
Time bar (total: 9.3s)
| 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)
| 995.0ms | 2 308× | 1 | valid |
| 610.0ms | 5 948× | 0 | valid |
| 70.0ms | 980× | 0 | invalid |
| 7.0ms | 38× | 1 | exit |
ival-log: 639.0ms (47.1% of total)ival-div: 258.0ms (19% of total)ival-exp: 191.0ms (14.1% of total)ival-add: 135.0ms (9.9% of total)ival-mult: 72.0ms (5.3% of total)adjust: 52.0ms (3.8% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 143 | 30 | (9.153904686090162e-82 -4.034740001707513e+250 7.420435103908786e-98) | 5 | (1.7424243104523987e+67 -2.0077749637502657e-284 -4.39194016932691e+39) | (log.f64 (/.f64 y (+.f64 z y))) |
| 30 | 0 | - | 1 | (-4.806211451399072e+88 -34191712888296020.0 -1.0489740812133328e-306) | (*.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 | 153 | 0 |
log.f64 | (log.f64 (/.f64 y (+.f64 z y))) | uflow-rescue | 14 | 0 |
| ↳ | (log.f64 (/.f64 y (+.f64 z y))) | underflow | 29 | |
| ↳ | (/.f64 y (+.f64 z y)) | underflow | 15 | |
*.f64 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | n*u | 5 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 32 | 0 |
| - | 135 | 89 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 32 | 0 | 0 |
| - | 135 | 0 | 89 |
| number | freq |
|---|---|
| 0 | 89 |
| 1 | 162 |
| 2 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 74.0ms | 238× | 1 | valid |
| 26.0ms | 54× | 2 | valid |
| 19.0ms | 220× | 0 | valid |
Compiled 133 to 34 computations (74.4% saved)
ival-log: 42.0ms (44.3% of total)ival-add: 20.0ms (21.1% of total)ival-div: 12.0ms (12.7% of total)ival-exp: 8.0ms (8.4% of total)adjust: 6.0ms (6.3% of total)ival-mult: 6.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 130 |
| 1 | 106 | 104 |
| 2 | 224 | 102 |
| 3 | 484 | 102 |
| 4 | 1103 | 102 |
| 5 | 2317 | 100 |
| 6 | 3307 | 100 |
| 7 | 4465 | 100 |
| 8 | 5408 | 100 |
| 9 | 6091 | 100 |
| 10 | 6493 | 100 |
| 11 | 6717 | 100 |
| 12 | 7002 | 100 |
| 13 | 7297 | 100 |
| 14 | 7550 | 100 |
| 15 | 7967 | 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 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.2% | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
Compiled 13 to 10 computations (23.1% 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 | 2 | (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
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 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
x |
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
(*.f64 (log.f64 (/.f64 y (+.f64 z y))) y) |
y |
(log.f64 (/.f64 y (+.f64 z y))) |
(/.f64 y (+.f64 z y)) |
(+.f64 z y) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) | |
| accuracy | 0.015625 | (/.f64 y (+.f64 z y)) | |
| accuracy | 7.07174518246156 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | |
| accuracy | 32.381666835966406 | (log.f64 (/.f64 y (+.f64 z y))) |
| 35.0ms | 119× | 1 | valid |
| 13.0ms | 27× | 2 | valid |
| 10.0ms | 110× | 0 | valid |
Compiled 60 to 12 computations (80% saved)
ival-log: 24.0ms (53.2% of total)ival-div: 6.0ms (13.3% of total)ival-exp: 4.0ms (8.9% of total)ival-add: 4.0ms (8.9% of total)adjust: 3.0ms (6.7% of total)ival-mult: 3.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 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 |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
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))))))) |
(/ 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) |
(/ (+ 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) |
(* 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)))))) |
(+ (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))))) |
(/ 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))) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(+ 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))))) |
(/ (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) |
(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) |
(+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) |
(* -1 (/ z 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 (* -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))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(* -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 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 (* -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 (* -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 z)) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(+ (* -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)) |
(* 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)) |
(* 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))) |
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y)))) |
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(exp (* y (+ (log y) (log (/ 1 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(/ (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)))))) |
(+ (* -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))))))) |
(+ (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))))))) |
(/ (+ 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) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
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(/ (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 (* -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 (* -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)))) |
(* -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)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 7.0ms | x | @ | 0 | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 4.0ms | y | @ | -inf | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 3.0ms | z | @ | inf | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 3.0ms | z | @ | -inf | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 603 | 3912 |
| 1 | 1814 | 3296 |
| 2 | 6042 | 2954 |
| 0 | 8238 | 2801 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
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))))))) |
(/ 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) |
(/ (+ 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) |
(* 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)))))) |
(+ (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))))) |
(/ 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))) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(+ 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))) |
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(/ (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) |
(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
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(* -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) |
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(+ (* 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)) |
(* 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)) |
(* 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))) |
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y)))) |
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(exp (* y (+ (log y) (log (/ 1 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(/ (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)))))) |
(+ (* -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))))))) |
(+ (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))))))) |
(/ (+ 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) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (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 (* -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 (* -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)))) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #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 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y #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 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) 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 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) x) y #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 (+.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) x) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) y) |
(* y (+ (log y) (log (/ 1 z)))) |
(*.f64 (-.f64 (log.f64 y) (log.f64 z)) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))) |
