
Time bar (total: 9.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 6.7% | 6.2% | 87.4% | 0.1% | 0% | 6.2% | 0% | 7 |
| 6.7% | 6.2% | 87.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 20.7% | 18.7% | 71.8% | 0.1% | 0% | 9.4% | 0% | 9 |
| 34.5% | 29.6% | 56.2% | 0.1% | 0% | 14% | 0% | 10 |
| 34.5% | 29.6% | 56.2% | 0.1% | 0% | 14% | 0% | 11 |
| 50.5% | 42.1% | 41.3% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 15 to 12 computations (20% saved)
| 842.0ms | 2 200× | 1 | valid |
| 647.0ms | 6 056× | 0 | valid |
| 76.0ms | 976× | 0 | invalid |
| 2.0ms | 20× | 1 | exit |
ival-log: 532.0ms (43.1% of total)ival-div: 230.0ms (18.6% of total)ival-add: 206.0ms (16.7% of total)ival-exp: 118.0ms (9.6% of total)ival-mult: 72.0ms (5.8% of total)adjust: 66.0ms (5.3% of total)ival-true: 8.0ms (0.6% 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 |
| 0 | 17 | 13 |
| 1 | 22 | 11 |
| 2 | 25 | 11 |
| 3 | 25 | 11 |
| 0 | 25 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 152 | 36 | (-5.167154384391772e+46 -1.20866117382078e+202 -2.587920464066515e-300) | 1 | (-2.4588078309209766e-5 -4.9749291070166945e-259 -2.4523984630068475e+58) | (log.f64 (/.f64 y (+.f64 z y))) |
| 38 | 0 | - | 2 | (1.3535298278141588e+127 3.7737953903772965e+263 -1.0043658447400824e-49) | (*.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 | 0 | - | 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 | 166 | 0 |
log.f64 | (log.f64 (/.f64 y (+.f64 z y))) | uflow-rescue | 17 | 0 |
| ↳ | (log.f64 (/.f64 y (+.f64 z y))) | underflow | 36 | |
| ↳ | (/.f64 y (+.f64 z y)) | underflow | 21 | |
*.f64 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | n*u | 10 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 31 | 3 |
| - | 152 | 70 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 31 | 0 | 3 |
| - | 152 | 0 | 70 |
| number | freq |
|---|---|
| 0 | 73 |
| 1 | 173 |
| 2 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 99.0ms | 246× | 1 | valid |
| 26.0ms | 214× | 0 | valid |
| 25.0ms | 52× | 2 | valid |
Compiled 152 to 44 computations (71.1% saved)
ival-log: 54.0ms (45.7% of total)ival-mult: 23.0ms (19.5% of total)ival-div: 16.0ms (13.5% of total)ival-add: 10.0ms (8.5% of total)ival-exp: 8.0ms (6.8% of total)adjust: 7.0ms (5.9% 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 |
|---|---|---|
| ▶ | 88.3% | (+.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× | lower-+.f32 |
| 6× | lower-exp.f32 |
| 4× | lift-+.f64 |
| 4× | lift-/.f64 |
| 4× | exp-prod |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 58 |
| 0 | 17 | 58 |
| 1 | 22 | 52 |
| 2 | 25 | 52 |
| 3 | 25 | 52 |
| 0 | 25 | 52 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
x |
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
(*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
y |
(log.f64 (/.f64 y (+.f64 z y))) |
(/.f64 y (+.f64 z y)) |
(+.f64 z y) |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
x |
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) |
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
(pow.f64 (/.f64 y (+.f64 y z)) y) |
(*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
(*.f64 y (log.f64 (/.f64 y (+.f64 y z)))) |
y |
(log.f64 (/.f64 y (+.f64 z y))) |
(log.f64 (/.f64 y (+.f64 y z))) |
(/.f64 y (+.f64 z y)) |
(/.f64 y (+.f64 y z)) |
(+.f64 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 | 86.3% | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
| ✓ | accuracy | 47.4% | (log.f64 (/.f64 y (+.f64 z y))) |
| 39.0ms | 123× | 1 | valid |
| 12.0ms | 26× | 2 | valid |
| 11.0ms | 107× | 0 | valid |
Compiled 60 to 12 computations (80% saved)
ival-log: 24.0ms (48.6% of total)ival-exp: 8.0ms (16.2% of total)ival-div: 7.0ms (14.2% of total)ival-add: 5.0ms (10.1% of total)adjust: 3.0ms (6.1% of total)ival-mult: 3.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))> |
#<alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))> |
#<alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)> |
#<alt (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))> |
#<alt (log.f64 (/.f64 y (+.f64 z y)))> |
#<alt (/.f64 y (+.f64 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 | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) |
| 5.0ms | z | @ | inf | (exp (* y (log (/ y (+ z y))))) |
| 3.0ms | y | @ | inf | (/ (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))))) |
| 1× | batch-egg-rewrite |
| 3 390× | lower-*.f32 |
| 3 388× | lower-*.f64 |
| 3 144× | lower-fma.f64 |
| 3 144× | lower-fma.f32 |
| 2 802× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 0 | 17 | 52 |
| 1 | 64 | 46 |
| 2 | 458 | 46 |
| 3 | 6457 | 46 |
| 0 | 8028 | 46 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
(*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
(log.f64 (/.f64 y (+.f64 z y))) |
(/.f64 y (+.f64 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 z (*.f64 z z) (*.f64 y (*.f64 y y)))) 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) |
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(-.f64 (log.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y)))) (neg.f64 (log.f64 (-.f64 z y)))) |
(-.f64 (log.f64 (exp.f64 (log.f64 y))) (log.f64 (exp.f64 (log.f64 (+.f64 y z))))) |
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (log.f64 (-.f64 (neg.f64 y) z))) |
(-.f64 (log.f64 (*.f64 y (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y)))) (log.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (fma.f64 y (+.f64 y z) (*.f64 z z))))) |
(-.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 z (*.f64 z z) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (-.f64 y z)) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z)) (*.f64 (*.f64 z 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 z (*.f64 z z) (*.f64 y (*.f64 y y))) (-.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 z (*.f64 z z) (*.f64 y (*.f64 y 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 (fma.f64 (*.f64 y (-.f64 y z)) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))))) |
(-.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.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 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (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 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.f64 z z)) (*.f64 (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y z)))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y z))) (*.f64 (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.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 z (*.f64 z z) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y z)) (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y z)) (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 z z) (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))))) |
(+.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 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y z)) (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (*.f64 y (-.f64 y z)) (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z z) (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.f64 z z) (*.f64 (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y z)))) |
(fma.f64 (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y z)) (*.f64 (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.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 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (/.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 z (*.f64 z z) (*.f64 y (*.f64 y y)))) |
(/.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 (neg.f64 y) #s(literal 1 binary64)) (-.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 z (*.f64 z z) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (-.f64 y z)) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z)) (*.f64 (*.f64 z 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 z (*.f64 z z) (*.f64 y (*.f64 y y))) (-.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 (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y 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))))) (fma.f64 (*.f64 y (-.f64 y z)) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.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 z (*.f64 z z) (*.f64 y (*.f64 y y))))) |
(*.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 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y z) (*.f64 z z))) |
(*.f64 (/.f64 y (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (/.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 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.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 (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 z (*.f64 z z) (*.f64 y (*.f64 y y))))) (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 z (*.f64 z z) (*.f64 y (*.f64 y y)))) (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 z (*.f64 z z) (*.f64 y (*.f64 y y))))) (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× | lower-fma.f64 |
| 9 370× | lower-fma.f32 |
| 5 308× | lower-*.f64 |
| 5 308× | lower-*.f32 |
| 3 480× | lower-+.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)))) |
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(exp (* -1 z)) |
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(+ (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))) |
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1 |
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(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))) |
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(+ (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))) |
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(/ (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)) |
