| 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 15 to 12 computations (20% saved)
| 789.0ms | 2 288× | 1 | valid |
| 628.0ms | 5 968× | 0 | valid |
| 163.0ms | 936× | 0 | invalid |
| 2.0ms | 21× | 1 | exit |
ival-log: 534.0ms (41.7% of total)ival-div: 321.0ms (25.1% of total)ival-add: 173.0ms (13.5% of total)ival-exp: 118.0ms (9.2% of total)ival-mult: 81.0ms (6.3% of total)adjust: 42.0ms (3.3% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| 1× | egg-herbie |
| 1 782× | div-sub |
| 850× | sub-neg |
| 614× | times-frac |
| 612× | distribute-rgt-in |
| 612× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 130 |
| 1 | 106 | 104 |
| 2 | 224 | 102 |
| 3 | 480 | 102 |
| 4 | 1083 | 102 |
| 5 | 2262 | 100 |
| 6 | 3232 | 100 |
| 7 | 4472 | 100 |
| 8 | 5310 | 100 |
| 9 | 6024 | 100 |
| 10 | 6426 | 100 |
| 11 | 6651 | 100 |
| 12 | 6930 | 100 |
| 13 | 7226 | 100 |
| 14 | 7480 | 100 |
| 15 | 7805 | 100 |
| 16 | 7903 | 100 |
| 17 | 7905 | 100 |
| 18 | 7905 | 100 |
| 19 | 7905 | 100 |
| 20 | 7973 | 100 |
| 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)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 157 | 50 | (-1.5963811360418702e-55 -2.066116688630861e+204 -1.1022772921233902e-140) | 2 | (3.3489406930707692e+255 2.2157097354361195e-296 6.754482453544035e+22) | (log.f64 (/.f64 y (+.f64 z y))) |
| 53 | 0 | - | 3 | (3.4653055817103713e-190 2.354442030270617e+186 1.0211989225589995e-131) | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 y (+.f64 z y)) |
| 0 | 0 | - | 0 | - | (+.f64 z y) |
| 0 | 1 | (2.8075898176380196e+119 5.485704867963556e+192 131.28619165257024) | 0 | - | (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 y (+.f64 z y))) | sensitivity | 189 | 0 |
log.f64 | (log.f64 (/.f64 y (+.f64 z y))) | uflow-rescue | 13 | 0 |
| ↳ | (log.f64 (/.f64 y (+.f64 z y))) | underflow | 50 | |
| ↳ | (/.f64 y (+.f64 z y)) | underflow | 16 | |
*.f64 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | n*u | 9 | 0 |
exp.f64 | (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 45 | 1 |
| - | 157 | 53 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 45 | 0 | 1 |
| - | 157 | 0 | 53 |
| number | freq |
|---|---|
| 0 | 54 |
| 1 | 192 |
| 2 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 98.0ms | 292× | 1 | valid |
| 32.0ms | 54× | 2 | valid |
| 15.0ms | 166× | 0 | valid |
Compiled 152 to 44 computations (71.1% saved)
ival-log: 54.0ms (46.1% of total)ival-div: 21.0ms (17.9% of total)ival-add: 17.0ms (14.5% of total)adjust: 10.0ms (8.5% of total)ival-exp: 9.0ms (7.7% of total)ival-mult: 6.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.1% | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
Compiled 16 to 10 computations (37.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| ✓ | cost-diff | 6656 | (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 6× | exp-lowering-exp.f32 |
| 6× | exp-lowering-exp.f64 |
| 4× | pow-lowering-pow.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 58 |
| 1 | 15 | 52 |
| 2 | 18 | 52 |
| 3 | 18 | 52 |
| 0 | 18 | 52 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ (exp (* y (log (/ y (+ z y))))) y)) |
x |
(/ (exp (* y (log (/ y (+ z y))))) y) |
(exp (* y (log (/ y (+ z y))))) |
(* y (log (/ y (+ z y)))) |
y |
(log (/ y (+ z y))) |
(/ y (+ z y)) |
(+ z y) |
z |
| Outputs |
|---|
(+ x (/ (exp (* y (log (/ y (+ z y))))) y)) |
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
x |
(/ (exp (* y (log (/ y (+ z y))))) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) |
(exp (* y (log (/ y (+ z y))))) |
(pow.f64 (/.f64 y (+.f64 y z)) y) |
(* y (log (/ y (+ z y)))) |
(*.f64 y (log.f64 (/.f64 y (+.f64 y z)))) |
y |
(log (/ y (+ z y))) |
(log.f64 (/.f64 y (+.f64 y z))) |
(/ y (+ z y)) |
(/.f64 y (+.f64 y z)) |
(+ z y) |
(+.f64 y z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| ✓ | accuracy | 100.0% | (/.f64 y (+.f64 z y)) |
| ✓ | accuracy | 81.1% | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
| ✓ | accuracy | 45.4% | (log.f64 (/.f64 y (+.f64 z y))) |
| 43.0ms | 146× | 1 | valid |
| 15.0ms | 27× | 2 | valid |
| 10.0ms | 83× | 0 | valid |
Compiled 60 to 12 computations (80% saved)
ival-log: 27.0ms (50.8% of total)ival-div: 7.0ms (13.2% of total)ival-exp: 7.0ms (13.2% of total)ival-add: 5.0ms (9.4% of total)adjust: 4.0ms (7.5% of total)ival-mult: 3.0ms (5.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (exp (* y (log (/ y (+ z y)))))> |
#<alt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))> |
#<alt (/ (exp (* y (log (/ y (+ z y))))) y)> |
#<alt (* y (log (/ y (+ z y))))> |
#<alt (log (/ y (+ z y)))> |
#<alt (/ y (+ z y))> |
| Outputs |
|---|
#<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 (/ (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 (* y (+ (log y) (log (/ 1 z))))> |
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))> |
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))> |
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))> |
#<alt (* -1 z)> |
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))> |
#<alt (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))> |
#<alt (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))))> |
#<alt (* -1 z)> |
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))> |
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y)))> |
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (* 1/2 (/ z y)) 1))> |
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))> |
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))> |
#<alt (* y (+ (log y) (log (/ 1 z))))> |
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))> |
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))> |
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))> |
#<alt (* y (+ (log (* -1 y)) (log (/ -1 z))))> |
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))> |
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))> |
#<alt (+ (log y) (log (/ 1 z)))> |
#<alt (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))> |
#<alt (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))> |
#<alt (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))> |
#<alt (* -1 (/ z y))> |
#<alt (/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)> |
#<alt (/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)> |
#<alt (/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)> |
#<alt (* -1 (/ z y))> |
#<alt (* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))> |
#<alt (* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))> |
#<alt (* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))> |
#<alt (* -1 (/ z y))> |
#<alt (* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))> |
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))> |
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))> |
#<alt (+ (log y) (log (/ 1 z)))> |
#<alt (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))> |
#<alt (+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))> |
#<alt (+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))))> |
#<alt (+ (log (* -1 y)) (log (/ -1 z)))> |
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))> |
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))> |
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) 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))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | y | @ | 0 | (exp (* y (log (/ y (+ z y))))) |
| 8.0ms | x | @ | 0 | (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) |
| 2.0ms | y | @ | inf | (exp (* y (log (/ y (+ z y))))) |
| 2.0ms | y | @ | inf | (/ (exp (* y (log (/ y (+ z y))))) y) |
| 2.0ms | y | @ | -inf | (exp (* y (log (/ y (+ z y))))) |
| 1× | batch-egg-rewrite |
| 3 390× | *-lowering-*.f32 |
| 3 390× | *-lowering-*.f64 |
| 3 144× | accelerator-lowering-fma.f32 |
| 3 144× | accelerator-lowering-fma.f64 |
| 2 802× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 1 | 57 | 46 |
| 2 | 451 | 46 |
| 3 | 6444 | 46 |
| 0 | 8014 | 46 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (* y (log (/ y (+ z y))))) |
(+ x (/ (exp (* y (log (/ y (+ z y))))) y)) |
(/ (exp (* y (log (/ y (+ z y))))) y) |
(* y (log (/ y (+ z y)))) |
(log (/ y (+ z y))) |
(/ y (+ z y)) |
| Outputs |
|---|
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y z))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 y (log.f64 (+.f64 y z)))) (exp.f64 (*.f64 y (log.f64 y))))) |
(/.f64 (exp.f64 (*.f64 y (log.f64 y))) (exp.f64 (*.f64 y (log.f64 (+.f64 y z))))) |
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (neg.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (-.f64 (neg.f64 y) z)))) |
(/.f64 (*.f64 (exp.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) (exp.f64 (*.f64 y (log.f64 (+.f64 y z))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (log.f64 y)))) (exp.f64 (*.f64 y (log.f64 (+.f64 y z))))) |
(/.f64 (neg.f64 (exp.f64 (*.f64 y (log.f64 y)))) (neg.f64 (exp.f64 (*.f64 y (log.f64 (+.f64 y z)))))) |
(pow.f64 (/.f64 y (+.f64 y z)) y) |
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 y z)))) |
(pow.f64 (exp.f64 y) (fma.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 (+.f64 y z) y) (neg.f64 y)) |
(pow.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y))) |
(*.f64 (exp.f64 (*.f64 y (log.f64 y))) (pow.f64 (exp.f64 y) (neg.f64 (log.f64 (+.f64 y z))))) |
(*.f64 (exp.f64 (*.f64 y (log.f64 y))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (log.f64 (+.f64 y z)))))) |
(*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) y) (pow.f64 y y)) |
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y z)) y)) |
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y)) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) y) (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) y) (pow.f64 (-.f64 z y) y)) |
(*.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 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64))))) |
(+.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 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y))))) |
(-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y 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 x #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
(fma.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y))))) |
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 1 binary64) x) |
(fma.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y))))) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
(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 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (neg.f64 y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) x) |
(fma.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (/.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) y) x) |
(fma.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (pow.f64 (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) #s(literal -1/2 binary64)) x) |
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(-.f64 (log.f64 (*.f64 y (fma.f64 (*.f64 y (-.f64 y z)) (*.f64 y (*.f64 (-.f64 y z) (*.f64 y (-.f64 y z)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) (log.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 y (-.f64 y z)) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))))) |
(-.f64 (log.f64 (*.f64 y (*.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 y (-.f64 y z)))))) (log.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (-.f64 (*.f64 z z) (*.f64 y (-.f64 y z)))))) |
(-.f64 (log.f64 (exp.f64 (log.f64 (neg.f64 y)))) (log.f64 (exp.f64 (log.f64 (-.f64 (neg.f64 y) z))))) |
(-.f64 (log.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (log.f64 (-.f64 (neg.f64 y) z))) |
(-.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 y (-.f64 y z)) (*.f64 y (*.f64 (-.f64 y z) (*.f64 y (-.f64 y z)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) (log.f64 (fma.f64 (*.f64 y (-.f64 y z)) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))))) |
(-.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 y (-.f64 y z)))))) (log.f64 (-.f64 (*.f64 z z) (*.f64 y (-.f64 y z))))) |
(-.f64 (log.f64 (*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) (*.f64 (+.f64 y z) (-.f64 z y)))) (log.f64 (+.f64 y z))) |
(-.f64 (log.f64 (*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y)))) (log.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 y z)) (log.f64 y)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 y z)) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 y z) y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (log.f64 (*.f64 y (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 (+.f64 y z) (-.f64 z y))) (log.f64 (*.f64 y (-.f64 z y)))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (+.f64 y z)) (log.f64 (*.f64 y (+.f64 y z))) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (log.f64 (*.f64 y (+.f64 y z))) (log.f64 (/.f64 y (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 y (+.f64 y z)))) #s(literal 0 binary64)) |
(neg.f64 (log.f64 (/.f64 (+.f64 y z) y))) |
(neg.f64 (log.f64 (exp.f64 (log.f64 (/.f64 (+.f64 y z) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (+.f64 y z)) (log.f64 (*.f64 y (+.f64 y z))) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 y (+.f64 y z))) (*.f64 (log.f64 (*.f64 y (+.f64 y z))) (log.f64 (/.f64 y (+.f64 y z)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y z)) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 y z)) (log.f64 (*.f64 y (+.f64 y z))) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (log.f64 (*.f64 y (+.f64 y z))) (log.f64 (/.f64 y (+.f64 y z)))) (log.f64 (*.f64 y (+.f64 y z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (+.f64 y z)) (log.f64 (*.f64 y (+.f64 y z))) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 y (+.f64 y z))) (log.f64 (/.f64 y (+.f64 y z))))) (neg.f64 (log.f64 (*.f64 y (+.f64 y z))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (+.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y z))) (neg.f64 (log.f64 (+.f64 y z)))) (*.f64 (log.f64 y) (neg.f64 (log.f64 (+.f64 y z))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 y)) (fma.f64 (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (-.f64 (neg.f64 y) z)) (*.f64 (log.f64 (neg.f64 y)) (log.f64 (-.f64 (neg.f64 y) z)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 y z) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 (+.f64 y z) y)) (log.f64 (/.f64 (+.f64 y z) y)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 y z) y)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (+.f64 y z))) (neg.f64 (log.f64 (+.f64 y z))))) (log.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y z))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 y))) (*.f64 (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (-.f64 (neg.f64 y) z)))) (log.f64 (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 (+.f64 y z) y)) (log.f64 (/.f64 (+.f64 y z) y)))) (log.f64 (/.f64 (+.f64 y z) y))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 y z) y))) |
(*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (+.f64 y z)) (log.f64 (*.f64 y (+.f64 y z))) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 y z))) (log.f64 (/.f64 y (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 y (+.f64 y z))))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 z z)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 y (-.f64 y z)))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 y (-.f64 y z))) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 z z))) |
(+.f64 (*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) z) (*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 z z) (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 y (-.f64 y z)) (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y z)) (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z z) (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))))) |
(+.f64 (*.f64 z (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y)))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))))) |
(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 (neg.f64 y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) z)) (/.f64 y (-.f64 (neg.f64 y) z))) |
(fma.f64 z (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))))) |
(fma.f64 (*.f64 z z) (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 y (-.f64 y z)) (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))))) |
(fma.f64 (*.f64 y (-.f64 y z)) (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 z z) (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 z z) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 y (-.f64 y z)))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 y (-.f64 y z)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 z z))) |
(fma.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) z (*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) (neg.f64 y))) |
(neg.f64 (/.f64 y (-.f64 (neg.f64 y) z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) z)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) y))) |
(/.f64 y (+.f64 y z)) |
(/.f64 (neg.f64 y) (-.f64 (neg.f64 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 (-.f64 (neg.f64 y) z) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(/.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(/.f64 (*.f64 y (fma.f64 y (-.f64 y z) (*.f64 z z))) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) |