(*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) y (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) 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)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.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 (fma.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) y (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y z) z)) y) |
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))) |
(fma.f64 (-.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (*.f64 y y) (/.f64 y z)) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 z z))) y (/.f64 #s(literal 1 binary64) z)) y) |
(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 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) 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)) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) y) 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 (exp.f64 (neg.f64 z)) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/48 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 6 binary64)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) y) y))) (exp.f64 (neg.f64 z))) |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 z (/.f64 z y)) (exp.f64 (neg.f64 z))) 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) (/ (* (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 (exp.f64 (neg.f64 z)) (fma.f64 (*.f64 (/.f64 z y) (/.f64 z y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (exp.f64 (neg.f64 z)) y)) x) |
(/ (exp (* -1 z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
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(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) x) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
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(/ (exp (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
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(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z))))) |
(*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y) |
(+ (* -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 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y)) |
(+ (* -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 (*.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y))) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))) |
(+.f64 (fma.f64 (/.f64 (*.f64 y (/.f64 y z)) z) #s(literal 1/2 binary64) (-.f64 (/.f64 (neg.f64 y) z) (log.f64 z))) (log.f64 y)) |
(+ (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 (-.f64 (fma.f64 (/.f64 (*.f64 y (/.f64 y z)) z) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 y z)) (log.f64 z)) (log.f64 y)) |
(/ (+ y (* -1 (/ (pow y 2) z))) z) |
(/.f64 (-.f64 y (*.f64 y (/.f64 y z))) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) (neg.f64 y)) y) z) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z))) z) y) z) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (*.f64 (neg.f64 y) (/.f64 y z)))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (*.f64 y y))) (neg.f64 z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) y (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z))) (neg.f64 z))) (neg.f64 z))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) x) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (/.f64 (neg.f64 y) z) x) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) 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 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) x) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 z y)) 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 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) x) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z))) (neg.f64 z))) z)) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (/.f64 (neg.f64 y) z) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) 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)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 z y)) y)) 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)))))))) (* 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 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z))) (neg.f64 z))) z)) |
(* y (+ (log (* -1 y)) (log (/ -1 z)))) |
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(*.f64 y (+.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 y z)) (log.f64 (/.f64 #s(literal -1 binary64) 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 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y (/.f64 (*.f64 y (fma.f64 (*.f64 y (/.f64 y z)) #s(literal -1/2 binary64) 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))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y (/.f64 (fma.f64 y y (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y) z) #s(literal -1/6 binary64))) (neg.f64 z))) (neg.f64 z))) |
(+ (log (* -1 y)) (log (/ -1 z))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 y z)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 y (/.f64 y z)) #s(literal -1/2 binary64) y) z)) (log.f64 (/.f64 #s(literal -1 binary64) 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)) (/.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) z) #s(literal -1/6 binary64))) z)) z)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(/.f64 (fma.f64 y (/.f64 y z) (neg.f64 y)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) (neg.f64 y)) y) z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z))) z) y) z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 0 | 17 | 52 |
| 1 | 64 | 46 |
| 2 | 458 | 46 |
| 3 | 6476 | 46 |
| 0 | 8047 | 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 |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) y) (pow.f64 (-.f64 z y) y)) |
(*.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) y) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y)) |
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 z y)) y)) |
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) y)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) (pow.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y)) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))))) |
(*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (pow.f64 (exp.f64 y) (neg.f64 (log.f64 (+.f64 z y))))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) y)) |
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 z y) y) (neg.f64 y)) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 y) (fma.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 z y)))) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 y) (log.f64 y))) (neg.f64 (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (log.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))) |
(/.f64 (*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) #s(literal 1 binary64)) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))) |
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (neg.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (-.f64 (neg.f64 y) z)))) |
(/.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))) (pow.f64 (exp.f64 y) (log.f64 y)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) (neg.f64 y))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(*.f64 (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 4 binary64))) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))) (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) (fma.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 4 binary64))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (fma.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
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(/.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (fma.f64 (neg.f64 y) y (*.f64 z z))) (+.f64 z y)) |
(/.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y))) |
(/.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (fma.f64 z z (*.f64 y (+.f64 z y))))) |
(/.f64 (*.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (+.f64 z y))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y)))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (-.f64 (neg.f64 y) z)) |
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (-.f64 (neg.f64 y) z)))) |
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (+.f64 z y)))) |