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x |
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(/ 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)))) |
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(* -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) |
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(fma.f64 y (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1 binary64)) |
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(-.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 13 507 to 2 246 computations (83.4% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 472 | 12 | 484 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 473 | 12 | 485 |
| Status | Accuracy | Program |
|---|---|---|
| 88.3% | (fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x) | |
| 80.8% | (fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x) | |
| 41.7% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) | |
| ▶ | 42.2% | (/.f64 #s(literal 1 binary64) y) |
| ▶ | 68.6% | (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
| ▶ | 89.1% | (+.f64 (/.f64 #s(literal 1 binary64) y) x) |
| ▶ | 51.8% | (+.f64 x (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 #s(literal 1 binary64) y))) |
| 52.9% | (+.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)) | |
| 63.8% | (+.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)) | |
| 68.6% | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) | |
| 71.3% | (+.f64 x (/.f64 (exp.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y)) | |
| ▶ | 84.2% | (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
Compiled 360 to 232 computations (35.6% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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)) |
| ✓ | cost-diff | 0 | (+.f64 x (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 #s(literal 1 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 #s(literal 1 binary64) y)) |
| ✓ | 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 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) y) x) |
| 11 806× | lower-fma.f32 |
| 11 802× | lower-fma.f64 |
| 2 420× | lower-*.f32 |
| 2 418× | lower-*.f64 |
| 1 590× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 146 |
| 0 | 42 | 146 |
| 1 | 75 | 146 |
| 2 | 158 | 146 |
| 3 | 286 | 143 |
| 4 | 547 | 143 |
| 5 | 1288 | 141 |
| 6 | 3047 | 141 |
| 7 | 5261 | 136 |
| 8 | 6862 | 136 |
| 9 | 7620 | 136 |
| 10 | 7967 | 136 |
| 0 | 8011 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(-.f64 x (/.f64 z y)) |
x |
(/.f64 z y) |
z |
(+.f64 x (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 #s(literal 1 binary64) y))) |
x |
(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 #s(literal 1 binary64) y)) |
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 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
x |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(exp.f64 (neg.f64 z)) |
(neg.f64 z) |
z |
y |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(-.f64 x (/.f64 z y)) |
x |
(/.f64 z y) |
z |
(+.f64 x (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 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 z y) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) x)) |
x |
(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 #s(literal 1 binary64) y)) |
(fma.f64 (/.f64 z y) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
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) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
x |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(exp.f64 (neg.f64 z)) |
(neg.f64 z) |
z |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 z)) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 (neg.f64 z)) y) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
| ✓ | accuracy | 98.1% | (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 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 88.9% | (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 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) y) x) |
| 45.0ms | 256× | 0 | valid |
Compiled 148 to 27 computations (81.8% saved)
ival-div: 11.0ms (40.2% of total)ival-add: 7.0ms (25.6% of total)ival-mult: 4.0ms (14.6% of total)ival-exp: 2.0ms (7.3% of total)ival-sub: 1.0ms (3.7% of total)ival-neg: 1.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) x)> |
#<alt (/.f64 #s(literal 1 binary64) y)> |
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))> |
#<alt (-.f64 x (/.f64 z y))> |
#<alt (/.f64 z y)> |
#<alt (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))> |
#<alt (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 #s(literal 1 binary64) y))> |
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))> |
#<alt (+.f64 x (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 #s(literal 1 binary64) y)))> |
#<alt (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))> |
#<alt (/.f64 (exp.f64 (neg.f64 z)) y)> |
#<alt (exp.f64 (neg.f64 z))> |
#<alt (neg.f64 z)> |
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 y y))> |
| Outputs |
|---|
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt x> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt x> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (/ 1 y)> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (/ 1 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 (/ 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))))) (/ 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))))) (/ 1 (* y z))))> |
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (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 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) 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 (* z (- (* 1/2 z) 1))))) (pow y 2))> |
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))> |
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)> |
#<alt (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y))> |
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))> |
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))> |
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))> |
#<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 (+ (* 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 (+ 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 (/ (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 (/ 1/2 (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))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y)) |
| 3.0ms | z | @ | -inf | (+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (/ 1 y)) |
| 1.0ms | z | @ | 0 | (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y)) |
| 1.0ms | x | @ | 0 | (+ x (+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (/ 1 y))) |
| 1.0ms | z | @ | inf | (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y)) |
| 1× | batch-egg-rewrite |
| 6 494× | lower-fma.f32 |
| 6 490× | lower-fma.f64 |
| 4 396× | lower-/.f32 |
| 4 384× | lower-/.f64 |
| 3 844× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 110 |
| 0 | 42 | 110 |
| 1 | 202 | 110 |
| 2 | 2162 | 108 |
| 0 | 9044 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 z y)) |
(/.f64 z y) |
(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)) |
(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 #s(literal 1 binary64) y)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(+.f64 x (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 #s(literal 1 binary64) y))) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(exp.f64 (neg.f64 z)) |
(neg.f64 z) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(-.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) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 y)))) |
(pow.f64 y #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(+.f64 x (+.f64 (/.f64 z (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z (neg.f64 y))) |
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))) (/.f64 (*.f64 (-.f64 x (/.f64 z y)) (-.f64 x (/.f64 z y))) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 y z)) (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y z))) (/.f64 (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y z)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) y) (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)) (/.f64 (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) z) (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 y)) (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 y))) (/.f64 (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 z)) (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 y)))) |
(-.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 y z)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 y z))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 y z)))) |
(-.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) z) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))) |
(-.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (neg.f64 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (neg.f64 y))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (neg.f64 z)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (neg.f64 y)))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 #s(literal 1 binary64) y) x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y)))))) |
(-.f64 (/.f64 (*.f64 (-.f64 x (/.f64 z y)) (-.f64 x (/.f64 z y))) (-.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))) (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (-.f64 x (/.f64 z y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (-.f64 x (/.f64 z y))) |
(fma.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 z (neg.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) y)) |