(/.f64 (*.f64 y (-.f64 z y)) (*.f64 (+.f64 y z) (-.f64 z y))) |
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (+.f64 y z)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (-.f64 (neg.f64 y) z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (-.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 y (fma.f64 (*.f64 y (-.f64 y z)) (*.f64 y (*.f64 (-.f64 y z) (*.f64 y (-.f64 y z)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 y (-.f64 y z)) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))))) |
(/.f64 (*.f64 y (*.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 y (-.f64 y z))))) (*.f64 (fma.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 z) (-.f64 z y))) (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (+.f64 y z))) |
(/.f64 (*.f64 y (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y))) (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (fma.f64 y (+.f64 y z) (*.f64 z z)))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 y (-.f64 y z)) (*.f64 y (*.f64 (-.f64 y z) (*.f64 y (-.f64 y z)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 y (-.f64 y z)) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 y (-.f64 y z))))) (-.f64 (*.f64 z z) (*.f64 y (-.f64 y z)))) |
(/.f64 (*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z)) |
(/.f64 (*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y))) (fma.f64 y (+.f64 y z) (*.f64 z 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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y z))) |
(*.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y z))) |
(*.f64 (-.f64 z y) (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (neg.f64 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)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 y (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (-.f64 z y))) (*.f64 y (-.f64 z y))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (fma.f64 y (-.f64 y z) (*.f64 z z))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
(*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) (-.f64 z y)) |
(*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (neg.f64 (log.f64 (+.f64 y z))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 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 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))))) (fma.f64 y (-.f64 y z) (*.f64 z z))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 z y)) |
(*.f64 (/.f64 (neg.f64 y) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 y (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))))) (neg.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(*.f64 (/.f64 y (neg.f64 (*.f64 (+.f64 y z) (-.f64 z y)))) (+.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 y z))) (-.f64 y z)) |
| 1× | egg-herbie |
| 9 370× | accelerator-lowering-fma.f32 |
| 9 370× | accelerator-lowering-fma.f64 |
| 5 308× | *-lowering-*.f32 |
| 5 308× | *-lowering-*.f64 |
| 3 480× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 603 | 4108 |
| 1 | 1814 | 3482 |
| 2 | 6086 | 3379 |
| 0 | 8218 | 3225 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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))) |
(/ (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)) |
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(+ 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)) |
(* y (+ (log y) (log (/ 1 z)))) |
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))) |
(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) |
(+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) |
(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) |
(* -1 z) |
(* z (- (* 1/2 (/ z y)) 1)) |
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1)) |
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1)) |
(* y (+ (log y) (log (/ 1 z)))) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z))))) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))) |
(* y (+ (log (* -1 y)) (log (/ -1 z)))) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (log y) (log (/ 1 z))) |
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))) |
(* -1 (/ z y)) |
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y) |
(/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y) |
(/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y) |
(* -1 (/ z y)) |
(* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)) |
(* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y)) |
(* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y)) |
(* -1 (/ z y)) |
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y))) |
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(+ (log y) (log (/ 1 z))) |
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))) |
(+ (log (* -1 y)) (log (/ -1 z))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z)))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z)))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) 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 |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(fma.f64 y (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
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(+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -2 binary64))) (*.f64 y y)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 30 binary64)) (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 y (*.f64 y y))))) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 z)) |
(+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z))) y) (*.f64 (*.f64 z z) #s(literal -1/2 binary64))) y)) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) |
(-.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 30 binary64)) (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z)))) y)) y)) y)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 1/2 (/ z y)) 1)) |
(*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) |
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1)) |
(*.f64 z (fma.f64 z (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) |
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1)) |
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 z (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) |
(* y (+ (log y) (log (/ 1 z)))) |
(*.f64 y (-.f64 (log.f64 y) (log.f64 z))) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z))))) |
(*.f64 y (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z))) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))) |
(fma.f64 y (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y y))) (*.f64 z z))) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z))) (fma.f64 y (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y y))) (*.f64 z z)))) |
(* y (+ (log (* -1 y)) (log (/ -1 z)))) |
(*.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z))))) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(fma.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) (*.f64 y (/.f64 y (neg.f64 z)))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(fma.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 y y)) z) (*.f64 y y)) (neg.f64 z))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(-.f64 (*.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z))))) (/.f64 (-.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y))) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y y)))) z)) z)) |
(+ (log y) (log (/ 1 z))) |
(-.f64 (log.f64 y) (log.f64 z)) |
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))) |
(-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))) |
(fma.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (log.f64 y) (log.f64 z))) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) (-.f64 (log.f64 y) (log.f64 z))) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 z)) y) |
(/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y) |
(/.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -2 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 z))) y) |
(/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -2 binary64))) (*.f64 y y)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 30 binary64)) (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 y (*.f64 y y))))) z) y) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)) |
(/.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) z) (neg.f64 y)) |
(* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y)) |
(/.f64 (-.f64 z (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 z z))) y)) (neg.f64 y)) |
(* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y)) |
(/.f64 (-.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 30 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) y)) (neg.f64 y))) y)) (neg.f64 y)) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y))) |
(*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))) |
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(*.f64 z (fma.f64 z (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y))) |
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 z (*.f64 (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y))) |
(+ (log y) (log (/ 1 z))) |
(-.f64 (log.f64 y) (log.f64 z)) |
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))) |
(-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))) |
(+.f64 (log.f64 y) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 z z)) (+.f64 (/.f64 y z) (log.f64 z)))) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))) |
(+.f64 (-.f64 (log.f64 y) (log.f64 z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y))) (*.f64 z (*.f64 z z))) (/.f64 y (neg.f64 z))))) |
(+ (log (* -1 y)) (log (/ -1 z))) |
(+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z)))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 z))) (-.f64 (log.f64 (neg.f64 y)) (/.f64 y z))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z)))) |
(+.f64 (log.f64 (neg.f64 y)) (-.f64 (neg.f64 (log.f64 (neg.f64 z))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) y) z))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z)))) |
(-.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) (/.f64 (-.f64 y (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y))) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) z)) z)) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z))) |
(-.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) y)) |
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))) |
(fma.f64 y (-.f64 (*.f64 y (/.f64 y (*.f64 z (*.f64 z z)))) (/.f64 y (*.f64 z z))) (/.f64 y z)) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(fma.f64 (*.f64 y y) (fma.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))) (/.f64 y 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 (fma.f64 z (/.f64 z y) (neg.f64 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 (/.f64 (fma.f64 z (/.f64 (*.f64 z (neg.f64 z)) y) (*.f64 z z)) y) z) 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 (fma.f64 z (/.f64 z y) (neg.f64 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 (/.f64 (fma.f64 z (/.f64 (*.f64 z (neg.f64 z)) y) (*.f64 z z)) y) z) 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 (fma.f64 z (/.f64 z y) (neg.f64 z)) y)) |
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/ 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 (fma.f64 y (neg.f64 y) (/.f64 (*.f64 y (*.f64 y y)) z)) 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 (fma.f64 y (neg.f64 y) (/.f64 (*.f64 y (*.f64 y y)) z)) z)) z) |
(/ y z) |
(/.f64 y z) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(/.f64 (-.f64 (/.f64 (*.f64 y y) z) y) (neg.f64 z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(/.f64 (+.f64 y (/.f64 (fma.f64 y (neg.f64 y) (/.f64 (*.f64 y (*.f64 y y)) z)) z)) z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
(neg.f64 (/.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 13 511 to 2 246 computations (83.4% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 477 | 11 | 488 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 478 | 11 | 489 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.8% | (fma.f64 z (fma.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)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
| 39.0% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) | |
| 39.8% | (/.f64 #s(literal 1 binary64) y) | |
| ▶ | 68.2% | (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
| ▶ | 82.7% | (+.f64 (/.f64 #s(literal 1 binary64) y) x) |
| 58.8% | (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) | |
| 66.2% | (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) | |
| 68.2% | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) | |
| ▶ | 87.3% | (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
| 83.1% | (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))))) | |
| ▶ | 49.6% | x |
Compiled 306 to 202 computations (34% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | cost-diff | 320 | (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
| ✓ | cost-diff | 320 | (fma.f64 z (fma.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)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
| ✓ | cost-diff | 384 | (fma.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)) |
| ✓ | 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 | 704 | (+.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 (/.f64 #s(literal 1 binary64) y) x) |
| ✓ | cost-diff | 0 | (neg.f64 z) |
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 z)) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 (neg.f64 z)) y) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
| 11 792× | accelerator-lowering-fma.f32 |
| 11 792× | accelerator-lowering-fma.f64 |
| 2 402× | *-lowering-*.f32 |
| 2 402× | *-lowering-*.f64 |
| 1 590× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 131 |
| 1 | 56 | 131 |
| 2 | 141 | 131 |
| 3 | 266 | 127 |
| 4 | 548 | 127 |
| 5 | 1309 | 125 |
| 6 | 3112 | 125 |
| 7 | 5270 | 121 |
| 8 | 6878 | 121 |
| 9 | 7617 | 121 |
| 10 | 7963 | 121 |
| 0 | 8007 | 118 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (exp (neg z)) y)) |
x |
(/ (exp (neg z)) y) |
(exp (neg z)) |
(neg z) |
z |
y |
x |
(+ (/ 1 y) x) |
(/ 1 y) |
1 |
y |
x |
(+ (/ 1 y) (- x (/ z y))) |
(/ 1 y) |
1 |
y |
(- x (/ z y)) |
x |
(/ z y) |
z |
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x)) |
z |
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y)) |
(+ (/ 1/2 y) (/ 1/2 (* y y))) |
(/ 1/2 y) |
1/2 |
y |
(/ 1/2 (* y y)) |
(* y y) |
(/ -1 y) |
-1 |
(+ (/ 1 y) x) |
(/ 1 y) |
1 |
x |
| Outputs |
|---|
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
x |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(exp (neg z)) |
(exp.f64 (neg.f64 z)) |
(neg z) |
(neg.f64 z) |
z |
y |
x |
(+ (/ 1 y) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
x |
(+ (/ 1 y) (- x (/ z y))) |
(+.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 (/ z y)) |
(-.f64 x (/.f64 z y)) |
x |
(/ z y) |
(/.f64 z y) |
z |
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x)) |
(+.f64 x (fma.f64 (/.f64 z y) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
z |
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) |
(+ (/ 1/2 y) (/ 1/2 (* y y))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
1/2 |
#s(literal 1/2 binary64) |
y |
(/ 1/2 (* y y)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(* y y) |
(*.f64 y y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
-1 |
#s(literal -1 binary64) |
(+ (/ 1 y) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
| ✓ | accuracy | 97.0% | (fma.f64 z (fma.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)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
| ✓ | accuracy | 94.0% | (fma.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)) |
| ✓ | 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 (/.f64 #s(literal 1 binary64) y) x) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 z)) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 (neg.f64 z)) y) |
| 52.0ms | 256× | 0 | valid |
Compiled 130 to 26 computations (80% saved)
ival-div: 11.0ms (31% of total)ival-add: 11.0ms (31% of total)ival-mult: 8.0ms (22.5% of total)ival-exp: 2.0ms (5.6% of total)ival-sub: 1.0ms (2.8% of total)ival-neg: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ (exp (neg z)) y))> |
#<alt (/ (exp (neg z)) y)> |
#<alt (exp (neg z))> |
#<alt (neg z)> |
#<alt (+ (/ 1 y) x)> |
#<alt (/ 1 y)> |
#<alt (+ (/ 1 y) (- x (/ z y)))> |
#<alt (- x (/ z y))> |
#<alt (/ z y)> |
#<alt (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))> |
#<alt (+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))> |
#<alt (+ (/ 1/2 y) (/ 1/2 (* y y)))> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 (* 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 (/ (+ 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 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)> |
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))> |
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))> |
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))> |
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))> |
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))> |