(/.f64 (*.f64 (-.f64 z y) y) (fma.f64 (neg.f64 y) y (*.f64 z z))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) |
(/.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 y) z) y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 z y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) y)) |
(/.f64 (neg.f64 y) (-.f64 (neg.f64 y) z)) |
(/.f64 y (+.f64 z y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) z)))) |
(neg.f64 (/.f64 y (-.f64 (neg.f64 y) z))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) z (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 y))) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z))) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y))) |
(fma.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(fma.f64 z (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 (neg.f64 y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) z)) (/.f64 y (-.f64 (neg.f64 y) z))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 (neg.f64 y) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 y (+.f64 z y)))) |
(+.f64 (*.f64 z (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (*.f64 (neg.f64 y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))))) |
(+.f64 (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) z) (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y))) |
Compiled 13 008 to 2 363 computations (81.8% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 441 | 9 | 450 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 442 | 9 | 451 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.2% | (+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) |
| 59.8% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) z (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z))) y)) | |
| 85.4% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) | |
| ▶ | 55.1% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| 64.0% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| ▶ | 67.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| 86.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) | |
| ▶ | 42.7% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
| ▶ | 41.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 422 to 290 computations (31.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (+.f64 z y)) | |
| cost-diff | 0 | (pow.f64 (/.f64 y (+.f64 z y)) y) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) | |
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| cost-diff | 2 | (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) | |
| cost-diff | 12 | (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 429 |
| 0 | 73 | 413 |
| 1 | 107 | 397 |
| 2 | 179 | 397 |
| 3 | 592 | 387 |
| 4 | 2262 | 377 |
| 5 | 5806 | 377 |
| 0 | 8557 | 365 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) |
x |
(/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) |
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) |
(pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) |
(/.f64 y (+.f64 z y)) |
y |
(+.f64 z y) |
z |
(/.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
#s(literal 1/3 binary64) |
(*.f64 y y) |
(neg.f64 z) |
z |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 y (+.f64 z y)) |
y |
(+.f64 z y) |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
x |
(/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) |
(/.f64 y (+.f64 z y)) |
y |
(+.f64 z y) |
z |
(/.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))) z #s(literal -1 binary64)) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))) |
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y)) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
#s(literal 1/3 binary64) |
(*.f64 y y) |
(neg.f64 z) |
z |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 y (+.f64 z y)) |
y |
(+.f64 z y) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) | |
| accuracy | 0.015625 | (/.f64 y (+.f64 z y)) | |
| accuracy | 11.739697584648047 | (pow.f64 (/.f64 y (+.f64 z y)) y) | |
| accuracy | 29.50201787820547 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) | |
| accuracy | 1.2062883914104834 | (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) | |
| accuracy | 1.9536013365802107 | (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) | |
| accuracy | 4.9973717452565625 | (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) | |
| accuracy | 26.19812295914719 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) | |
| accuracy | 25.624891035042403 | #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 37.52436348463506 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.015625 | (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) | |
| accuracy | 0.015625 | (/.f64 y (+.f64 z y)) | |
| accuracy | 0.0234375 | (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) | |
| accuracy | 11.716545152688088 | (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) |
| 170.0ms | 99× | 1 | valid |
| 63.0ms | 157× | 0 | valid |
Compiled 333 to 40 computations (88% saved)
ival-pow: 95.0ms (49.5% of total)ival-mult: 28.0ms (14.6% of total)ival-div: 16.0ms (8.3% of total)ival-log: 15.0ms (7.8% of total)ival-add: 14.0ms (7.3% of total)const: 8.0ms (4.2% of total)adjust: 7.0ms (3.6% of total)ival-exp: 3.0ms (1.6% of total)ival-sub: 1.0ms (0.5% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) |
(+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) |
(/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) |
(pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 y (+.f64 z y)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
| Outputs |
|---|
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y) |
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) |
(/ 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))) 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y) |
(+ 1 (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) |
(+ 1 (* y (+ (* 1/2 (+ (log y) (log (/ 1 z)))) (* y (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))) |
(+ 1 (* y (+ (* 1/2 (+ (log y) (log (/ 1 z)))) (* y (- (+ (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/4 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/48 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/4 (/ 1 (pow z 2))))))) (* 1/2 (/ 1 z))))))) |
(/ (+ 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) |
(/ (+ 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) |
(+ 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))))))) |
(* -1/3 (/ z (pow y 2))) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2)) |
(/ 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))) |
(* -1/3 (/ (pow z 2) (pow y 2))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
(pow (exp (* -1/2 z)) 2) |
(+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) |
(+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) |
(+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) |
(+ x (/ (pow (exp (* -1/2 z)) 2) y)) |
(+ x (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (pow (exp (* -1/2 z)) 2) y))) |
(+ x (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))) (/ (pow (exp (* -1/2 z)) 2) y))))) |
(/ (pow (exp (* -1/2 z)) 2) y) |
(/ (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) y) |
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) y) |
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) y) |
(exp (* -1/2 z)) |
(+ (exp (* -1/2 z)) (* 1/4 (/ (* (exp (* -1/2 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1/2 z)) (+ (* 1/4 (/ (* (exp (* -1/2 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1/2 z)) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
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(+ (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) (+ (* -1/2 (/ (* (pow y 2) (exp (* 1/2 (* y (+ (log y) (log (/ 1 z))))))) z)) (+ (/ (* (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) (+ (* -1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/48 (pow y 6)) (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) (pow z 2))))) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
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(/ (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 y) (log (/ 1 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 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) |