(fma.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)) (/.f64 z (neg.f64 y))) |
(fma.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 z z) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y))) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (-.f64 x (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x (/.f64 z y)) (-.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 (-.f64 x (/.f64 z y)) (*.f64 (-.f64 x (/.f64 z y)) (-.f64 x (/.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
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(/.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 (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)) |
(-.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 #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 (exp.f64 (neg.f64 z)) y) |
(/.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 #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 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (exp.f64 (neg.f64 z)) y) #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) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 y (neg.f64 y))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 y (neg.f64 y))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (neg.f64 y))) |
(pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.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 |
| 14 400× | lower-fma.f64 |
| 14 400× | lower-fma.f32 |
| 3 604× | lower-*.f64 |
| 3 604× | lower-*.f32 |
| 2 154× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 2698 |
| 1 | 597 | 2696 |
| 2 | 1698 | 2508 |
| 3 | 5226 | 2362 |
| 0 | 8217 | 2239 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 y) |
(/ (+ 1 (* x y)) y) |
(/ (+ 1 (* x y)) y) |
(/ (+ 1 (* x y)) y) |
x |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
x |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(/ 1 y) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(/ 1 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)) |
(/ 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 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(/ 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) |
(+ (* 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))) |
(+ 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))) |
(/ (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) |
(/ 1/2 (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 |
|---|
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* x y)) y) |
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
(/ (+ 1 (* x y)) y) |
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
(/ (+ 1 (* x y)) y) |
(/.f64 (fma.f64 y x #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 (/ 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 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- (+ 1 (* x y)) z) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(/ (- (+ 1 (* x y)) z) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(/ (- (+ 1 (* x y)) z) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (/ 1 y) (/ z y)) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(- x (/ z y)) |
(-.f64 x (/.f64 z y)) |
(- x (/ z y)) |
(-.f64 x (/.f64 z y)) |
(- x (/ z y)) |
(-.f64 x (/.f64 z y)) |
x |
(* x (+ 1 (* -1 (/ z (* x y))))) |
(-.f64 x (/.f64 z y)) |
(* x (+ 1 (* -1 (/ z (* x y))))) |
(-.f64 x (/.f64 z y)) |
(* x (+ 1 (* -1 (/ z (* x y))))) |
(-.f64 x (/.f64 z y)) |
x |
(* -1 (* x (- (/ z (* x y)) 1))) |
(-.f64 x (/.f64 z y)) |
(* -1 (* x (- (/ z (* x y)) 1))) |
(-.f64 x (/.f64 z y)) |
(* -1 (* x (- (/ z (* x y)) 1))) |
(-.f64 x (/.f64 z y)) |
x |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* z (- (/ x z) (/ 1 y))) |
(-.f64 x (/.f64 z y)) |
(* z (- (/ x z) (/ 1 y))) |
(-.f64 x (/.f64 z y)) |
(* z (- (/ x z) (/ 1 y))) |
(-.f64 x (/.f64 z y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y)))) |
(-.f64 x (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y)))) |
(-.f64 x (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y)))) |
(-.f64 x (/.f64 z y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(/ (- (* x y) z) y) |
(-.f64 x (/.f64 z y)) |
(/ (- (* x y) z) y) |
(-.f64 x (/.f64 z y)) |
(/ (- (* x y) z) y) |
(-.f64 x (/.f64 z y)) |
x |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
x |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(+ x (* -1 (/ z y))) |
(-.f64 x (/.f64 z y)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 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 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 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 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 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 y)) (* 1/2 (/ 1 (pow y 2))))) |
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y) |
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(/.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 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(/.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 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(/.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 y)) (* 1/2 (/ 1 (pow y 2))))) |
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y) |
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))))) |
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) |
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))))) |
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) |
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))))) |
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) |
(* 1/2 (/ z (pow y 2))) |
(/.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y y)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 y y)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 y y)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 y y)) |
(/ (- (* 1/2 z) 1) y) |
(/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z 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) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z 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) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z 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) |
(* -1 (/ (+ 1 (* -1/2 z)) y)) |
(/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y)) |
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) |
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y)) |
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) |
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y)) |
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* 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 #s(literal 1 binary64) y)) |
(+ (* 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 #s(literal 1 binary64) y)) |
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
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(/ (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) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(/ 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 22 501 to 2 104 computations (90.6% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 891 | 14 | 905 |
| Fresh | 4 | 3 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 897 | 20 | 917 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.3% | (fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x) |
| ▶ | 67.3% | (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
| 77.8% | (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) | |
| 29.5% | (/.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))) | |
| 41.7% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) | |
| 44.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) | |
| 30.2% | (/.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| ▶ | 3.5% | (/.f64 (neg.f64 z) y) |
| ▶ | 38.4% | (/.f64 (exp.f64 (neg.f64 z)) y) |
| ✓ | 42.2% | (/.f64 #s(literal 1 binary64) y) |
| 68.6% | (-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) | |
| 57.3% | (+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x) | |
| 30.2% | (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) y)) | |
| ✓ | 89.1% | (+.f64 (/.f64 #s(literal 1 binary64) y) x) |
| 68.8% | (+.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)) | |
| ▶ | 69.6% | (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
| 84.2% | (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))) | |
| 71.3% | (+.f64 x (/.f64 (exp.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y)) | |
| ✓ | 84.2% | (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
| 5.4% | (*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
Compiled 480 to 318 computations (33.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 z y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 640 | (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
| ✓ | cost-diff | 0 | (neg.f64 z) |
| ✓ | cost-diff | 0 | (/.f64 (neg.f64 z) y) |
| ✓ | cost-diff | 0 | (+.f64 y z) |
| ✓ | cost-diff | 0 | (/.f64 y (+.f64 y z)) |
| ✓ | cost-diff | 0 | (pow.f64 (/.f64 y (+.f64 y z)) y) |
| ✓ | cost-diff | 192 | (fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x) |
| 11 710× | lower-fma.f32 |
| 11 700× | lower-fma.f64 |
| 2 190× | lower-*.f32 |
| 2 188× | lower-*.f64 |
| 1 552× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 144 |
| 0 | 52 | 144 |
| 1 | 94 | 143 |
| 2 | 200 | 143 |
| 3 | 420 | 143 |
| 4 | 739 | 143 |
| 5 | 1539 | 143 |
| 6 | 3208 | 143 |
| 7 | 4865 | 143 |
| 8 | 6733 | 143 |
| 9 | 7683 | 143 |
| 10 | 7985 | 143 |
| 0 | 8043 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x) |
(pow.f64 (/.f64 y (+.f64 y z)) y) |
(/.f64 y (+.f64 y z)) |
y |
(+.f64 y z) |
z |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
x |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