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))> |
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))> |
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))> |
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))> |
#<alt (* 1/2 (/ z (pow y 2)))> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)> |
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)> |
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)> |
#<alt (* -1 (/ (+ 1 (* -1/2 z)) y))> |
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))> |
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))> |
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z 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 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))> |
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))> |
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))> |
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))> |
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))> |
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))> |
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))> |
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))> |
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))> |
#<alt x> |
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))> |
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))> |
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)))> |
#<alt (+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))> |
#<alt (+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))> |
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 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 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))> |
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))> |
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))> |
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))> |
#<alt (/ 1/2 (pow y 2))> |
#<alt (/ (+ 1/2 (* 1/2 y)) (pow y 2))> |
#<alt (/ (+ 1/2 (* 1/2 y)) (pow y 2))> |
#<alt (/ (+ 1/2 (* 1/2 y)) (pow y 2))> |
#<alt (/ 1/2 y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)> |
#<alt (/ 1/2 y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)> |
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 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))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | inf | (+ x (/ (exp (neg z)) y)) |
| 5.0ms | z | @ | 0 | (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y)) |
| 1.0ms | x | @ | 0 | (+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x)) |
| 1.0ms | z | @ | inf | (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y)) |
| 1.0ms | y | @ | 0 | (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y)) |
| 1× | batch-egg-rewrite |
| 6 176× | accelerator-lowering-fma.f32 |
| 6 176× | accelerator-lowering-fma.f64 |
| 4 126× | /-lowering-/.f32 |
| 4 126× | /-lowering-/.f64 |
| 3 680× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 97 |
| 1 | 175 | 97 |
| 2 | 2045 | 95 |
| 0 | 8560 | 89 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (exp (neg z)) y)) |
(/ (exp (neg z)) y) |
(exp (neg z)) |
(neg z) |
(+ (/ 1 y) x) |
(/ 1 y) |
(+ (/ 1 y) (- x (/ z y))) |
(- x (/ z y)) |
(/ z y) |
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y)) |
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x)) |
(+ (/ 1/2 y) (/ 1/2 (* y y))) |
(/ 1/2 y) |
(/ 1/2 (* y y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x))) |
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 (exp.f64 (neg.f64 z)) y) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 (neg.f64 (neg.f64 z))) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) x) |
(fma.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 (exp.f64 (neg.f64 z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))) (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))) (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 y (exp.f64 z)))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 y (exp.f64 z))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (fma.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))))) |
(pow.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))) (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))))) |
(*.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (exp.f64 z))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (neg.f64 z) (neg.f64 (log.f64 y)))) |
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (neg.f64 z))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (exp.f64 (neg.f64 z)) (neg.f64 y))) |
(neg.f64 (/.f64 (exp.f64 (neg.f64 z)) (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 (neg.f64 z))) y)) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 z) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y (exp.f64 z))))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)) |
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 z) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (exp.f64 z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 z) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (exp.f64 z))) |
(/.f64 (neg.f64 (exp.f64 (neg.f64 z))) (neg.f64 y)) |
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 z)))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 z))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(pow.f64 (*.f64 y (exp.f64 z)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (exp.f64 (neg.f64 z)) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 (neg.f64 (neg.f64 z))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (exp.f64 (neg.f64 z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(exp.f64 (neg.f64 z)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 z)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) (exp.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 z) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) z) |
(pow.f64 (/.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 z))) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(-.f64 #s(literal 0 binary64) z) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 0 binary64) z))) |
(neg.f64 z) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(*.f64 z #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) z) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 x (/.f64 #s(literal 1 binary64) y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 x (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(exp.f64 (neg.f64 (log.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
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(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 16 926× | accelerator-lowering-fma.f32 |
| 16 926× | accelerator-lowering-fma.f64 |
| 3 748× | *-lowering-*.f32 |
| 3 748× | *-lowering-*.f64 |
| 2 426× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 2248 |
| 1 | 554 | 2246 |
| 2 | 1558 | 2120 |
| 3 | 4755 | 2044 |
| 0 | 8088 | 1944 |
| 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) |
(/ (+ 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 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))) |
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)))) |
(* -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))) |
(/ 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 y) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))))) |
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))))) |
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))))) |
(* 1/2 (/ z (pow y 2))) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/ (- (* 1/2 z) 1) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y) |
(* -1 (/ (+ 1 (* -1/2 z)) y)) |
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y)) |
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y)) |
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z 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 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z)))) |
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) |
(* 1/2 (/ (pow z 2) (pow y 2))) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2)) |
x |
(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))) |
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))) |
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))) |
x |
(+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y))) |
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))) |
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
x |
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x)))) |
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x)))) |
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1))) |
(/ 1/2 (pow y 2)) |
(/ (+ 1/2 (* 1/2 y)) (pow y 2)) |
(/ (+ 1/2 (* 1/2 y)) (pow y 2)) |
(/ (+ 1/2 (* 1/2 y)) (pow y 2)) |
(/ 1/2 y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/ 1/2 y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 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)) |
| Outputs |
|---|
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
x |
(* x (+ 1 (/ (exp (neg z)) (* x y)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(* x (+ 1 (/ (exp (neg z)) (* x y)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(* x (+ 1 (/ (exp (neg z)) (* x y)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
x |
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ 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 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))) |
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (+ (exp (neg z)) (* x y)) y) |
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y) |
(/ (+ (exp (neg z)) (* x y)) y) |
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y) |
(/ (+ (exp (neg z)) (* x y)) y) |
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y) |
x |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
x |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ (exp (neg z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(/ 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 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)) |
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (* -1 z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (* -1 z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (* -1 z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (* -1 z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (exp (neg z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (- (* 1/2 z) 1))) |
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg z)) |
(exp.f64 (neg.f64 z)) |
(exp (neg z)) |
(exp.f64 (neg.f64 z)) |
(exp (neg z)) |
(exp.f64 (neg.f64 z)) |
(exp (neg z)) |
(exp.f64 (neg.f64 z)) |
(exp (* -1 z)) |
(exp.f64 (neg.f64 z)) |
(exp (* -1 z)) |
(exp.f64 (neg.f64 z)) |
(exp (* -1 z)) |
(exp.f64 (neg.f64 z)) |
(exp (* -1 z)) |
(exp.f64 (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
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(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
x |
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x)))) |
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x)))) |
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x)))) |
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
x |
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)) x) x) |
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)) x) x) |
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)) x) x) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ (+ 1/2 (* 1/2 y)) (pow y 2)) |
(/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) |
(/ (+ 1/2 (* 1/2 y)) (pow y 2)) |
(/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) |
(/ (+ 1/2 (* 1/2 y)) (pow y 2)) |
(/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) 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)) |
Compiled 21 940 to 1 921 computations (91.2% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 910 | 15 | 925 |
| Fresh | 3 | 3 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 916 | 20 | 936 |
| Status | Accuracy | Program |
|---|---|---|
| 26.5% | (fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)) | |
| 61.9% | (fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) | |
| 21.1% | (/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y)) | |
| ▶ | 69.8% | (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
| 39.0% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) | |
| 29.2% | (/.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| 42.1% | (/.f64 (exp.f64 (neg.f64 z)) y) | |
| 3.2% | (/.f64 z (neg.f64 y)) | |
| ▶ | 51.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
| ▶ | 39.8% | (/.f64 #s(literal 1 binary64) y) |
| 68.5% | (-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) | |
| 68.2% | (-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) | |
| ✓ | 82.7% | (+.f64 (/.f64 #s(literal 1 binary64) y) x) |
| 66.9% | (+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) | |
| 69.1% | (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) | |
| ▶ | 87.3% | (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) |
| 83.1% | (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))))) | |
| 4.5% | (*.f64 (/.f64 z y) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) | |
| ▶ | 4.6% | (*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)) |
| ✓ | 49.6% | x |
Compiled 506 to 335 computations (33.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) y) x) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
| ✓ | cost-diff | 1536 | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | cost-diff | 0 | (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)) |
| ✓ | cost-diff | 0 | (fma.f64 y x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (exp.f64 z) |
| ✓ | cost-diff | 0 | (*.f64 (exp.f64 z) y) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) |
| ✓ | cost-diff | 192 | (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)) |
| 6 616× | accelerator-lowering-fma.f32 |
| 6 616× | accelerator-lowering-fma.f64 |
| 3 476× | *-lowering-*.f32 |
| 3 476× | *-lowering-*.f64 |
| 1 316× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 152 |
| 1 | 59 | 150 |
| 2 | 105 | 148 |
| 3 | 200 | 148 |
| 4 | 426 | 148 |
| 5 | 835 | 148 |
| 6 | 1884 | 148 |
| 7 | 3691 | 130 |
| 8 | 5542 | 130 |
| 9 | 6903 | 130 |
| 10 | 7462 | 130 |
| 11 | 7767 | 130 |
| 12 | 7967 | 130 |
| 0 | 8023 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ 1 (* (exp z) y))) |
x |
(/ 1 (* (exp z) y)) |
1 |
(* (exp z) y) |
(exp z) |
z |
y |
(/ 1 y) |
1 |
y |
(/ (+ (* y x) 1) y) |
(+ (* y x) 1) |
y |
x |
1 |
(* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) |
z |
(/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y) |
(+ (* z (+ 1/2 (/ 1/2 y))) -1) |
(+ 1/2 (/ 1/2 y)) |
1/2 |
(/ 1/2 y) |
y |
-1 |
(/ 1 (/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x)))) |
1 |
(/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x))) |
(- (/ 1 y) x) |
(/ 1 y) |
y |
x |
(- (/ 1 (* y y)) (* x x)) |
(/ 1 (* y y)) |
(* y y) |
(* x x) |
| Outputs |
|---|
(+ x (/ 1 (* (exp z) y))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
x |
(/ 1 (* (exp z) y)) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
1 |
#s(literal 1 binary64) |
(* (exp z) y) |
(*.f64 (exp.f64 z) y) |
(exp z) |
(exp.f64 z) |
z |
y |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(/ (+ (* y x) 1) y) |
(/.f64 (fma.f64 x y #s(literal 1 binary64)) y) |
(+ (* y x) 1) |
(fma.f64 x y #s(literal 1 binary64)) |
y |
x |
1 |
#s(literal 1 binary64) |
(* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) |
(/.f64 (*.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) y) |
z |
(/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y) |
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) |
(+ (* z (+ 1/2 (/ 1/2 y))) -1) |
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
(+ 1/2 (/ 1/2 y)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
y |
-1 |
#s(literal -1 binary64) |
(/ 1 (/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
1 |
#s(literal 1 binary64) |
(/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(- (/ 1 y) x) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
y |
x |
(- (/ 1 (* y y)) (* x x)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/ 1 (* y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(* y y) |
(*.f64 y y) |
(* x x) |
(*.f64 x x) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 y y)) |
| ✓ | accuracy | 95.9% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
| ✓ | accuracy | 70.0% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) |
| ✓ | accuracy | 100.0% | (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
| ✓ | accuracy | 96.8% | (*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)) |
| ✓ | accuracy | 100.0% | (fma.f64 y x #s(literal 1 binary64)) |
| ✓ | accuracy | 84.9% | (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) |
| ✓ | accuracy | 100.0% | (exp.f64 z) |
| ✓ | accuracy | 100.0% | (*.f64 (exp.f64 z) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)) |
| 45.0ms | 206× | 0 | valid |
| 11.0ms | 50× | 0 | exit |
Compiled 149 to 29 computations (80.5% saved)
ival-div: 15.0ms (44.5% of total)ival-mult: 9.0ms (26.7% of total)ival-add: 5.0ms (14.8% of total)ival-sub: 2.0ms (5.9% of total)ival-exp: 2.0ms (5.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (* (exp z) y))> |