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2)))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* (pow z 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2)))) |
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2)))) |
(pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) |
(+ (* -1 (/ (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 4) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
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(+ x (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(+ x (+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))) |
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(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) y)) (* y (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))) |
(/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y) |
(+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) y)) (* y (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(+ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (* -1/2 (/ (* (pow y 2) (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) z)) (* 1/2 (* (pow y 2) (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z))) |
(+ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* 1/2 (* (pow y 2) (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (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)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -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)) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | y | @ | inf | ((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (pow (/ y (+ z y)) (/ y 2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1)) |
| 36.0ms | z | @ | 0 | ((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (pow (/ y (+ z y)) (/ y 2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1)) |
| 13.0ms | y | @ | -inf | ((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (pow (/ y (+ z y)) (/ y 2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1)) |
| 7.0ms | z | @ | -inf | ((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (pow (/ y (+ z y)) (/ y 2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1)) |
| 7.0ms | z | @ | inf | ((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (pow (/ y (+ z y)) (/ y 2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1008 | 8682 |
| 1 | 3240 | 7602 |
| 0 | 8852 | 7236 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y) |
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
1 |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
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(/ 1 y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
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(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
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(/ (pow (exp (* -1/2 z)) 2) y) |
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(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y) |
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(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) y)) (* y (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))) |
(/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y) |
(+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) y)) (* y (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(+ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (* -1/2 (/ (* (pow y 2) (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) z)) (* 1/2 (* (pow y 2) (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z))) |
(+ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* 1/2 (* (pow y 2) (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (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)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -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)) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
| Outputs |
|---|
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) y) |
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)) |
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) y) x) |
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
x |
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) (*.f64 x y)) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) (neg.f64 (*.f64 x y))) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #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 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/.f64 (fma.f64 (-.f64 (+.f64 x (log.f64 y)) (log.f64 z)) 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 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) x) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))) y) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) x) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) y) |
(+ 1 (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 1/2 (+ (log y) (log (/ 1 z)))) (* y (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) y (*.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1/2 binary64))) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 1/2 (+ (log y) (log (/ 1 z)))) (* y (- (+ (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/4 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/48 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/4 (/ 1 (pow z 2))))))) (* 1/2 (/ 1 z))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 z z)))) y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z))) y (*.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1/2 binary64))) y #s(literal 1 binary64)) |
(/ (+ 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 (+.f64 (fma.f64 (fma.f64 (-.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)) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) x) y #s(literal 1 binary64)) 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.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)) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) 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))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.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)) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) |
(* -1/3 (/ z (pow y 2))) |
(*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y)) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z))) |
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(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 1/6 binary64))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z)) (/.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1/6 binary64))) (pow.f64 z #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 361 |
| 0 | 73 | 309 |
| 1 | 324 | 309 |
| 2 | 2621 | 308 |
| 0 | 8607 | 302 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) |
(+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) |
(/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) |
(pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 y (+.f64 z y)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 z y)) y) (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (pow.f64 (+.f64 z y) (neg.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 z z (*.f64 (neg.f64 y) y))) y) (pow.f64 (-.f64 z y) y)) |
(*.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) y) (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) y)) |
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (pow.f64 (neg.f64 (+.f64 z y)) #s(literal -1 binary64)) y)) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 z y)) y)) |
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 y (+.f64 z y))) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (pow.f64 (+.f64 z y) (neg.f64 y)) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) (pow.f64 (+.f64 z y) (neg.f64 y))) |
(*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (pow.f64 (exp.f64 y) (neg.f64 (log.f64 (+.f64 z y))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1/4 binary64)) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(pow.f64 (exp.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64))) (*.f64 y #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) (neg.f64 y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 1/2 binary64)) (+.f64 y y)) |