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 |
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
z |
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
y |
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
z |
(*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(/.f64 z y) |
y |
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(exp.f64 (neg.f64 z)) |
(neg.f64 z) |
z |
y |
| Outputs |
|---|
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
(pow.f64 (/.f64 y (+.f64 y z)) y) |
(/.f64 y (+.f64 y z)) |
y |
(+.f64 y z) |
z |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
x |
(/.f64 (neg.f64 z) y) |
(/.f64 z (neg.f64 y)) |
(neg.f64 z) |
z |
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 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
x |
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
z |
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
y |
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (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)) x) |
z |
(*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y) |
(/.f64 z y) |
y |
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(-.f64 x (/.f64 (+.f64 z #s(literal -1 binary64)) y)) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(exp.f64 (neg.f64 z)) |
(neg.f64 z) |
z |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 z)) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 (neg.f64 z)) y) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
| ✓ | accuracy | 100.0% | (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
| ✓ | accuracy | 94.8% | (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
| ✓ | accuracy | 100.0% | (/.f64 (neg.f64 z) y) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 100.0% | (+.f64 y z) |
| ✓ | accuracy | 100.0% | (fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x) |
| ✓ | accuracy | 100.0% | (/.f64 y (+.f64 y z)) |
| ✓ | accuracy | 81.9% | (pow.f64 (/.f64 y (+.f64 y z)) y) |
| 75.0ms | 93× | 1 | valid |
| 37.0ms | 158× | 0 | valid |
| 4.0ms | 5× | 2 | valid |
Compiled 146 to 34 computations (76.7% saved)
ival-pow: 22.0ms (29.1% of total)ival-div: 17.0ms (22.5% of total)ival-add: 12.0ms (15.9% of total)ival-mult: 10.0ms (13.2% of total)adjust: 6.0ms (7.9% of total)const: 4.0ms (5.3% of total)ival-exp: 2.0ms (2.6% of total)ival-sub: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)> |
#<alt (pow.f64 (/.f64 y (+.f64 y z)) y)> |
#<alt (/.f64 y (+.f64 y z))> |
#<alt (+.f64 y z)> |
#<alt (/.f64 (neg.f64 z) y)> |
#<alt (neg.f64 z)> |
#<alt (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))> |
#<alt (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)> |
#<alt (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))> |
#<alt (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))> |
#<alt (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))> |
#<alt (/.f64 z y)> |
#<alt (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))> |
#<alt (/.f64 (exp.f64 (neg.f64 z)) y)> |
#<alt (exp.f64 (neg.f64 z))> |
#<alt (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))> |
| Outputs |
|---|
#<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)))> |
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#<alt (+ x (/ (pow (/ y (+ y z)) y) y))> |
#<alt x> |
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#<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)))))> |
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#<alt (/ y z)> |
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#<alt (/ y z)> |
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#<alt z> |
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#<alt x> |
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#<alt x> |
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#<alt (/ z y)> |
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#<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 1/2> |
#<alt (+ 1/2 (* -1/6 z))> |
#<alt (+ 1/2 (* -1/6 z))> |
#<alt (+ 1/2 (* -1/6 z))> |
#<alt (* -1/6 z)> |
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))> |
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))> |
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))> |
#<alt (* -1/6 z)> |
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))> |
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))> |
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))> |
#<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 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 (/ (- (+ 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 y)) (/ z y))> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
#<alt (- (+ x (/ 1 y)) (/ z y))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | (+ (* z (* (/ z y) (+ (* z -1/6) 1/2))) (+ x (/ (- 1 z) y))) |
| 1.0ms | y | @ | 0 | (+ (* z (* (/ z y) (+ (* z -1/6) 1/2))) (+ x (/ (- 1 z) y))) |
| 1.0ms | y | @ | 0 | (* (/ z y) (+ (* z -1/6) 1/2)) |
| 1.0ms | x | @ | 0 | (+ x (/ (+ (* z (+ (* z 1/2) -1)) 1) y)) |
| 1.0ms | x | @ | 0 | (+ (* z (* (/ z y) (+ (* z -1/6) 1/2))) (+ x (/ (- 1 z) y))) |
| 1× | batch-egg-rewrite |
| 4 792× | lower-*.f32 |
| 4 790× | lower-*.f64 |
| 4 536× | lower-/.f32 |
| 4 522× | lower-/.f64 |
| 3 032× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 111 |
| 0 | 52 | 110 |
| 1 | 242 | 110 |
| 2 | 2087 | 110 |
| 0 | 8664 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x) |
(pow.f64 (/.f64 y (+.f64 y z)) y) |
(/.f64 y (+.f64 y z)) |
(+.f64 y z) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 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) |
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(/.f64 z y) |
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(exp.f64 (neg.f64 z)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
| 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 (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 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y) x) |
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) y) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 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 y y))) (fma.f64 x (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 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 y y))) (fma.f64 x (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (fma.f64 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 y y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (fma.f64 x x (-.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) x) y)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 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 y y))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (-.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) x) y))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) |
(/.f64 (-.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 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 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 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) |
(pow.f64 (/.f64 (fma.f64 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 y y))) (fma.f64 x (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 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 y y))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x))) |
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y z))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (+.f64 y z)) (/.f64 y (+.f64 y z)))) (*.f64 y #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 y (+.f64 y z))) (*.f64 y #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (*.f64 y #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 y (+.f64 y z)) y) |
(pow.f64 (/.f64 y (+.f64 y z)) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (+.f64 y z) y) (neg.f64 y)) |
(pow.f64 (/.f64 (+.f64 y z) y) (*.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (+.f64 y z) y) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (+.f64 y z)) (/.f64 y (+.f64 y z))) (*.f64 y #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 y z)))) |
(*.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 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y y) (pow.f64 (+.f64 y z) (neg.f64 y))) |
(*.f64 (pow.f64 (+.f64 y z) (neg.f64 y)) (pow.f64 y y)) |
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y)) |
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.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 z (-.f64 z y) (*.f64 y y)) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 y z))) y) (pow.f64 (-.f64 y z) y)) |
(*.f64 (pow.f64 y (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 y (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (/.f64 y (+.f64 y z)) y)) |
(*.f64 (pow.f64 (neg.f64 y) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y z))) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 y z))) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (-.f64 y z) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (/.f64 y (+.f64 y z)) y)) |
(*.f64 (pow.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y z))) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (neg.f64 z)))) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 y) (neg.f64 (/.f64 y (neg.f64 z))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (*.f64 (neg.f64 z) #s(literal -1 binary64)))) (*.f64 y y)) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 z (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) z) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 y))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))) |
(+.f64 (*.f64 z #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64)))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (*.f64 z #s(literal -1/12 binary64))))) |