#<alt (+ x (/ 1 (* (exp z) y)))> |
#<alt (* (exp z) y)> |
#<alt (exp z)> |
#<alt (/ 1 y)> |
#<alt (/ (+ (* y x) 1) y)> |
#<alt (+ (* y x) 1)> |
#<alt (* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y))> |
#<alt (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)> |
#<alt (+ (* z (+ 1/2 (/ 1/2 y))) -1)> |
#<alt (+ 1/2 (/ 1/2 y))> |
#<alt (/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x)))> |
#<alt (/ 1 (/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x))))> |
#<alt (- (/ 1 y) x)> |
#<alt (- (/ 1 (* y y)) (* x x))> |
#<alt (/ 1 (* y y))> |
| Outputs |
|---|
#<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 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x (* y (exp z))))))> |
#<alt (* x (+ 1 (/ 1 (* x (* y (exp z))))))> |
#<alt (* x (+ 1 (/ 1 (* x (* y (exp z))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x (* y (exp z))))))> |
#<alt (* x (+ 1 (/ 1 (* x (* y (exp z))))))> |
#<alt (* x (+ 1 (/ 1 (* x (* y (exp z))))))> |
#<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 (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ (+ (* x y) (/ 1 (exp z))) y)> |
#<alt (/ (+ (* x y) (/ 1 (exp z))) y)> |
#<alt (/ (+ (* x y) (/ 1 (exp z))) y)> |
#<alt x> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt x> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt y> |
#<alt (+ y (* y z))> |
#<alt (+ y (* z (+ y (* 1/2 (* y z)))))> |
#<alt (+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt (* y (exp z))> |
#<alt 1> |
#<alt (+ 1 z)> |
#<alt (+ 1 (* z (+ 1 (* 1/2 z))))> |
#<alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))> |
#<alt (exp z)> |
#<alt (exp z)> |
#<alt (exp z)> |
#<alt (exp z)> |
#<alt (exp z)> |
#<alt (exp z)> |
#<alt (exp z)> |
#<alt (exp z)> |
#<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 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 (* -1 (/ z y))> |
#<alt (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))> |
#<alt (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))> |
#<alt (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))> |
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)> |
#<alt (* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))> |
#<alt (* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))> |
#<alt (* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))> |
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)> |
#<alt (* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))> |
#<alt (* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))> |
#<alt (* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))> |
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))> |
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))> |
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))> |
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)> |
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)> |
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (* -1 (/ (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) y))> |
#<alt (* -1 (/ (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) y))> |
#<alt (* -1 (/ (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) y))> |
#<alt (/ -1 y)> |
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))> |
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))> |
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y)> |
#<alt (* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))> |
#<alt (* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))> |
#<alt (* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y)> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))> |
#<alt (* 1/2 (/ z (pow y 2)))> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)> |
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)> |
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))> |
#<alt (* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))> |
#<alt (* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))> |
#<alt -1> |
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)> |
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)> |
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)> |
#<alt (* z (+ 1/2 (* 1/2 (/ 1 y))))> |
#<alt (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))> |
#<alt (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))> |
#<alt (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))> |
#<alt (* z (+ 1/2 (* 1/2 (/ 1 y))))> |
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))> |
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))> |
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))> |
#<alt (* 1/2 (/ z y))> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)> |
#<alt (- (* 1/2 z) 1)> |
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)> |
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)> |
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)> |
#<alt (- (* 1/2 z) 1)> |
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)> |
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)> |
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)> |
#<alt (/ 1/2 y)> |
#<alt (/ (+ 1/2 (* 1/2 y)) y)> |
#<alt (/ (+ 1/2 (* 1/2 y)) y)> |
#<alt (/ (+ 1/2 (* 1/2 y)) y)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 y)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 y)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 y)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 y)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 y)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (* -1 (* x y))))> |
#<alt (* y (+ 1 (* y (+ (* -1 x) (* (pow x 2) y)))))> |
#<alt (* y (+ 1 (* y (+ (* -1 x) (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2))))))))> |
#<alt (/ 1 x)> |
#<alt (- (/ 1 x) (/ 1 (* (pow x 2) y)))> |
#<alt (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y)))> |
#<alt (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3)))))> |
#<alt (/ 1 x)> |
#<alt (- (/ 1 x) (/ 1 (* (pow x 2) y)))> |
#<alt (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x))> |
#<alt y> |
#<alt (+ y (* -1 (* x (pow y 2))))> |
#<alt (+ y (* x (+ (* -1 (pow y 2)) (* x (pow y 3)))))> |
#<alt (+ y (* x (+ (* -1 (pow y 2)) (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3)))))))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (/ 1 (* x y))) x)> |
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) x)> |
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ 1 (* x y)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x))> |
#<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 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 (/ 1 (pow y 2))> |
#<alt (/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))> |
#<alt (/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))> |
#<alt (/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))> |
#<alt (* -1 (pow x 2))> |
#<alt (- (/ 1 (pow y 2)) (pow x 2))> |
#<alt (- (/ 1 (pow y 2)) (pow x 2))> |
#<alt (- (/ 1 (pow y 2)) (pow x 2))> |
#<alt (* -1 (pow x 2))> |
#<alt (- (/ 1 (pow y 2)) (pow x 2))> |
#<alt (- (/ 1 (pow y 2)) (pow x 2))> |
#<alt (- (/ 1 (pow y 2)) (pow x 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))> |
#<alt (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))> |
#<alt (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))> |
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))> |
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))> |
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))> |
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | (* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) |
| 1.0ms | z | @ | -inf | (* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) |
| 1.0ms | z | @ | -inf | (/ 1 (* (exp z) y)) |
| 1.0ms | z | @ | inf | (/ 1 (* (exp z) y)) |
| 1.0ms | y | @ | 0 | (/ 1 (* (exp z) y)) |
| 1× | batch-egg-rewrite |
| 5 314× | /-lowering-/.f32 |
| 5 314× | /-lowering-/.f64 |
| 4 532× | accelerator-lowering-fma.f32 |
| 4 532× | accelerator-lowering-fma.f64 |
| 4 370× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 124 |
| 1 | 182 | 98 |
| 2 | 1596 | 98 |
| 0 | 8640 | 93 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (exp z) y)) |
(+ x (/ 1 (* (exp z) y))) |
(* (exp z) y) |
(exp z) |
(/ 1 y) |
(/ (+ (* y x) 1) y) |
(+ (* y x) 1) |
(* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) |
(/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y) |
(+ (* z (+ 1/2 (/ 1/2 y))) -1) |
(+ 1/2 (/ 1/2 y)) |
(/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x))) |
(/ 1 (/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x)))) |
(- (/ 1 y) x) |
(- (/ 1 (* y y)) (* x x)) |
(/ 1 (* y y)) |
| Outputs |
|---|
(exp.f64 (neg.f64 (log.f64 (*.f64 (exp.f64 z) y)))) |
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (neg.f64 z))) |
(exp.f64 (+.f64 (neg.f64 z) (neg.f64 (log.f64 y)))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 z) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 z) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)) |
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 z) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (exp.f64 z) (neg.f64 y))))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (exp.f64 z))) |
(/.f64 (neg.f64 (exp.f64 (neg.f64 z))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 z)))) (neg.f64 (neg.f64 y))) |
(pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (*.f64 (exp.f64 z) (neg.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y)) |
(*.f64 (/.f64 (exp.f64 (neg.f64 z)) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 z) y))) |
(*.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y) x) |
(fma.f64 (/.f64 (exp.f64 (neg.f64 z)) y) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 z) y)) x) |
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1/2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 (exp.f64 z) y)))) (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))) |
(pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (neg.f64 x))))))) |
(*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (neg.f64 x))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 y y))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(pow.f64 y #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
| 1× | egg-herbie |
| 11 620× | accelerator-lowering-fma.f32 |
| 11 620× | accelerator-lowering-fma.f64 |
| 4 518× | *-lowering-*.f32 |
| 4 518× | *-lowering-*.f64 |
| 1 772× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 2601 |
| 1 | 761 | 2518 |
| 2 | 1886 | 2381 |
| 3 | 5597 | 2369 |
| 0 | 8271 | 2248 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(/ 1 (* y (exp z))) |
(+ x (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
x |
(* x (+ 1 (/ 1 (* x (* y (exp z)))))) |
(* x (+ 1 (/ 1 (* x (* y (exp z)))))) |
(* x (+ 1 (/ 1 (* x (* y (exp z)))))) |
x |
(* x (+ 1 (/ 1 (* x (* y (exp z)))))) |
(* x (+ 1 (/ 1 (* x (* y (exp z)))))) |
(* x (+ 1 (/ 1 (* x (* y (exp z)))))) |
(+ 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 (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
(/ 1 (* y (exp z))) |
(/ (+ (* x y) (/ 1 (exp z))) y) |
(/ (+ (* x y) (/ 1 (exp z))) y) |
(/ (+ (* x y) (/ 1 (exp z))) y) |
x |
(+ x (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
x |
(+ x (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
(+ x (/ 1 (* y (exp z)))) |
y |
(+ y (* y z)) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
1 |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(exp z) |
(exp z) |
(exp z) |
(exp z) |
(exp z) |
(exp z) |
(exp z) |
(exp z) |
(/ 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 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)))) |
(* -1 (/ z y)) |
(* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y) |
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y) |
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(* 1/2 (/ (pow z 2) (pow y 2))) |
(/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2)) |
(/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2)) |
(/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2)) |
(/ (* z (- (* 1/2 z) 1)) y) |
(/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y) |
(/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y) |
(/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y) |
(/ (* z (- (* 1/2 z) 1)) y) |
(* -1 (/ (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) y)) |
(* -1 (/ (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) y)) |
(* -1 (/ (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) y)) |
(/ -1 y) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y) |
(* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z))))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z))))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z))))) |
(* 1/2 (/ z (pow y 2))) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/ (- (* 1/2 z) 1) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y) |
(/ (- (* 1/2 z) 1) y) |
(* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y)) |
(* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y)) |
(* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y)) |
-1 |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(* z (+ 1/2 (* 1/2 (/ 1 y)))) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* z (+ 1/2 (* 1/2 (/ 1 y)))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(* 1/2 (/ z y)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(- (* 1/2 z) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(- (* 1/2 z) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(/ 1/2 y) |
(/ (+ 1/2 (* 1/2 y)) y) |
(/ (+ 1/2 (* 1/2 y)) y) |
(/ (+ 1/2 (* 1/2 y)) y) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
y |
(* y (+ 1 (* -1 (* x y)))) |
(* y (+ 1 (* y (+ (* -1 x) (* (pow x 2) y))))) |
(* y (+ 1 (* y (+ (* -1 x) (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))))))) |
(/ 1 x) |
(- (/ 1 x) (/ 1 (* (pow x 2) y))) |
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) |
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) |
(/ 1 x) |
(- (/ 1 x) (/ 1 (* (pow x 2) y))) |
(+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) |
y |
(+ y (* -1 (* x (pow y 2)))) |
(+ y (* x (+ (* -1 (pow y 2)) (* x (pow y 3))))) |
(+ y (* x (+ (* -1 (pow y 2)) (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3))))))) |
(/ 1 x) |
(/ (- 1 (/ 1 (* x y))) x) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) x) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 (* x y)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x)) |
(/ 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 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))))) |
(/ 1 (pow y 2)) |
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2)) |
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2)) |
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2)) |
(* -1 (pow x 2)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(* -1 (pow x 2)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(/ 1 (pow y 2)) |
(+ (* -1 (pow x 2)) (/ 1 (pow y 2))) |
(+ (* -1 (pow x 2)) (/ 1 (pow y 2))) |
(+ (* -1 (pow x 2)) (/ 1 (pow y 2))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
| Outputs |
|---|
(/ 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)) |
(fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)) |
(fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
x |
(* x (+ 1 (/ 1 (* x (* y (exp z)))))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(* x (+ 1 (/ 1 (* x (* y (exp z)))))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(* x (+ 1 (/ 1 (* x (* y (exp z)))))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
x |
(* x (+ 1 (/ 1 (* x (* y (exp z)))))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(* x (+ 1 (/ 1 (* x (* y (exp z)))))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(* x (+ 1 (/ 1 (* x (* y (exp z)))))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ 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 #s(literal 1 binary64) y) (fma.f64 (/.f64 z y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) |
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))) |
(+.f64 (fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)) x) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(/ 1 (* y (exp z))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (+ (* x y) (/ 1 (exp z))) y) |
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y) |
(/ (+ (* x y) (/ 1 (exp z))) y) |
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y) |
(/ (+ (* x y) (/ 1 (exp z))) y) |
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y) |
x |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
x |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
y |
(+ y (* y z)) |
(fma.f64 y z y) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
1 |
#s(literal 1 binary64) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(/ 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 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)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ 1 y))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* y (+ x (/ 1 y))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* y (+ x (/ 1 y))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(fma.f64 y x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ 1 x))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x (+ y (/ 1 x))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x (+ y (/ 1 x))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)) |
(* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)) |
(* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)) |
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y) |
(/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y) |
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)) |
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(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(- (/ 1 y) x) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(- (/ 1 y) x) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* -1 x) |
(neg.f64 x) |
(- (/ 1 y) x) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(- (/ 1 y) x) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(- (/ 1 y) x) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 x) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ (* -1 x) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ (* -1 x) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 (* x y)) 1)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (- (/ 1 (* x y)) 1)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (- (/ 1 (* x y)) 1)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 (* x y))))) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- 1 (/ 1 (* x y))))) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- 1 (/ 1 (* x y))))) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y (*.f64 x (neg.f64 x))) #s(literal 1 binary64)) (*.f64 y y)) |
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y (*.f64 x (neg.f64 x))) #s(literal 1 binary64)) (*.f64 y y)) |
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y (*.f64 x (neg.f64 x))) #s(literal 1 binary64)) (*.f64 y y)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ (* -1 (pow x 2)) (/ 1 (pow y 2))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(+ (* -1 (pow x 2)) (/ 1 (pow y 2))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(+ (* -1 (pow x 2)) (/ 1 (pow y 2))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
Compiled 28 969 to 2 832 computations (90.2% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 164 | 13 | 1 177 |
| Fresh | 1 | 12 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 168 | 29 | 1 197 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 26.5% | (fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
| 61.9% | (fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) | |
| ▶ | 21.1% | (/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y)) |
| 39.0% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) | |
| 49.6% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) y) | |
| 29.2% | (/.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| 8.1% | (/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) | |
| 36.7% | (/.f64 (*.f64 y x) y) | |
| 42.1% | (/.f64 (exp.f64 (neg.f64 z)) y) | |
| ▶ | 3.2% | (/.f64 z (neg.f64 y)) |
| 29.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x (neg.f64 x)))) | |
| 29.4% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) | |
| 51.0% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))))) | |
| ✓ | 39.8% | (/.f64 #s(literal 1 binary64) y) |
| 68.5% | (-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) | |
| 68.2% | (-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) | |
| ✓ | 82.7% | (+.f64 (/.f64 #s(literal 1 binary64) y) x) |
| 66.9% | (+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) | |
| 69.1% | (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) | |
| 75.9% | (+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) | |
| 76.0% | (+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y))) | |
| 74.9% | (+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y))) | |
| ✓ | 87.3% | (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) |
| ▶ | 83.1% | (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))))) |
| 69.8% | (*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) | |
| ▶ | 4.8% | (*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) |
| 9.4% | (*.f64 z (/.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y) y)) | |
| 3.2% | (*.f64 z (/.f64 #s(literal -1 binary64) y)) | |
| ✓ | 49.6% | x |
Compiled 807 to 502 computations (37.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | cost-diff | 0 | (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) |
| ✓ | cost-diff | 768 | (fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 z (neg.f64 y)) |
| ✓ | cost-diff | 0 | (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)) |
| ✓ | cost-diff | 0 | (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))))) |
| 12 402× | accelerator-lowering-fma.f32 |
| 12 402× | accelerator-lowering-fma.f64 |
| 3 388× | *-lowering-*.f32 |
| 3 388× | *-lowering-*.f64 |
| 1 904× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 196 |
| 1 | 83 | 196 |
| 2 | 176 | 196 |
| 3 | 356 | 196 |
| 4 | 637 | 196 |
| 5 | 1363 | 196 |
| 6 | 2867 | 192 |
| 7 | 5773 | 192 |
| 8 | 7661 | 192 |
| 0 | 8082 | 179 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y))))) |
x |
(/ 1 (* y (pow (/ y (+ y z)) (neg y)))) |
1 |
(* y (pow (/ y (+ y z)) (neg y))) |
y |
(pow (/ y (+ y z)) (neg y)) |
(/ y (+ y z)) |
(+ y z) |
z |
(neg y) |
(/ z (neg y)) |
z |
(neg y) |
y |
(* z (/ (+ (* z 1/2) -1) y)) |
z |
(/ (+ (* z 1/2) -1) y) |
(+ (* z 1/2) -1) |
1/2 |
-1 |
y |
(/ (+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) (* y y)) |
(+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) |
z |
(+ (* z (+ (* y 1/2) 1/2)) (neg y)) |
(+ (* y 1/2) 1/2) |
y |
1/2 |
(neg y) |
(* y y) |
(+ (* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) (/ 1 y)) |
z |
(/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y) |
(+ (* z (+ 1/2 (/ 1/2 y))) -1) |
(+ 1/2 (/ 1/2 y)) |
1/2 |
(/ 1/2 y) |
y |
-1 |
(/ 1 y) |
1 |
| Outputs |
|---|
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))))) |
x |
(/ 1 (* y (pow (/ y (+ y z)) (neg y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))) |
1 |
#s(literal 1 binary64) |
(* y (pow (/ y (+ y z)) (neg y))) |
(*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) |
y |
(pow (/ y (+ y z)) (neg y)) |
(pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)) |
(/ y (+ y z)) |
(/.f64 y (+.f64 y z)) |
(+ y z) |
(+.f64 y z) |
z |
(neg y) |
(neg.f64 y) |
(/ z (neg y)) |
(neg.f64 (/.f64 z y)) |
z |
(neg y) |
(neg.f64 y) |
y |
(* z (/ (+ (* z 1/2) -1) y)) |
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) |
z |
(/ (+ (* z 1/2) -1) y) |
(/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(+ (* z 1/2) -1) |
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
-1 |
#s(literal -1 binary64) |
y |
(/ (+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) (* y y)) |
(/.f64 (-.f64 y (*.f64 z (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))) (*.f64 y y)) |
(+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) |
(-.f64 y (*.f64 z (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))) |
z |
(+ (* z (+ (* y 1/2) 1/2)) (neg y)) |
(-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) |
(+ (* y 1/2) 1/2) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
y |
1/2 |
#s(literal 1/2 binary64) |
(neg y) |
(neg.f64 y) |
(* y y) |
(*.f64 y y) |
(+ (* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) (/ 1 y)) |
(/.f64 (-.f64 y (*.f64 z (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))) (*.f64 y y)) |
z |
(/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y) |
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) |
(+ (* z (+ 1/2 (/ 1/2 y))) -1) |
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
(+ 1/2 (/ 1/2 y)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
y |
-1 |
#s(literal -1 binary64) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) |
| ✓ | accuracy | 100.0% | (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
| ✓ | accuracy | 97.0% | (fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) |
| ✓ | accuracy | 64.2% | (/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y)) |
| ✓ | accuracy | 100.0% | (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
| ✓ | accuracy | 99.8% | (*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) |
| ✓ | accuracy | 100.0% | (/.f64 z (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) |
| ✓ | accuracy | 100.0% | (/.f64 y (+.f64 y z)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))) |
| ✓ | accuracy | 82.8% | (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)) |
| 150.0ms | 112× | 1 | valid |
| 27.0ms | 112× | 0 | valid |
| 16.0ms | 19× | 1 | exit |
| 3.0ms | 13× | 0 | exit |
Compiled 185 to 36 computations (80.5% saved)
ival-pow: 50.0ms (36.9% of total)ival-neg: 26.0ms (19.2% of total)ival-div: 18.0ms (13.3% of total)ival-mult: 18.0ms (13.3% of total)ival-add: 14.0ms (10.3% of total)adjust: 8.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))> |
#<alt (/ 1 (* y (pow (/ y (+ y z)) (neg y))))> |
#<alt (* y (pow (/ y (+ y z)) (neg y)))> |
#<alt (pow (/ y (+ y z)) (neg y))> |
#<alt (/ z (neg y))> |
#<alt (neg y)> |
#<alt (* z (/ (+ (* z 1/2) -1) y))> |
#<alt (/ (+ (* z 1/2) -1) y)> |
#<alt (+ (* z 1/2) -1)> |
#<alt (/ (+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) (* y y))> |
#<alt (+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y)> |
#<alt (+ (* z (+ (* y 1/2) 1/2)) (neg y))> |
#<alt (+ (* y 1/2) 1/2)> |
#<alt (+ (* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) (/ 1 y))> |
#<alt (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)> |
#<alt (+ (* z (+ 1/2 (/ 1/2 y))) -1)> |
#<alt (+ 1/2 (/ 1/2 y))> |
#<alt (/ y (+ y z))> |
| Outputs |
|---|
#<alt (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z))))))))> |
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))> |
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))> |
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))> |
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))> |
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))> |
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))> |
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* y (- x (* -1 (+ (log y) (log (/ 1 z))))))) y)> |
#<alt (/ (+ 1 (* y (- (+ x (* -1 (* y (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)> |
#<alt (/ (+ 1 (* y (- (+ x (* y (- (* y (- (* 1/2 (/ 1 (pow z 2))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* -1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* (+ (log y) (log (/ 1 z))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (* (+ (log y) (log (/ 1 z))) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)> |
#<alt x> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (+ (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z)))) (/ 1 (* y (exp z)))))> |
#<alt (- (+ x (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))) (pow y 3))) (/ 1 (* y (exp z))))) (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z)))))> |
#<alt x> |
#<alt (+ x (/ 1 (* y (exp z))))> |
#<alt (+ x (* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) 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 (/ (- 1/2 (* 1/2 (/ 1 y))) y)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 y))))))) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))> |
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))> |
#<alt (+ x (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))))> |
#<alt (- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (pow z 2))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))> |
#<alt (- (+ x (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (+ (* -1 (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/6 (/ (pow y 5) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (pow z 3))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (+ (* -1 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* 1/2 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))))))> |
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))> |
#<alt (+ x (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))> |
#<alt (+ x (+ (* -1 (/ (- (+ (* -1 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (* 1/2 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) (* -1 (/ y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))> |
#<alt (+ x (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* -1/6 (/ (pow y 5) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* 1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (/ (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) z))))) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) z)) (* -1 (/ y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)> |
#<alt (/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)> |
#<alt (/ (+ 1 (* y (- (* y (- (* y (- (* 1/2 (/ 1 (pow z 2))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* -1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* (+ (log y) (log (/ 1 z))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (* (+ (log y) (log (/ 1 z))) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (/ (+ (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))) (pow y 2))) (/ 1 (exp z))) (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z))))) y)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (exp z))) (+ (* -1/48 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3) (exp z))) (+ (* 1/12 (/ (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (exp z))) (+ (* 1/2 (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))))) (* 1/2 (/ (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -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 z))))))) (pow y 3))) (/ 1 (exp z))) (+ (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (* (pow y 2) (exp z)))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (* (pow y 2) (exp z)))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (* (pow y 2) (exp z)))))))) y)> |
#<alt (/ 1 (* y (exp z)))> |
#<alt (* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) y))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))))) (+ (* -1/2 (/ (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 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))))))) (exp z))) (+ (* 1/48 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3) (exp z))) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (exp z))) (* 1/12 (/ (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (exp z))))))) y)) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z)))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) 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 (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* z (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 y))) y)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))))))))) (/ 1 y))) (/ 1 y))> |
#<alt (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))> |
#<alt (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (pow z 2))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (+ (* -1 (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/6 (/ (pow y 5) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (pow z 3))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* -1 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* 1/2 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))))))> |
#<alt (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))> |
#<alt (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (* 1/2 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) (* -1 (/ y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* -1/6 (/ (pow y 5) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* 1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (/ (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) z))))) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) z)) (* -1 (/ y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))> |
#<alt y> |
#<alt (* y (+ 1 (* -1 (* y (+ (log y) (log (/ 1 z)))))))> |
#<alt (* y (+ 1 (* y (+ (* -1 (+ (log y) (log (/ 1 z)))) (* y (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))> |
#<alt (* y (+ 1 (* y (+ (* -1 (+ (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 (* y (exp z))> |
#<alt (* y (+ (exp z) (* -1/2 (/ (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))))> |
#<alt (* y (+ (exp z) (+ (* -1/2 (/ (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp 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)))) (pow y 2)))))> |
#<alt (* y (+ (exp z) (+ (* -1/2 (/ (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp 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)))) (pow y 2)) (/ (* (exp 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)))))))) (pow y 3))))))> |
#<alt (* y (exp z))> |
#<alt (* -1 (* y (+ (* -1 (exp z)) (* 1/2 (/ (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))))> |
#<alt (* -1 (* y (+ (* -1 (exp z)) (* -1 (/ (+ (* -1/2 (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp 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))))))) y)) y)))))> |