(pow.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) y) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (/.f64 (+.f64 z y) y) (neg.f64 y)) |
(pow.f64 (exp.f64 y) (+.f64 (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64)))) |
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 z y)))) |
(pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)))) |
(pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64)))) |
(pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y (+.f64 z y)) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 (/.f64 y (+.f64 z y)) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 (/.f64 y (+.f64 z y)) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 (/.f64 y (+.f64 z y)) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 (/.f64 y (+.f64 z y)) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 (/.f64 y (+.f64 z y)) (fma.f64 #s(literal 1/2 binary64) y (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 (/.f64 y (+.f64 z y)) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
(pow.f64 (/.f64 y (+.f64 z y)) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) y))) |
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 y) (log.f64 y))) (neg.f64 (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))))) |
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (neg.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (neg.f64 (+.f64 z y))))) |
(/.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) (/.f64 y #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (log.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -2 binary64))) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -2 binary64)))) (neg.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x y) (pow.f64 (/.f64 y (+.f64 z y)) y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -2 binary64))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x y) (pow.f64 (/.f64 y (+.f64 z y)) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64) x) |
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) y) x) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)) (/.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) (+.f64 y y)) x) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) #s(literal 2 binary64)) x) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 (/.f64 (pow.f64 y y) (*.f64 #s(literal 2 binary64) y)) (/.f64 (pow.f64 (+.f64 z y) (neg.f64 y)) #s(literal 1/2 binary64)) x) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(fma.f64 z (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 z (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z)) |
Compiled 39 171 to 4 103 computations (89.5% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 936 | 13 | 949 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 940 | 18 | 958 |
| Status | Accuracy | Program |
|---|---|---|
| 67.7% | (fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) | |
| 59.8% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) z (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z))) y)) | |
| 85.4% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) | |
| 64.0% | (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| ▶ | 86.3% | (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
| ▶ | 70.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| 34.1% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| 64.2% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (fma.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) | |
| 31.2% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) | |
| ▶ | 47.5% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
| ✓ | 67.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| ▶ | 39.2% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
| 67.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))))) | |
| 78.9% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)) | |
| ▶ | 12.1% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
| ✓ | 42.7% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
| 31.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) | |
| ✓ | 41.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 1 121 to 741 computations (33.9% saved)
| 1× | egg-herbie |
Found 18 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 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| cost-diff | 0 | #s(approx (- 1 z) (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) | |
| cost-diff | 0 | #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 706 |
| 0 | 90 | 682 |
| 1 | 141 | 651 |
| 2 | 227 | 644 |
| 3 | 662 | 638 |
| 4 | 2120 | 632 |
| 5 | 3826 | 621 |
| 6 | 6806 | 621 |
| 0 | 8211 | 598 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
x |
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) |
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
#s(literal 1/2 binary64) |
y |
(*.f64 #s(literal -1/3 binary64) (*.f64 z z)) |
#s(literal -1/3 binary64) |
(*.f64 z z) |
(*.f64 y y) |
#s(literal 1 binary64) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (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) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) |
x |
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) |
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)) z) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
#s(literal 1/2 binary64) |
y |
(*.f64 #s(literal -1/3 binary64) (*.f64 z z)) |
(*.f64 (*.f64 z z) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 z z) |
(*.f64 y y) |
#s(literal 1 binary64) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 30.74148912130418 | (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) | |
| accuracy | 50.090463185163415 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) | |
| accuracy | 5.8007564799624705 | (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) | |
| accuracy | 23.86896829677724 | (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y)) | |
| accuracy | 26.19812295914719 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) | |
| accuracy | 41.539526598103656 | #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) | |
| accuracy | 1.2062883914104834 | (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) | |
| accuracy | 1.9536013365802107 | (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) | |
| accuracy | 26.19812295914719 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| accuracy | 30.62898222473997 | #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y) | |
| accuracy | 25.624891035042403 | #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) | |
| accuracy | 37.63060299620123 | #s(approx (- 1 z) (neg.f64 z)) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) | |
| accuracy | 14.403632857794737 | #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) |
| 234.0ms | 99× | 1 | valid |
| 84.0ms | 157× | 0 | valid |
Compiled 398 to 51 computations (87.2% saved)
ival-pow: 75.0ms (29.8% of total)ival-mult: 59.0ms (23.5% of total)ival-div: 37.0ms (14.7% of total)ival-add: 34.0ms (13.5% of total)const: 15.0ms (6% of total)ival-log: 15.0ms (6% of total)adjust: 9.0ms (3.6% of total)ival-exp: 4.0ms (1.6% of total)ival-sub: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) |
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) |
#s(approx (- 1 z) (neg.f64 z)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(*.f64 y y) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y)) |
| Outputs |
|---|
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y) |
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))) 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y) |
1 |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) |
(/ (+ 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) |
(/ (+ 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) |
(+ 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))))))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
(* -1/3 (pow z 2)) |
(+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) |
(pow y 2) |
(* -1/3 (/ z (pow y 2))) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2)) |
(* -1/3 (/ (pow z 2) (pow y 2))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
(+ x (/ (pow (exp (* -1/2 z)) 2) y)) |
(+ x (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (pow (exp (* -1/2 z)) 2) y))) |
(+ x (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))) (/ (pow (exp (* -1/2 z)) 2) y))))) |