(/.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (*.f64 z #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (exp.f64 z))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (neg.f64 z))) |
(exp.f64 (+.f64 (neg.f64 z) (*.f64 (log.f64 y) #s(literal -1 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) z)) |
(neg.f64 (/.f64 (exp.f64 (neg.f64 z)) (neg.f64 y))) |
(neg.f64 (/.f64 (neg.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 (exp.f64 (neg.f64 z)) y) |
(/.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))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (exp.f64 z))) |
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) y) |
(/.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 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 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z))) |
(*.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 (*.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 (neg.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)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) z) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 z))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 z y) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) |
(-.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 z y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (+.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) (*.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)))) (*.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))) |
| 1× | egg-herbie |
| 8 250× | lower-fma.f64 |
| 8 250× | lower-fma.f32 |
| 5 880× | lower-*.f64 |
| 5 880× | lower-*.f32 |
| 3 456× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 606 | 4859 |
| 1 | 1884 | 4498 |
| 2 | 6236 | 4402 |
| 0 | 8454 | 4153 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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)) |
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(+ (* 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 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) |
(/ (- (+ 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 y)) (/ z y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(- (+ x (/ 1 y)) (/ z y)) |
| Outputs |
|---|
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/.f64 (fma.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) |
(/.f64 (fma.f64 y (+.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)))) #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y) |
(/.f64 (fma.f64 y (+.f64 x (fma.f64 y (fma.f64 y (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 y) (log.f64 z)))) #s(literal 1 binary64)) y) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) (fma.f64 (*.f64 (*.f64 z z) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 z z) (exp.f64 (neg.f64 z))) (*.f64 y y)) (/.f64 (exp.f64 (neg.f64 z)) y)) (fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -2 binary64)) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64)))) (*.f64 y (*.f64 y y))) x)) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(-.f64 x (/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 z))) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(+.f64 x (/.f64 (+.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z z) (exp.f64 (neg.f64 z))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64)))) (/.f64 (exp.f64 (neg.f64 z)) y))) y)) y)) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* 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 (/.f64 #s(literal 1 binary64) y) x)) |
(+ 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))) |
(fma.f64 z (fma.f64 z (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 (neg.f64 z) y) (+.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)) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+.f64 x (/.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) y) (fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 y (neg.f64 z)) x)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+.f64 (fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 z z)))) (/.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) y)) (fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 y (neg.f64 z)) x)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(+.f64 x (fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 z z))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -2 binary64))) (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64))))) (*.f64 y (*.f64 z (*.f64 z z))))) (-.f64 (/.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) y) (*.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 y z))))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+.f64 x (/.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+.f64 x (fma.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (/.f64 y (neg.f64 z)) (/.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) 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))) |
(-.f64 (+.f64 x (/.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y)) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y z))) (*.f64 y (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)))) z)) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(-.f64 (+.f64 x (/.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y)) (/.f64 (-.f64 (*.f64 y (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64))))) (*.f64 y z)) (*.f64 (neg.f64 (pow.f64 (neg.f64 y) y)) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)))) z)) z)) |
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x))))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x))))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x))))) |
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))))))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) z)) (-.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)) (* 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))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 y) (log.f64 z))) #s(literal 1 binary64)) |
(exp (* -1 z)) |
(exp.f64 (neg.f64 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) (exp.f64 (neg.f64 z))) |
(+ (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)))) |
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -2 binary64)) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64)))) (*.f64 y y)) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) (exp.f64 (neg.f64 z)))) |
(+ (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))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 z z) y)) (fma.f64 (exp.f64 (neg.f64 z)) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -2 binary64)) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64)))) (*.f64 y y)) (/.f64 (fma.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -2 binary64)) #s(literal 1/12 binary64)) (fma.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/48 binary64)) (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)))) (exp.f64 (neg.f64 z)))) |
(exp (* -1 z)) |
(exp.f64 (neg.f64 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) (exp.f64 (neg.f64 z))) |
(+ (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))) |
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(* -1/6 (/ (pow z 2) y)) |
(/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) |
(* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y z)) (/.f64 #s(literal -1/6 binary64) y))) |
(* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y z)) (/.f64 #s(literal -1/6 binary64) y))) |
(* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y z)) (/.f64 #s(literal -1/6 binary64) y))) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/6 z)) |
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 z)) |
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 z)) |
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* z (- (* 1/2 (/ 1 z)) 1/6)) |
(*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) |
(* z (- (* 1/2 (/ 1 z)) 1/6)) |
(*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) |
(* z (- (* 1/2 (/ 1 z)) 1/6)) |
(*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z))))) |
(neg.f64 (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)))) |
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z))))) |
(neg.f64 (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)))) |
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z))))) |
(neg.f64 (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)))) |
(/ 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)) |
(fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 z 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 z (*.f64 #s(literal -1/6 binary64) (/.f64 z y)) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (/.f64 #s(literal 1 binary64) 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 y) (/ z y)) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x z)) (/.f64 (neg.f64 z) y)) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x z)) (/.f64 (neg.f64 z) y)) |
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y))) |
(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x z)) (/.f64 (neg.f64 z) y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(fma.f64 z (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z) (/.f64 (neg.f64 z) y)) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(fma.f64 z (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z) (/.f64 (neg.f64 z) y)) |
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)))) |
(fma.f64 z (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z) (/.f64 (neg.f64 z) y)) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- (+ 1 (* x y)) z) y) |
(/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) z)) y) |
(/ (- (+ 1 (* x y)) z) y) |
(/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) z)) y) |