#<alt (* -1 (* y (+ (* -1 (exp z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp 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)))))))) (/ (* (exp 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)))))))) y)) y)) (* -1/2 (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))))> |
#<alt y> |
#<alt (+ y (* y z))> |
#<alt (+ y (* z (+ y (* y (* z (- 1/2 (* 1/2 (/ 1 y))))))))> |
#<alt (+ y (* z (+ y (* z (+ (* y (* z (- (+ 1/6 (* 1/3 (/ 1 (pow y 2)))) (* 1/2 (/ 1 y))))) (* y (- 1/2 (* 1/2 (/ 1 y)))))))))> |
#<alt (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))> |
#<alt (+ (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))) (/ (* (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))) z))> |
#<alt (+ (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))) (+ (/ (* y (* (exp (* -1 (* 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)) (/ (* (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))) z)))> |
#<alt (+ (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))) (+ (/ (* y (* (exp (* -1 (* 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)) (+ (/ (* y (* (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/6 (pow y 6)))))) (pow z 3)) (/ (* (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))) z))))> |
#<alt (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))> |
#<alt (+ (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))) (/ (* (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))> |
#<alt (+ (* -1 (/ (+ (* -1 (* (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* -1 (/ (* y (* (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z))) z)) (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (* (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* -1 (/ (+ (* -1 (/ (* y (* (exp (* -1 (* 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)) (* y (* (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))))) z))) z)) (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y (+ (log y) (log (/ 1 z))))))> |
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#<alt (exp z)> |
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#<alt (+ (exp z) (+ (* -1/2 (/ (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp 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)))) (pow y 2)) (/ (* (exp 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)))))))) (pow y 3)))))> |
#<alt (exp z)> |
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#<alt (+ (exp z) (* -1 (/ (+ (* -1 (/ (* (exp 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))))))) y)) (* 1/2 (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))> |
#<alt (+ (exp z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp 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)))))))) y)) (* (exp 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)))))))) y)) (* 1/2 (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))> |
#<alt 1> |
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#<alt (+ (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))) (+ (/ (* (exp (* -1 (* 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 (* -1 (* y (+ (log y) (log (/ 1 z)))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/6 (pow y 6))))) (pow z 3)) (/ (* (pow y 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))) z))))> |
#<alt (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))> |
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#<alt (+ (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* 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 (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z))) z)))> |
#<alt (* -1 (/ z y))> |
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#<alt (* -1 (/ z y))> |
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#<alt (* -1 (/ z y))> |
#<alt (* -1 y)> |
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#<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)> |
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#<alt (* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))> |
#<alt (* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ (* z (- (* 1/2 z) 1)) y)> |
#<alt (/ -1 y)> |
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#<alt (* z (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))> |
#<alt (* z (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))> |
#<alt (* 1/2 (/ z y))> |
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#<alt (* -1 (* z (- (/ 1 (* y z)) (* 1/2 (/ 1 y)))))> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt -1> |
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#<alt (/ 1 y)> |
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#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 y))) (pow y 2))> |
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#<alt (* (pow z 2) (- (+ (/ 1/2 y) (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))))> |
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#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 y))) (pow y 2))> |
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#<alt (* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (/ 1/2 y) (* 1/2 (/ 1 (pow y 2))))))> |
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#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)> |
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#<alt (/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)> |
#<alt (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y))> |
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#<alt y> |
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#<alt (* -1 y)> |
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#<alt (- (* z (+ 1/2 (* 1/2 y))) y)> |
#<alt (- (* z (+ 1/2 (* 1/2 y))) y)> |
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#<alt (* z (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y))))> |
#<alt (* z (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y))))> |
#<alt (* z (+ 1/2 (* 1/2 y)))> |
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 y))) (/ y z))))> |
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 y))) (/ y z))))> |
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 y))) (/ y z))))> |
#<alt (* 1/2 z)> |
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#<alt (+ (* 1/2 z) (* y (- (* 1/2 z) 1)))> |
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#<alt (* -1 (* y (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y))))))> |
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#<alt 1/2> |
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#<alt (+ 1/2 (* 1/2 y))> |
#<alt (+ 1/2 (* 1/2 y))> |
#<alt (* 1/2 y)> |
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#<alt (* y (+ 1/2 (* 1/2 (/ 1 y))))> |
#<alt (* y (+ 1/2 (* 1/2 (/ 1 y))))> |
#<alt (* 1/2 y)> |
#<alt (* y (+ 1/2 (* 1/2 (/ 1 y))))> |
#<alt (* y (+ 1/2 (* 1/2 (/ 1 y))))> |
#<alt (* y (+ 1/2 (* 1/2 (/ 1 y))))> |
#<alt (/ 1 y)> |
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#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))> |
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#<alt (* 1/2 (/ (pow z 2) (pow y 2)))> |
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#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))> |
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)> |
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#<alt (/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)> |
#<alt (* -1 (/ (- (* -1 (* z (- (* 1/2 z) 1))) 1) y))> |
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#<alt (/ -1 y)> |
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#<alt (/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y)> |
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#<alt (* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y)> |
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#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))> |
#<alt (* 1/2 (/ z (pow y 2)))> |
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#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)> |
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)> |
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)> |
#<alt (/ (- (* 1/2 z) 1) y)> |
#<alt (* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))> |
#<alt (* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))> |
#<alt (* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))> |
#<alt -1> |
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)> |
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)> |
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)> |
#<alt (* z (+ 1/2 (* 1/2 (/ 1 y))))> |
#<alt (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))> |
#<alt (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))> |
#<alt (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))> |
#<alt (* z (+ 1/2 (* 1/2 (/ 1 y))))> |
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))> |
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))> |
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))> |
#<alt (* 1/2 (/ z y))> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)> |
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)> |
#<alt (- (* 1/2 z) 1)> |
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)> |
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)> |
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)> |
#<alt (- (* 1/2 z) 1)> |
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)> |
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)> |
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)> |
#<alt (/ 1/2 y)> |
#<alt (/ (+ 1/2 (* 1/2 y)) y)> |
#<alt (/ (+ 1/2 (* 1/2 y)) y)> |
#<alt (/ (+ 1/2 (* 1/2 y)) y)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 y)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 y)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 y)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 y)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 y)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 y)))> |
#<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))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | z | @ | -inf | (/ (+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) (* y y)) |
| 11.0ms | y | @ | inf | (* z (/ (+ (* z 1/2) -1) y)) |
| 3.0ms | z | @ | -inf | (+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y))))) |
| 3.0ms | z | @ | inf | (+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y))))) |
| 1.0ms | y | @ | 0 | (+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y))))) |
| 1× | batch-egg-rewrite |
| 4 892× | /-lowering-/.f32 |
| 4 892× | /-lowering-/.f64 |
| 4 552× | *-lowering-*.f32 |
| 4 552× | *-lowering-*.f64 |
| 3 974× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 162 |
| 1 | 245 | 159 |
| 2 | 2187 | 154 |
| 0 | 8633 | 141 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y))))) |
(/ 1 (* y (pow (/ y (+ y z)) (neg y)))) |
(* y (pow (/ y (+ y z)) (neg y))) |
(pow (/ y (+ y z)) (neg y)) |
(/ z (neg y)) |
(neg y) |
(* z (/ (+ (* z 1/2) -1) y)) |
(/ (+ (* z 1/2) -1) y) |
(+ (* z 1/2) -1) |
(/ (+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) (* y y)) |
(+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) |
(+ (* z (+ (* y 1/2) 1/2)) (neg y)) |
(+ (* y 1/2) 1/2) |
(+ (* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) (/ 1 y)) |
(/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y) |
(+ (* z (+ 1/2 (/ 1/2 y))) -1) |
(+ 1/2 (/ 1/2 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))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) 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 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) |
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 1 binary64) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 (+.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 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y z) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (pow.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (+.f64 y z) y)) x) |
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) x) |
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) y) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) x) |
(fma.f64 (pow.f64 (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)) #s(literal -1/2 binary64)) x) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (pow.f64 (/.f64 y (+.f64 y z)) y) x) |
(fma.f64 (pow.f64 (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y (neg.f64 y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (+.f64 y z) y)) x) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y (neg.f64 y))) (pow.f64 (+.f64 y z) (neg.f64 y)) x) |
(fma.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y z) y) y)) x) |
(fma.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) x) |
(fma.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y (neg.f64 y))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (+.f64 y z) y)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (-.f64 (*.f64 x x) (*.f64 (/.f64 x y) (pow.f64 (/.f64 y (+.f64 y z)) y))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y)))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64))))))) (neg.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64))))))) (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (-.f64 (*.f64 x x) (*.f64 (/.f64 x y) (pow.f64 (/.f64 y (+.f64 y z)) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))))) (neg.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (*.f64 x x)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) |
(/.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 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) 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 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y)))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y))))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) (*.f64 (neg.f64 y) (log.f64 (/.f64 y (+.f64 y z)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 y) (pow.f64 (/.f64 (+.f64 y z) y) y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (pow.f64 (/.f64 (+.f64 y z) y) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (pow.f64 (/.f64 (+.f64 y z) y) y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (+.f64 y z) y) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 y z) y) y)))) |
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 (+.f64 y z) y) y))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (neg.f64 y)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))))) (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))))) |
(pow.f64 (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 y) (pow.f64 (/.f64 (+.f64 y z) y) y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
(*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 (+.f64 y z) y) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y z) y) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y)) |
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(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) y) #s(literal 1/4 binary64)) y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) y) #s(literal 1/4 binary64)) y)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) y) #s(literal 1/4 binary64)) y)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(exp.f64 (log.f64 (/.f64 y (+.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y z) y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y z))) (/.f64 (neg.f64 y) (+.f64 y z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y z)) (/.f64 (neg.f64 y) (+.f64 y z))) |
(neg.f64 (/.f64 (neg.f64 y) (+.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y z) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 y z) y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 y z) y)))) |
(/.f64 y (+.f64 y z)) |
(/.f64 y (neg.f64 (neg.f64 (+.f64 y z)))) |
(/.f64 y (exp.f64 (log.f64 (+.f64 y z)))) |
(/.f64 (neg.f64 y) (neg.f64 (+.f64 y z))) |
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 (+.f64 y z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y z) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 y z) y) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (neg.f64 (+.f64 y z))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y z))) (*.f64 (neg.f64 (+.f64 y z)) y)) (*.f64 (neg.f64 (+.f64 y z)) (neg.f64 (+.f64 y z)))) |
(pow.f64 (/.f64 (+.f64 y z) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 y z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y z))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y z))) |
(*.f64 y (exp.f64 (neg.f64 (log.f64 (+.f64 y z))))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y z)))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y z))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (+.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (-.f64 y z))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y))))) |
(*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 y z))) (-.f64 y z)) |
(*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 y z) (-.f64 y z))) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
| 1× | egg-herbie |
| 10 226× | accelerator-lowering-fma.f32 |
| 10 226× | accelerator-lowering-fma.f64 |
| 6 672× | *-lowering-*.f32 |
| 6 672× | *-lowering-*.f64 |
| 5 782× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 833 | 8018 |