(/ (pow (exp (* -1/2 z)) 2) y) |
(/ (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) y) |
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) y) |
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) y) |
(pow (exp (* -1/2 z)) 2) |
(+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) |
(+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) |
(+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) |
(+ 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))))) |
(/ (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)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) |
(+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) |
(+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) |
(* y (* z (+ 1/2 (* -1/2 z)))) |
(* y (+ (* -1/3 (/ (pow z 2) y)) (* z (+ 1/2 (* -1/2 z))))) |
(+ 1/2 (* -1/6 z)) |
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))) |
(- (* z (+ 1/2 (* -1/6 z))) 1) |
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1) |
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1) |
(/ (* z (+ 1/2 (* -1/2 z))) y) |
(/ (+ (* -1/3 (/ (pow z 2) y)) (* z (+ 1/2 (* -1/2 z)))) y) |
(+ x (* -1 (/ (+ (* -1 (pow (exp (* -1/2 z)) 2)) (* -1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) y)) (+ (* 1/2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)))) y)) (* -1 (pow (exp (* -1/2 z)) 2))) y))) |
(* -1 (/ (+ (* -1 (pow (exp (* -1/2 z)) 2)) (* -1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) y)) (+ (* 1/2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)))) y)) (* -1 (pow (exp (* -1/2 z)) 2))) y)) |
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) y)) (* y (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) |
(+ (* -1 (/ (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 4) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) (* (pow y 2) (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 4) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))))) z)) (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (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)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (* y y))) |
| 5.0ms | z | @ | -inf | ((+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (* y y))) |
| 4.0ms | y | @ | inf | ((+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (* y y))) |
| 4.0ms | z | @ | inf | ((+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (* y y))) |
| 3.0ms | y | @ | -inf | ((+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 861 | 7665 |
| 1 | 2730 | 6749 |
| 0 | 8502 | 6416 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y) |
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))) 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y) |
1 |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) |
(/ (+ 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) |
(/ (+ 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) |
(+ 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))))))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
(* -1/3 (pow z 2)) |
(+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) |
(pow y 2) |
(* -1/3 (/ z (pow y 2))) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2)) |
(* -1/3 (/ (pow z 2) (pow y 2))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
(+ x (/ (pow (exp (* -1/2 z)) 2) y)) |
(+ x (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (pow (exp (* -1/2 z)) 2) y))) |
(+ x (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))) (/ (pow (exp (* -1/2 z)) 2) y))))) |
(/ (pow (exp (* -1/2 z)) 2) y) |
(/ (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) y) |
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) y) |
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) y) |
(pow (exp (* -1/2 z)) 2) |
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(/ (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 y) (log (/ 1 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* (pow z 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2)))) |
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2)))) |
(* (pow z 2) (- (* -1/2 y) 1/3)) |
(* (pow z 2) (- (+ (* -1/2 y) (* 1/2 (/ y z))) 1/3)) |
(* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2)))) |
(/ (* (pow z 2) (- (* -1/2 y) 1/3)) (pow y 2)) |
(* (pow z 2) (- (+ (/ -1/2 y) (* 1/2 (/ 1 (* y z)))) (* 1/3 (/ 1 (pow y 2))))) |
(+ x (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(+ x (+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) y)) (* y (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))) |
(/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y) |
(+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) y)) (* y (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) |
(+ (* -1 (/ (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 4) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) (* (pow y 2) (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 4) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))))) z)) (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (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)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
| Outputs |
|---|
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) y) |
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)) |
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) y) x) |
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
x |
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) (*.f64 y x)) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) (neg.f64 (*.f64 y x))) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/.f64 (fma.f64 (-.f64 (+.f64 x (log.f64 y)) (log.f64 z)) 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 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) x) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))) y) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) x) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #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 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) |
(/ (+ 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) |
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(+.f64 (-.f64 x (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) y))) z)) z)) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(fma.f64 (neg.f64 y) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) z) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) 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)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) z))) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)) 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)))))))) (* 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 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) y))) z)) z)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(-.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 y y) (/.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 z))) z)) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(-.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) y (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 z))) z)) |
(* -1 (* z (- 1 (/ 1 z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 1/6 binary64))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z)) (/.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1/6 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 z)) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 612 |
| 0 | 90 | 588 |
| 1 | 418 | 548 |
| 2 | 3695 | 548 |
| 0 | 9603 | 534 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) |
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) |