(/ (- (+ 1 (* x y)) z) y) |
(/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) z)) y) |
x |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
x |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(- (+ x (/ 1 y)) (/ z y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) |
Compiled 36 739 to 3 148 computations (91.4% saved)
30 alts after pruning (25 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 144 | 16 | 1 160 |
| Fresh | 3 | 9 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 150 | 30 | 1 180 |
| Status | Accuracy | Program |
|---|---|---|
| 57.5% | (fma.f64 (pow.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) y) x) | |
| 68.6% | (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x) | |
| 33.7% | (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)) | |
| 6.9% | (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (neg.f64 z) y)) | |
| 68.1% | (fma.f64 z (*.f64 (/.f64 z y) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) | |
| 35.5% | (/.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) | |
| 34.7% | (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) | |
| ▶ | 77.8% | (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
| 29.5% | (/.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))) | |
| 41.7% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) | |
| 38.4% | (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)) | |
| ▶ | 44.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
| ▶ | 30.2% | (/.f64 (-.f64 #s(literal 1 binary64) z) y) |
| ▶ | 8.4% | (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y) |
| ✓ | 3.5% | (/.f64 (neg.f64 z) y) |
| ✓ | 38.4% | (/.f64 (exp.f64 (neg.f64 z)) y) |
| ✓ | 42.2% | (/.f64 #s(literal 1 binary64) y) |
| 68.6% | (-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) | |
| ▶ | 57.3% | (+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x) |
| 30.2% | (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) y)) | |
| ✓ | 89.1% | (+.f64 (/.f64 #s(literal 1 binary64) y) x) |
| 63.5% | (+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))) | |
| 69.6% | (+.f64 x (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) y)) | |
| 65.5% | (+.f64 x (/.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) y)) | |
| 62.8% | (+.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) y)) | |
| 71.3% | (+.f64 x (/.f64 (exp.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y)) | |
| ✓ | 84.2% | (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
| 20.1% | (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z)))) | |
| 3.5% | (*.f64 z (/.f64 #s(literal -1 binary64) y)) | |
| 7.8% | (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) |
Compiled 903 to 539 computations (40.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
| ✓ | cost-diff | 0 | (*.f64 z z) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 z z)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) z) 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) |
| 6 230× | lower-fma.f32 |
| 6 228× | lower-fma.f64 |
| 3 682× | lower-*.f32 |
| 3 672× | lower-*.f64 |
| 1 760× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 115 |
| 0 | 41 | 109 |
| 1 | 68 | 109 |
| 2 | 106 | 109 |
| 3 | 169 | 109 |
| 4 | 274 | 109 |
| 5 | 507 | 109 |
| 6 | 1050 | 109 |
| 7 | 2017 | 109 |
| 8 | 4122 | 109 |
| 9 | 7056 | 109 |
| 0 | 8297 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
(fma.f64 y x #s(literal 1 binary64)) |
y |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) |
(*.f64 z (*.f64 z z)) |
z |
(*.f64 z z) |
#s(literal -1/6 binary64) |
y |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.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) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
x |
| Outputs |
|---|
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
(fma.f64 y x #s(literal 1 binary64)) |
y |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(*.f64 z (*.f64 z z)) |
z |
(*.f64 z z) |
#s(literal -1/6 binary64) |
y |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (fma.f64 x x (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 x (/.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x) |
(+.f64 x (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x) |
| ✓ | accuracy | 55.9% | (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) y) x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 y y)) |
| ✓ | accuracy | 95.8% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
| ✓ | accuracy | 51.6% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 99.9% | (*.f64 z (*.f64 z z)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 95.1% | (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) z) y) |
| ✓ | accuracy | 100.0% | (fma.f64 y x #s(literal 1 binary64)) |
| ✓ | accuracy | 85.7% | (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
| 56.0ms | 256× | 0 | valid |
Compiled 117 to 26 computations (77.8% saved)
ival-div: 14.0ms (35.2% of total)ival-mult: 9.0ms (22.6% of total)ival-pow: 6.0ms (15.1% of total)const: 4.0ms (10.1% of total)ival-sub: 3.0ms (7.5% of total)ival-add: 2.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (fma.f64 y x #s(literal 1 binary64)) y)> |
#<alt (fma.f64 y x #s(literal 1 binary64))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) z) y)> |
#<alt (-.f64 #s(literal 1 binary64) z)> |
#<alt (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)> |
#<alt (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64))> |
#<alt (*.f64 z (*.f64 z z))> |
#<alt (*.f64 z z)> |
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y y))> |
#<alt (*.f64 y y)> |
#<alt (+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)> |
#<alt (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) y) x)> |
| Outputs |
|---|
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt x> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt x> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (/ 1 y)> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt 1> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ 1 y)))> |
#<alt (* y (+ x (/ 1 y)))> |
#<alt (* y (+ x (/ 1 y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))> |
#<alt 1> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ 1 x)))> |
#<alt (* x (+ y (/ 1 x)))> |
#<alt (* x (+ y (/ 1 x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ z y)) (/ 1 y))> |
#<alt (+ (* -1 (/ z y)) (/ 1 y))> |
#<alt (+ (* -1 (/ z y)) (/ 1 y))> |
#<alt (* -1 (/ z y))> |
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))> |
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))> |
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))> |
#<alt (* -1 (/ z y))> |
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))> |
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))> |
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- 1 z) y)> |
#<alt (/ (- 1 z) y)> |
#<alt 1> |
#<alt (+ 1 (* -1 z))> |
#<alt (+ 1 (* -1 z))> |
#<alt (+ 1 (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ 1 z) 1))> |
#<alt (* z (- (/ 1 z) 1))> |
#<alt (* z (- (/ 1 z) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (- 1 (/ 1 z))))> |
#<alt (* -1 (* z (- 1 (/ 1 z))))> |
#<alt (* -1 (* z (- 1 (/ 1 z))))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (/ (pow z 3) y))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (* -1/6 (pow z 3))> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* 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 (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))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (/ 1 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 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)))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/ (* (* z (* z z)) -1/6) y) |
| 1.0ms | y | @ | 0 | (/ (* (* z (* z z)) -1/6) y) |
| 1.0ms | z | @ | 0 | (/ (* (* z (* z z)) -1/6) y) |
| 0.0ms | y | @ | -inf | (/ (+ (* y x) 1) y) |
| 0.0ms | z | @ | inf | (/ (* (* z (* z z)) -1/6) y) |
| 1× | batch-egg-rewrite |
| 5 776× | lower-fma.f32 |
| 5 774× | lower-fma.f64 |
| 4 210× | lower-/.f32 |
| 4 198× | lower-/.f64 |
| 3 914× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 91 |
| 0 | 41 | 93 |
| 1 | 170 | 67 |
| 2 | 1277 | 67 |
| 0 | 8631 | 67 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
(fma.f64 y x #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(-.f64 #s(literal 1 binary64) z) |
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) |
(*.f64 z (*.f64 z z)) |
(*.f64 z z) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.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) (*.f64 y y)) |
(*.f64 y y) |
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y x)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y x)) y)) |
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))) y)) |
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (fma.f64 y x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(fma.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y x)) y)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 y x #s(literal 1 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y x)) y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) |
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(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (fma.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (fma.f64 x x (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) y))))) |
(*.f64 (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.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 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
| 1× | egg-herbie |
| 7 094× | lower-fma.f64 |
| 7 094× | lower-fma.f32 |
| 4 544× | lower-*.f64 |
| 4 544× | lower-*.f32 |