| 1 | 2699 | 7122 |
| 0 | 8531 | 6745 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))) |
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z))))))))) |
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z))))))))) |
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z))))))))) |
x |
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z))))))))))) |
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z))))))))))) |
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z))))))))))) |
x |
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z))))))))))) |
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z))))))))))) |
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z))))))))))) |
(/ 1 y) |
(/ (+ 1 (* y (- x (* -1 (+ (log y) (log (/ 1 z))))))) y) |
(/ (+ 1 (* y (- (+ x (* -1 (* y (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y) |
(/ (+ 1 (* y (- (+ x (* y (- (* y (- (* 1/2 (/ 1 (pow z 2))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* -1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* (+ (log y) (log (/ 1 z))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (* (+ (log y) (log (/ 1 z))) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y) |
x |
(+ x (/ 1 (* y (exp z)))) |
(+ x (+ (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z)))) (/ 1 (* y (exp z))))) |
(- (+ x (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))) (pow y 3))) (/ 1 (* y (exp z))))) (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z))))) |
x |
(+ x (/ 1 (* y (exp z)))) |
(+ x (* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) y))) |
(+ x (/ 1 y)) |
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(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
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(+ x (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) |
(+ x (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) |
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(+ x (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) |
(+ x (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))) |
(+ x (+ (* -1 (/ (- (+ (* -1 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (* 1/2 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) (* -1 (/ y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))) |
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(/ 1 y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))) (* -1 (+ (log y) (log (/ 1 z))))))) y) |
(/ (+ 1 (* y (- (* y (- (* y (- (* 1/2 (/ 1 (pow z 2))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* -1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* (+ (log y) (log (/ 1 z))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (* (+ (log y) (log (/ 1 z))) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))) (* -1 (+ (log y) (log (/ 1 z))))))) y) |
(/ 1 (* y (exp z))) |
(/ (+ (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))) (pow y 2))) (/ 1 (exp z))) (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z))))) y) |
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(/ 1 (* y (exp z))) |
(* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) y)) |
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(/ 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 (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* z (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 y))) y)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))))))))) (/ 1 y))) (/ 1 y)) |
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y |
(* y (+ 1 (* -1 (* y (+ (log y) (log (/ 1 z))))))) |
(* y (+ 1 (* y (+ (* -1 (+ (log y) (log (/ 1 z)))) (* y (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
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(* y (exp z)) |
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y |
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1 |
(+ 1 (* -1 (* y (+ (log y) (log (/ 1 z)))))) |
(+ 1 (* y (+ (* -1 (+ (log y) (log (/ 1 z)))) (* y (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) |
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(exp z) |
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(exp z) |
(+ (exp z) (* -1/2 (/ (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp z) (* -1 (/ (+ (* -1 (/ (* (exp 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))))))) y)) (* 1/2 (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp 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)))))))) y)) (* (exp 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)))))))) y)) (* 1/2 (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
1 |
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(exp (* -1 (* y (+ (log y) (log (/ 1 z)))))) |
(+ (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))) (/ (* (pow y 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))) z)) |
(+ (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))) (+ (/ (* (exp (* -1 (* 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)) (/ (* (pow y 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))) z))) |
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(exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(+ (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (/ (* (pow y 2) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) |
(+ (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* -1 (/ (* (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z))) z))) |
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(* -1 (/ z y)) |
(* -1 (/ z y)) |
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(* -1 y) |
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(* -1 y) |
(* -1 y) |
(* -1 y) |
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(* z (- (* 1/2 (/ z y)) (/ 1 y))) |
(* 1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z)))) |
(* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z)))) |
(* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z)))) |
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(* 1/2 (/ z y)) |
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(/ (- (* 1/2 z) 1) y) |
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(/ (- (* 1/2 z) 1) y) |
(/ (- (* 1/2 z) 1) y) |
(/ (- (* 1/2 z) 1) y) |
-1 |
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(* z (+ 1/2 (* 1/2 y))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 y))) (/ y z)))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 y))) (/ y z)))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 y))) (/ y z)))) |
(* 1/2 z) |
(+ (* 1/2 z) (* y (- (* 1/2 z) 1))) |
(+ (* 1/2 z) (* y (- (* 1/2 z) 1))) |
(+ (* 1/2 z) (* y (- (* 1/2 z) 1))) |
(* y (- (* 1/2 z) 1)) |
(* y (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)) |
(* y (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)) |
(* y (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)) |
(* -1 (* y (+ 1 (* -1/2 z)))) |
(* -1 (* y (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))))) |
(* -1 (* y (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))))) |
(* -1 (* y (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))))) |
1/2 |
(+ 1/2 (* 1/2 y)) |
(+ 1/2 (* 1/2 y)) |
(+ 1/2 (* 1/2 y)) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ 1 y)))) |
(* y (+ 1/2 (* 1/2 (/ 1 y)))) |
(* y (+ 1/2 (* 1/2 (/ 1 y)))) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ 1 y)))) |
(* y (+ 1/2 (* 1/2 (/ 1 y)))) |
(* y (+ 1/2 (* 1/2 (/ 1 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 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))) |
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) |
(* 1/2 (/ (pow z 2) (pow y 2))) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y) |
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y) |
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y) |
(* -1 (/ (- (* -1 (* z (- (* 1/2 z) 1))) 1) y)) |
(* -1 (/ (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1) y)) |
(* -1 (/ (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1) y)) |
(* -1 (/ (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1) y)) |
(/ -1 y) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y) |
(* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z)))) |
(/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z))))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z))))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z))))) |
(* 1/2 (/ z (pow y 2))) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/ (- (* 1/2 z) 1) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y) |
(/ (- (* 1/2 z) 1) y) |
(* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y)) |
(* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y)) |
(* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y)) |
-1 |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(* z (+ 1/2 (* 1/2 (/ 1 y)))) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* z (+ 1/2 (* 1/2 (/ 1 y)))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(* 1/2 (/ z y)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(- (* 1/2 z) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(- (* 1/2 z) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(/ 1/2 y) |
(/ (+ 1/2 (* 1/2 y)) y) |
(/ (+ 1/2 (* 1/2 y)) y) |
(/ (+ 1/2 (* 1/2 y)) y) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(/ 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 |
|---|
(/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) |
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z))))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x) |
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z))))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x) |
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z))))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x) |
x |
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z))))))))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))) (*.f64 y x))) x) |
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z))))))))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))) (*.f64 y x))) x) |
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z))))))))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))) (*.f64 y x))) x) |
x |
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z))))))))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))) (*.f64 y x))) x) |
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z))))))))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))) (*.f64 y x))) x) |
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z))))))))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))) (*.f64 y x))) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (- x (* -1 (+ (log y) (log (/ 1 z))))))) y) |
(/.f64 (fma.f64 y (+.f64 x (-.f64 (log.f64 y) (log.f64 z))) #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (- (+ x (* -1 (* y (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y) |
(/.f64 (fma.f64 y (+.f64 x (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (-.f64 (log.f64 y) (log.f64 z)))) #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (- (+ x (* y (- (* y (- (* 1/2 (/ 1 (pow z 2))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* -1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* (+ (log y) (log (/ 1 z))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (* (+ (log y) (log (/ 1 z))) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y) |
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 z))))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z)))) (+.f64 x (-.f64 (log.f64 y) (log.f64 z)))) #s(literal 1 binary64)) y) |
x |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)))) |
(+ x (+ (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z)))) (/ 1 (* y (exp z))))) |
(+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (exp.f64 z)))) (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))))) |
(- (+ x (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))) (pow y 3))) (/ 1 (* y (exp z))))) (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z))))) |
(+.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (exp.f64 z)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -2 binary64)))) (exp.f64 z))) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (exp.f64 z)))) (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))))) |
x |
(+ x (/ 1 (* y (exp z)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)))) |
(+ x (* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y))) |
(-.f64 x (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) (*.f64 y (exp.f64 z))) (exp.f64 (neg.f64 z))) y)) |
(+ x (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) y))) |
(-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (exp.f64 z)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (exp.f64 z)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z)))) (exp.f64 z))) y)) (neg.f64 y)) (exp.f64 (neg.f64 z))) y)) |
(+ 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) y) (/.f64 z y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 z (fma.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)) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(+ x (+ (* z (- (* z (+ (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 y))) y)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 y))))))) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 z (+.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 z) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) x)) |
(+ x (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y)))))) |
(+ x (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y)))))) |
(- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (pow z 2))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) |
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(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
(* z (+ 1/2 (* 1/2 (/ 1 y)))) |
(*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(*.f64 z (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) z)))) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(*.f64 z (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) z)))) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(*.f64 z (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) z)))) |
(* z (+ 1/2 (* 1/2 (/ 1 y)))) |
(*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(neg.f64 (fma.f64 z (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(neg.f64 (fma.f64 z (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(neg.f64 (fma.f64 z (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(* 1/2 (/ z y)) |
(/.f64 (*.f64 z #s(literal 1/2 binary64)) y) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(/.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(/.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(/.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) |
(- (* 1/2 z) 1) |
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) |
(- (* 1/2 z) 1) |
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* 1/2 y)) y) |
(/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(/ (+ 1/2 (* 1/2 y)) y) |
(/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(/ (+ 1/2 (* 1/2 y)) y) |
(/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(/ 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 (fma.f64 y (+.f64 (/.f64 y (*.f64 z (*.f64 z z))) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 y (fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) 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 (/.f64 (*.f64 z z) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 z y))) |
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 z y) (/.f64 (*.f64 z z) (*.f64 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 (neg.f64 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 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) y)) (*.f64 z z)) (neg.f64 y)) z) 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)))) |
(fma.f64 z (+.f64 (/.f64 z (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/ 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 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z z)) (-.f64 y (/.f64 (*.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 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (*.f64 z z)))) (-.f64 (/.f64 (*.f64 y y) z) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z z)))) z) |
(/ y z) |
(/.f64 y z) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(/.f64 (-.f64 (/.f64 (*.f64 y y) z) y) (neg.f64 z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) z) (*.f64 y y)) (neg.f64 z)) y) (neg.f64 z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
(/.f64 (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 y (*.f64 y y))) (neg.f64 z)) (*.f64 y y)) z)) (neg.f64 z)) |
Compiled 36 196 to 4 120 computations (88.6% saved)
31 alts after pruning (25 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 299 | 13 | 1 312 |
| Fresh | 8 | 12 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 310 | 31 | 1 341 |
| Status | Accuracy | Program |
|---|---|---|
| 18.7% | (fma.f64 z (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) | |
| 61.9% | (fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) | |
| 17.9% | (/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) y) (*.f64 y y)) | |