#s(approx (- 1 z) (neg.f64 z)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(*.f64 y y) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) x))))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64)))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) z (*.f64 #s(literal 1/3 binary64) (*.f64 z z))) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64))) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/9 binary64))) (pow.f64 y #s(literal -2 binary64))) (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) z (*.f64 #s(literal 1/3 binary64) (*.f64 z z)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) z (*.f64 #s(literal 1/3 binary64) (*.f64 z z)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) z (*.f64 #s(literal 1/3 binary64) (*.f64 z z))) (*.f64 y y))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64))) (*.f64 y y))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/9 binary64))) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) z (*.f64 #s(literal 1/3 binary64) (*.f64 z z))))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 3 binary64))) (*.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64)))) (*.f64 y y))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) (*.f64 (neg.f64 y) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64)))))) #s(literal -1 binary64))) |
Compiled 34 916 to 2 674 computations (92.3% saved)
20 alts after pruning (13 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 537 | 4 | 541 |
| Fresh | 1 | 9 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 539 | 20 | 559 |
| Status | Accuracy | Program |
|---|---|---|
| 67.7% | (fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) | |
| 59.8% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) z (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z))) y)) | |
| ▶ | 85.4% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| ▶ | 64.0% | (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| ✓ | 86.3% | (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
| ✓ | 70.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| 34.1% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| 64.2% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (fma.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) | |
| 31.2% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) | |
| ▶ | 57.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)) |
| 47.8% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 #s(approx (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (*.f64 y y))) z #s(literal 1 binary64))) y)) | |
| ✓ | 67.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| ✓ | 39.2% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
| 39.2% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))))) | |
| 78.9% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)) | |
| ✓ | 12.1% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
| ✓ | 42.7% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
| ▶ | 31.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) |
| ✓ | 41.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 2.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
Compiled 1 204 to 800 computations (33.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ y (+ z y)) (/.f64 y z)) | |
| cost-diff | 0 | (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) | |
| cost-diff | 0 | (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) | |
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 0 | #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) | |
| cost-diff | 0 | (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 620 |
| 0 | 95 | 596 |
| 1 | 141 | 581 |
| 2 | 229 | 573 |
| 3 | 717 | 567 |
| 4 | 2177 | 561 |
| 5 | 3998 | 556 |
| 6 | 7228 | 556 |
| 0 | 8197 | 538 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
x |
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) |
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) |
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
x |
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
z |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
#s(literal 1/2 binary64) |
y |
(*.f64 (*.f64 z z) #s(literal -1/3 binary64)) |
(*.f64 z z) |
#s(literal -1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) |
(/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) |
(pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) |
#s(approx (/ y (+ z y)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) |
x |
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) |
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) |
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) |
x |
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
z |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y) |
(*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)) y) z) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)) z) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
#s(literal 1/2 binary64) |
y |
(*.f64 (*.f64 z z) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 z z)) |
(*.f64 z z) |
#s(literal -1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) |
(/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) |
(pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) |
#s(approx (/ y (+ z y)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) | |
| accuracy | 11.739697584648047 | (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) | |
| accuracy | 29.50201787820547 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) | |
| accuracy | 38.02220576497563 | #s(approx (/ y (+ z y)) (/.f64 y z)) | |
| accuracy | 5.8007564799624705 | (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) | |
| accuracy | 11.415832331030582 | (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) | |
| accuracy | 26.19812295914719 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) | |
| accuracy | 41.539526598103656 | #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) | |
| accuracy | 25.926205756381687 | #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 30.519459974224176 | #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 50.090463185163415 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0.0 | (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) | |
| accuracy | 0.015625 | (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) | |
| accuracy | 24.87996100755517 | #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
| 209.0ms | 119× | 1 | valid |
| 118.0ms | 27× | 2 | valid |
| 51.0ms | 110× | 0 | valid |
Compiled 372 to 56 computations (84.9% saved)
ival-pow: 167.0ms (49.3% of total)ival-mult: 51.0ms (15.1% of total)ival-add: 36.0ms (10.6% of total)ival-div: 28.0ms (8.3% of total)ival-log: 22.0ms (6.5% of total)adjust: 17.0ms (5% of total)const: 12.0ms (3.5% of total)ival-exp: 4.0ms (1.2% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) |
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) |
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) |
(/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) |
(pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) |
#s(approx (/ y (+ z y)) (/.f64 y z)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y) |
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* 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) |
(/ (+ 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) |
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))))))) |
(* 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 y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) |
(* 1/2 (/ (pow z 2) y)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y) |
(* -1/3 (pow z 2)) |
(+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 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))) |
(* 1/2 (/ z y)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(* -1/3 (/ (pow z 2) (pow y 2))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
(* -1/3 (/ (pow z 2) y)) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) y) |
(+ 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))))) |
(/ (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)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) |
(+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) |
(+ x (/ (pow (exp (* -1/2 z)) 2) y)) |
(+ x (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (pow (exp (* -1/2 z)) 2) y))) |
(+ x (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))) (/ (pow (exp (* -1/2 z)) 2) y))))) |
(/ (pow (exp (* -1/2 z)) 2) y) |
(/ (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) y) |
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) y) |
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) y) |
(pow (exp (* -1/2 z)) 2) |
(+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) |
(+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) |
(+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) |