| 1 742× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 1585 |
| 1 | 185 | 1486 |
| 2 | 413 | 1384 |
| 3 | 1080 | 1312 |
| 4 | 2949 | 1276 |
| 5 | 6209 | 1276 |
| 0 | 8131 | 1258 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 y) |
(/ (+ 1 (* x y)) y) |
(/ (+ 1 (* x y)) y) |
(/ (+ 1 (* x y)) y) |
x |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
x |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(/ 1 y) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* x y) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* x y) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* x y) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x y) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(* -1 (/ z y)) |
(* z (- (/ 1 (* y z)) (/ 1 y))) |
(* z (- (/ 1 (* y z)) (/ 1 y))) |
(* z (- (/ 1 (* y z)) (/ 1 y))) |
(* -1 (/ z y)) |
(* -1 (* z (- (/ 1 y) (/ 1 (* y z))))) |
(* -1 (* z (- (/ 1 y) (/ 1 (* y z))))) |
(* -1 (* z (- (/ 1 y) (/ 1 (* y z))))) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
(/ (- 1 z) y) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (/ (pow z 3) y)) |
(* -1/6 (pow z 3)) |
(* -1/6 (pow z 3)) |
(* -1/6 (pow z 3)) |
(* -1/6 (pow z 3)) |
(* -1/6 (pow z 3)) |
(* -1/6 (pow z 3)) |
(* -1/6 (pow z 3)) |
(* -1/6 (pow z 3)) |
(* -1/6 (pow z 3)) |
(* -1/6 (pow z 3)) |
(* -1/6 (pow z 3)) |
(* -1/6 (pow z 3)) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ 1 y) |
(/ (+ 1 (* 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 (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)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ 1 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 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))))) |
| Outputs |
|---|
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* x y)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ (+ 1 (* x y)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ (+ 1 (* x y)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
x |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
x |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(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 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(* z (- (/ 1 (* y z)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* z (- (/ 1 (* y z)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* z (- (/ 1 (* y z)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(* -1 (* z (- (/ 1 y) (/ 1 (* y z))))) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* z (- (/ 1 y) (/ 1 (* y z))))) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* z (- (/ 1 y) (/ 1 (* y z))))) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
(/ (- 1 z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) z) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (/ (pow z 3) y)) |
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y) |
(* -1/6 (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(* -1/6 (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(* -1/6 (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(* -1/6 (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(* -1/6 (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(* -1/6 (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(* -1/6 (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(* -1/6 (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(* -1/6 (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(* -1/6 (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(* -1/6 (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(* -1/6 (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(/ 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 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(- (/ 1 (pow y 2)) (pow x 2)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ (* -1 (pow x 2)) (/ 1 (pow y 2))) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(+ (* -1 (pow x 2)) (/ 1 (pow y 2))) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(+ (* -1 (pow x 2)) (/ 1 (pow y 2))) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1)) |
(fma.f64 x (neg.f64 x) (/.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)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ 1 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 x (/.f64 #s(literal -1 binary64) y)) |
(- x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal -1 binary64) y)) |
(- x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal -1 binary64) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ 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 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 (* -1 (* x y))) y) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ (+ 1 (* -1 (* x y))) y) |
(-.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ (+ 1 (* -1 (* x y))) y) |
(-.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 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) |
Compiled 30 837 to 2 156 computations (93% saved)
32 alts after pruning (25 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 288 | 9 | 1 297 |
| Fresh | 4 | 16 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 295 | 32 | 1 327 |
| Status | Accuracy | Program |
|---|---|---|
| 57.5% | (fma.f64 (pow.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) y) x) | |
| 68.6% | (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x) | |
| 33.7% | (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)) | |
| 68.1% | (fma.f64 z (*.f64 (/.f64 z y) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) | |
| 35.5% | (/.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) | |
| 34.7% | (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) | |
| ✓ | 77.8% | (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
| 29.5% | (/.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) x) y))) | |
| 41.7% | (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) | |
| 29.6% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y) | |
| 20.9% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) | |
| 38.4% | (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)) | |
| 41.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))) | |
| ✓ | 30.2% | (/.f64 (-.f64 #s(literal 1 binary64) z) y) |
| ✓ | 8.4% | (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y) |
| 39.0% | (/.f64 (*.f64 y x) y) | |
| ✓ | 3.5% | (/.f64 (neg.f64 z) y) |
| ✓ | 38.4% | (/.f64 (exp.f64 (neg.f64 z)) y) |
| 8.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -6 binary64)) (*.f64 z (*.f64 z z)))) | |
| ✓ | 42.2% | (/.f64 #s(literal 1 binary64) y) |
| 30.2% | (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) | |
| 68.6% | (-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y)) | |
| ✓ | 89.1% | (+.f64 (/.f64 #s(literal 1 binary64) y) x) |
| 47.4% | (+.f64 (/.f64 #s(literal -1 binary64) y) x) | |
| 63.5% | (+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))) | |
| 69.6% | (+.f64 x (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) y)) | |
| 65.5% | (+.f64 x (/.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) y)) | |
| 71.3% | (+.f64 x (/.f64 (exp.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y)) | |
| 20.1% | (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z)))) | |
| 7.4% | (*.f64 (*.f64 z z) (/.f64 z (*.f64 y #s(literal -6 binary64)))) | |
| 3.5% | (*.f64 z (/.f64 #s(literal -1 binary64) y)) | |
| 7.8% | (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) |
Compiled 1 193 to 475 computations (60.2% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 #s(literal -1 binary64) y) x) |
(+.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 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) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) |
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(*.f64 (*.f64 z z) (/.f64 z (*.f64 y #s(literal -6 binary64)))) |
(+.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 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) y)) |
(+.f64 x (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.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 (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 y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -6 binary64)) (*.f64 z (*.f64 z z)))) |
(+.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 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (neg.f64 z) 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)) |
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(+.f64 x (/.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) y)) |
(+.f64 x (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 #s(literal 1 binary64) y))) |
(fma.f64 z (*.f64 (/.f64 z y) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) 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) x) 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 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 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z)))) |
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x) |
(+.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) y)) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))) |
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) |
(fma.f64 (pow.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 (exp.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y)) |
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x) |
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))) |
5 calls:
| 17.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 15.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 15.0ms | x |
| 15.0ms | y |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 1 | x |
| 99.5% | 3 | y |
| 89.1% | 1 | z |