| 34.1% | (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) | |
| 20.0% | (/.f64 (fma.f64 z (/.f64 (*.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) y) (*.f64 y y)) | |
| 39.0% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) | |
| 37.6% | (/.f64 (/.f64 (fma.f64 z (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) y) y) | |
| 29.2% | (/.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| 4.8% | (/.f64 (*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y y)) | |
| 8.0% | (/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) | |
| 36.7% | (/.f64 (*.f64 y x) y) | |
| 42.1% | (/.f64 (exp.f64 (neg.f64 z)) y) | |
| 4.8% | (/.f64 z (/.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) | |
| ✓ | 3.2% | (/.f64 z (neg.f64 y)) |
| 29.4% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) | |
| ✓ | 39.8% | (/.f64 #s(literal 1 binary64) y) |
| 68.2% | (-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) | |
| ✓ | 82.7% | (+.f64 (/.f64 #s(literal 1 binary64) y) x) |
| 69.1% | (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) | |
| 75.9% | (+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) | |
| 76.0% | (+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y))) | |
| 74.9% | (+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y))) | |
| ✓ | 87.3% | (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) |
| 53.9% | (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y z) (neg.f64 y))))) | |
| 4.8% | (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) z)) | |
| 69.8% | (*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) | |
| 3.2% | (*.f64 (/.f64 #s(literal -1 binary64) y) z) | |
| 8.1% | (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)) | |
| ✓ | 4.8% | (*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) |
| 4.8% | (*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)) | |
| ✓ | 49.6% | x |
Compiled 1 079 to 463 computations (57.1% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 z (neg.f64 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(*.f64 z (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) z) |
(/.f64 (*.f64 y x) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y))) |
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)) |
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) |
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.f64 z (/.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y))) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y y)) |
(*.f64 (/.f64 z y) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)) |
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (/.f64 (fma.f64 z (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x (neg.f64 x)))) |
(*.f64 z (/.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y) y)) |
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 z (fma.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)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 z (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) y) (*.f64 y y)) |
(/.f64 (fma.f64 z (/.f64 (*.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) y) (*.f64 y y)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) y) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) |
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y z) (neg.f64 y))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))))) |
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
5 calls:
| 17.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 15.0ms | y |
| 15.0ms | z |
| 14.0ms | x |
| 14.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 2 | x |
| 99.7% | 3 | y |
| 93.4% | 3 | z |
| 90.3% | 2 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 94.8% | 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 z (neg.f64 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(*.f64 z (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) z) |
(/.f64 (*.f64 y x) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y))) |
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)) |
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) |
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.f64 z (/.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y))) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y y)) |
(*.f64 (/.f64 z y) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)) |
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (/.f64 (fma.f64 z (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x (neg.f64 x)))) |
(*.f64 z (/.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y) y)) |
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 z (fma.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)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 z (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) y) (*.f64 y y)) |
(/.f64 (fma.f64 z (/.f64 (*.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) y) (*.f64 y y)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) y) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
1 calls:
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 z (neg.f64 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(*.f64 z (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) z) |
(/.f64 (*.f64 y x) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y))) |
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)) |
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) |
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.f64 z (/.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y))) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y y)) |
(*.f64 (/.f64 z y) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)) |
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (/.f64 (fma.f64 z (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x (neg.f64 x)))) |
(*.f64 z (/.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y) y)) |
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 z (fma.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)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 z (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) y) (*.f64 y y)) |
(/.f64 (fma.f64 z (/.f64 (*.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) y) (*.f64 y y)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) y) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))))) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
| Outputs |
|---|
(/.f64 (exp.f64 (neg.f64 z)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
5 calls:
| 15.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 14.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 13.0ms | y |
| 13.0ms | z |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 1 | x |
| 82.7% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 88.6% | 2 | z |
| 82.7% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 86.9% | 3 | y |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 z (neg.f64 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(*.f64 z (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) z) |
(/.f64 (*.f64 y x) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y))) |
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)) |
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) |
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.f64 z (/.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y))) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y y)) |
(*.f64 (/.f64 z y) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)) |
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (/.f64 (fma.f64 z (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x (neg.f64 x)))) |
(*.f64 z (/.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y) y)) |
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 z (fma.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)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 z (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) y) (*.f64 y y)) |
(/.f64 (fma.f64 z (/.f64 (*.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) y) (*.f64 y y)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) y) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))))) |
| Outputs |
|---|
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
1 calls:
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 2 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 z (neg.f64 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(*.f64 z (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) z) |
(/.f64 (*.f64 y x) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y))) |
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)) |
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) |
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.f64 z (/.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y))) |
| Outputs |
|---|
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 2 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 z (neg.f64 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(*.f64 z (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) z) |
(/.f64 (*.f64 y x) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y))) |
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y))) |
2 calls:
| 4.0ms | y |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 2 | y |
| 82.7% | 1 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 z (neg.f64 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(*.f64 z (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) z) |
(/.f64 (*.f64 y x) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
2 calls:
| 6.0ms | z |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 1 | z |
| 82.7% | 1 | y |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 z (neg.f64 y)) |
| Outputs |
|---|
x |
(/.f64 #s(literal 1 binary64) y) |
x |
5 calls:
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 2.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.3% | 3 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 66.6% | 3 | x |
| 51.6% | 2 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 71.8% | 3 | y |
| 54.1% | 2 | z |
Compiled 42 to 28 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
5 calls:
| 1.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 1.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 49.6% | 1 | z |
| 49.6% | 1 | x |
| 49.6% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 49.6% | 1 | y |
Compiled 42 to 28 computations (33.3% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 2.961181484269637e-19 | 1.4980530343876523e-8 |
| 21.0ms | -9.664590310487868e+47 | -4.05195969761247e+47 |
| 11.0ms | 42× | 1 | valid |
| 8.0ms | 70× | 0 | valid |
| 1.0ms | 20× | 0 | invalid |
Compiled 164 to 126 computations (23.2% saved)
ival-log: 5.0ms (30.9% of total)ival-exp: 4.0ms (24.7% of total)ival-add: 2.0ms (12.3% of total)ival-div: 2.0ms (12.3% of total)adjust: 1.0ms (6.2% of total)ival-mult: 1.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.961181484269637e-19 | 1.4980530343876523e-8 |
| 21.0ms | -9.664590310487868e+47 | -4.05195969761247e+47 |
| 16.0ms | 166× | 0 | valid |
| 11.0ms | 42× | 1 | valid |
| 3.0ms | 47× | 0 | invalid |
Compiled 279 to 211 computations (24.4% saved)
ival-div: 7.0ms (30.8% of total)ival-log: 7.0ms (30.8% of total)ival-add: 3.0ms (13.2% of total)ival-exp: 3.0ms (13.2% of total)ival-mult: 2.0ms (8.8% of total)adjust: 1.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | -1462.0427171546235 | -9.754492884148249e-5 |
| 33.0ms | 102× | 1 | valid |
| 3.0ms | 42× | 0 | valid |
| 3.0ms | 41× | 0 | invalid |
Compiled 181 to 142 computations (21.5% saved)
ival-log: 15.0ms (48.7% of total)ival-exp: 5.0ms (16.2% of total)ival-div: 4.0ms (13% of total)ival-add: 3.0ms (9.7% of total)adjust: 2.0ms (6.5% of total)ival-mult: 2.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | -1.189379281048973e+107 | -1.0246084724770448e+104 |
| 22.0ms | 70× | 1 | valid |
| 5.0ms | 58× | 0 | valid |
| 3.0ms | 45× | 0 | invalid |
Compiled 235 to 176 computations (25.1% saved)
ival-log: 10.0ms (41.5% of total)ival-add: 6.0ms (24.9% of total)ival-div: 3.0ms (12.5% of total)ival-exp: 2.0ms (8.3% of total)ival-mult: 2.0ms (8.3% of total)adjust: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | -2.5768353056975375e+161 | -2.330457469528897e+153 |
| 15.0ms | 58× | 1 | valid |
| 8.0ms | 73× | 0 | invalid |
| 7.0ms | 86× | 0 | valid |
Compiled 199 to 151 computations (24.1% saved)
ival-log: 9.0ms (44.2% of total)ival-div: 4.0ms (19.6% of total)ival-add: 3.0ms (14.7% of total)ival-exp: 2.0ms (9.8% of total)ival-mult: 2.0ms (9.8% of total)adjust: 1.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.961181484269637e-19 | 1.4980530343876523e-8 |
| 6.0ms | 80× | 0 | valid |
| 1.0ms | 18× | 0 | invalid |
Compiled 124 to 91 computations (26.6% saved)
ival-div: 1.0ms (20.4% of total)ival-log: 1.0ms (20.4% of total)ival-exp: 1.0ms (20.4% of total)ival-add: 1.0ms (20.4% of total)ival-mult: 1.0ms (20.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 19825179755094572.0 | 4.1794182891100474e+48 |
| 22.0ms | -3.0826388809655607e-14 | -2.3580107508090243e-29 |
| 22.0ms | 280× | 0 | valid |
| 13.0ms | 56× | 1 | valid |
| 5.0ms | 71× | 0 | invalid |
Compiled 271 to 226 computations (16.6% saved)
ival-log: 10.0ms (34.5% of total)ival-div: 6.0ms (20.7% of total)ival-add: 5.0ms (17.3% of total)ival-exp: 4.0ms (13.8% of total)ival-mult: 3.0ms (10.4% of total)adjust: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 4× | if-if-or-not_binary32 |
| 2× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 138 |
| 1 | 75 | 138 |
| 2 | 77 | 138 |
| 3 | 78 | 138 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -410000000000000009863831807020572745821059022848 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) (if (<=.f64 y #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(if (<=.f64 y #s(literal -410000000000000009863831807020572745821059022848 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 2115620184325601/302231454903657293676544 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(if (<=.f64 z #s(literal -1150 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(if (<=.f64 z #s(literal -104999999999999992243974101445553942816559318013711719563745956275371349993995189085377843035824925442048 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(if (<=.f64 z #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(if (<=.f64 y #s(literal -5831192761049855/633825300114114700748351602688 binary64)) x (if (<=.f64 y #s(literal 35000000000000000 binary64)) (/.f64 #s(literal 1 binary64) y) x)) |
x |
| Outputs |
|---|
(if (<=.f64 y #s(literal -410000000000000009863831807020572745821059022848 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) (if (<=.f64 y #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(if (<=.f64 y #s(literal -410000000000000009863831807020572745821059022848 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)))) (if (<=.f64 y #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(if (<=.f64 y #s(literal -410000000000000009863831807020572745821059022848 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 2115620184325601/302231454903657293676544 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(if (<=.f64 y #s(literal -410000000000000009863831807020572745821059022848 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 2115620184325601/302231454903657293676544 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(if (<=.f64 z #s(literal -1150 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(if (<=.f64 z #s(literal -1150 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(if (<=.f64 z #s(literal -104999999999999992243974101445553942816559318013711719563745956275371349993995189085377843035824925442048 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(if (<=.f64 z #s(literal -104999999999999992243974101445553942816559318013711719563745956275371349993995189085377843035824925442048 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(if (<=.f64 z #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(if (<=.f64 z #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y)))) |
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -5831192761049855/633825300114114700748351602688 binary64)) x (if (<=.f64 y #s(literal 35000000000000000 binary64)) (/.f64 #s(literal 1 binary64) y) x)) |
x |
| 16 926× | accelerator-lowering-fma.f32 |
| 16 926× | accelerator-lowering-fma.f64 |
| 11 620× | accelerator-lowering-fma.f32 |
| 11 620× | accelerator-lowering-fma.f64 |
| 10 226× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 2601 |
| 1 | 761 | 2518 |
| 2 | 1886 | 2381 |
| 3 | 5597 | 2369 |
| 0 | 8271 | 2248 |
| 0 | 196 | 2248 |
| 1 | 554 | 2246 |
| 2 | 1558 | 2120 |
| 3 | 4755 | 2044 |
| 0 | 8088 | 1944 |
| 0 | 24 | 97 |
| 1 | 175 | 97 |
| 2 | 2045 | 95 |
| 0 | 8560 | 89 |
| 0 | 603 | 4108 |
| 1 | 1814 | 3482 |
| 2 | 6086 | 3379 |
| 0 | 8218 | 3225 |
| 0 | 833 | 8018 |
| 1 | 2699 | 7122 |
| 0 | 8531 | 6745 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 359 to 210 computations (41.5% saved)
Compiled 390 to 172 computations (55.9% saved)
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