| 92.7% | 3 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 93.6% | 3 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 #s(literal -1 binary64) y) x) |
(+.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 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) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) |
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(*.f64 (*.f64 z z) (/.f64 z (*.f64 y #s(literal -6 binary64)))) |
(+.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 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) y)) |
(+.f64 x (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.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 (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 y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -6 binary64)) (*.f64 z (*.f64 z z)))) |
(+.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 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (neg.f64 z) 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)) |
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(+.f64 x (/.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) y)) |
(+.f64 x (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 #s(literal 1 binary64) y))) |
(fma.f64 z (*.f64 (/.f64 z y) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) 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) x) 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 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 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z)))) |
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x) |
(+.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) y)) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)) |
| 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:
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 #s(literal -1 binary64) y) x) |
(+.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 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) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) |
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(*.f64 (*.f64 z z) (/.f64 z (*.f64 y #s(literal -6 binary64)))) |
(+.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 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) y)) |
(+.f64 x (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.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 (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 y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -6 binary64)) (*.f64 z (*.f64 z z)))) |
(+.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 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (neg.f64 z) 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)) |
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(+.f64 x (/.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) y)) |
(+.f64 x (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 #s(literal 1 binary64) y))) |
(fma.f64 z (*.f64 (/.f64 z y) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) 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) x) 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 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 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z)))) |
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x) |
(+.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) y)) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
| 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:
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 #s(literal -1 binary64) y) x) |
(+.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 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) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) |
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(*.f64 (*.f64 z z) (/.f64 z (*.f64 y #s(literal -6 binary64)))) |
(+.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 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) y)) |
(+.f64 x (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y))) |
(/.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) |
| Outputs |
|---|
(+.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 #s(literal 1 binary64) y) x) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 #s(literal -1 binary64) y) x) |
(+.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 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) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) |
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(*.f64 (*.f64 z z) (/.f64 z (*.f64 y #s(literal -6 binary64)))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
3 calls:
| 6.0ms | y |
| 5.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 5.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 89.1% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 89.1% | 1 | y |
Compiled 34 to 22 computations (35.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 #s(literal -1 binary64) y) x) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 (/.f64 #s(literal -1 binary64) y) x) |
5 calls:
| 2.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.9% | 3 | y |
| 68.5% | 3 | x |
| 56.3% | 2 | z |
| 69.8% | 3 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 55.9% | 4 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
Compiled 42 to 28 computations (33.3% saved)
Total -25.1b remaining (-67.9%)
Threshold costs -25.1b (-67.9%)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (neg.f64 z) y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) y) |
5 calls:
| 1.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 1.0ms | x |
| 1.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.2% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 42.2% | 1 | z |
| 42.2% | 1 | x |
| 42.2% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 42.2% | 1 | y |
Compiled 42 to 28 computations (33.3% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 5.4596531653016426e-8 | 0.002851434054502395 |
| 10.0ms | -97697698.06007874 | -1.006186585036086e-6 |
| 17.0ms | 160× | 0 | valid |
| 3.0ms | 39× | 0 | invalid |
Compiled 229 to 176 computations (23.1% saved)
ival-add: 6.0ms (40.3% of total)ival-div: 3.0ms (20.1% of total)ival-log: 3.0ms (20.1% of total)ival-exp: 1.0ms (6.7% of total)ival-mult: 1.0ms (6.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.4596531653016426e-8 | 0.002851434054502395 |
| 0.0ms | -97697698.06007874 | -1.006186585036086e-6 |
Compiled 219 to 166 computations (24.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -97697698.06007874 | -1.006186585036086e-6 |
Compiled 127 to 96 computations (24.4% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -97697698.06007874 | -1.006186585036086e-6 |
Compiled 115 to 88 computations (23.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 10084617177086.12 | 4821197815770421.0 |
| 77.0ms | -1.0868222454551807e+45 | -3.648331370288133e+36 |
| 42.0ms | 45× | 1 | valid |
| 22.0ms | 227× | 0 | valid |
| 9.0ms | 62× | 1 | exit |
| 6.0ms | 78× | 0 | invalid |
Compiled 291 to 237 computations (18.6% saved)
ival-log: 29.0ms (43.7% of total)ival-exp: 16.0ms (24.1% of total)ival-div: 11.0ms (16.6% of total)ival-add: 5.0ms (7.5% of total)ival-mult: 4.0ms (6% of total)adjust: 2.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 128 |
| 1 | 54 | 128 |
| 2 | 56 | 128 |
| 3 | 57 | 128 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))) (if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))))) |
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(if (<=.f64 y #s(literal -10 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 y #s(literal -10 binary64)) (+.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 #s(literal 1 binary64) y) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(if (<=.f64 y #s(literal -3700000000000000289772915614575230976 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) x) (if (<=.f64 y #s(literal 330000000000000 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -1 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))) (if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))))) |
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))) (if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))))) |
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))) |
(if (<=.f64 y #s(literal -10 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 y #s(literal -10 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 y #s(literal -10 binary64)) (+.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 #s(literal 1 binary64) y) x)) |
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -3700000000000000289772915614575230976 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) x) (if (<=.f64 y #s(literal 330000000000000 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -1 binary64) y) x))) |
(if (<=.f64 y #s(literal -3700000000000000289772915614575230976 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 330000000000000 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(/.f64 #s(literal 1 binary64) y) |
| 14 400× | lower-fma.f64 |
| 14 400× | lower-fma.f32 |
| 9 370× | lower-fma.f64 |
| 9 370× | lower-fma.f32 |
| 7 094× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 2698 |
| 1 | 597 | 2696 |
| 2 | 1698 | 2508 |
| 3 | 5226 | 2362 |
| 0 | 8217 | 2239 |
| 0 | 78 | 1585 |
| 1 | 185 | 1486 |
| 2 | 413 | 1384 |
| 3 | 1080 | 1312 |
| 4 | 2949 | 1276 |
| 5 | 6209 | 1276 |
| 0 | 8131 | 1258 |
| 0 | 23 | 110 |
| 0 | 42 | 110 |
| 1 | 202 | 110 |
| 2 | 2162 | 108 |
| 0 | 9044 | 104 |
| 0 | 603 | 4108 |
| 1 | 1814 | 3482 |
| 2 | 6086 | 3379 |
| 0 | 8218 | 3225 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 305 to 168 computations (44.9% saved)
Compiled 358 to 146 computations (59.2% saved)
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