(+ 1 (* z (- (* 1/2 z) 1))) |
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) |
(* y (* z (+ 1/2 (* -1/2 z)))) |
(* y (+ (* -1/3 (/ (pow z 2) y)) (* z (+ 1/2 (* -1/2 z))))) |
(+ 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))) |
(- (* 1/2 z) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(- (* z (+ 1/2 (* -1/6 z))) 1) |
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1) |
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1) |
(* z (+ 1/2 (* -1/2 z))) |
(+ (* -1/3 (/ (pow z 2) y)) (* z (+ 1/2 (* -1/2 z)))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(* -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)) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (* -1 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))) |
(+ x (* -1 (/ (+ (* -1 (pow (exp (* -1/2 z)) 2)) (* -1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) y)) (+ (* 1/2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)))) y)) (* -1 (pow (exp (* -1/2 z)) 2))) y))) |
(* -1 (/ (+ (* -1 (pow (exp (* -1/2 z)) 2)) (* -1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) y)) (+ (* 1/2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)))) y)) (* -1 (pow (exp (* -1/2 z)) 2))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/16 (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))) (* 2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))))) (+ (* -1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)))) y)) (* 1/2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)) (* -1 (pow (exp (* -1/2 z)) 2))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))) (* 2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))))) y)) (* -1/2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)) (pow (exp (* -1/2 z)) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))))) (* 2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))))) y)) (+ (* 1/16 (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))) (* 2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))))) y)) (* -1/2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)) (pow (exp (* -1/2 z)) 2)) |
(* -1 (* y (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) 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 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
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(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | y | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) y)) |
| 3.0ms | y | @ | inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) y)) |
| 3.0ms | z | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) y)) |
| 3.0ms | z | @ | inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) y)) |
| 3.0ms | y | @ | 0 | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 958 | 7979 |
| 1 | 3014 | 6963 |
| 0 | 8996 | 6631 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y) |
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* 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) |
(/ (+ 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) |
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))))))) |
(* 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 y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) |
(* 1/2 (/ (pow z 2) y)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y) |
(* -1/3 (pow z 2)) |
(+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 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))) |
(* 1/2 (/ z y)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(* -1/3 (/ (pow z 2) (pow y 2))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
(* -1/3 (/ (pow z 2) y)) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) y) |
(+ 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))))) |
(/ (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)) |
(+ (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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(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) |
(+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) |
(+ x (/ (pow (exp (* -1/2 z)) 2) y)) |
(+ x (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (pow (exp (* -1/2 z)) 2) y))) |
(+ x (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))) (/ (pow (exp (* -1/2 z)) 2) y))))) |
(/ (pow (exp (* -1/2 z)) 2) y) |
(/ (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) y) |
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) y) |
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) y) |
(pow (exp (* -1/2 z)) 2) |
(+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) |
(+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) |
(+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) |
(+ 1 (* z (- (* 1/2 z) 1))) |
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) |
(* y (* z (+ 1/2 (* -1/2 z)))) |
(* y (+ (* -1/3 (/ (pow z 2) y)) (* z (+ 1/2 (* -1/2 z))))) |
(+ 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))) |
(- (* 1/2 z) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(- (* z (+ 1/2 (* -1/6 z))) 1) |
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1) |
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1) |
(* z (+ 1/2 (* -1/2 z))) |
(+ (* -1/3 (/ (pow z 2) y)) (* z (+ 1/2 (* -1/2 z)))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(* -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)) |
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(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(* y (+ (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))))) |
(+ x (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(+ x (+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) y)) (* y (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))) |
(/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y) |
(+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) y)) (* y (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)) |
(pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) |
(+ (* -1 (/ (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 4) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) (* (pow y 2) (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 4) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))))) z)) (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y))))) |
(* -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)) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) y) |
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)) |
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) y) x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) (*.f64 y x)) x x) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) (neg.f64 (*.f64 y x))) #s(literal 1 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/.f64 (fma.f64 (-.f64 (+.f64 x (log.f64 y)) (log.f64 z)) 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 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) x) y #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 (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z)) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) x) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z)) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #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 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y #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 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z)) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) |
(* y (+ (log y) (log (/ 1 z)))) |
(*.f64 (-.f64 (log.f64 y) (log.f64 z)) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))) |
(*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 y z) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) y (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))) y) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) x) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) y) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) |
(* 1/2 (/ (pow z 2) y)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) |
(* -1/3 (pow z 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 z z)) |
(+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z))) y) |
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (-.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y (/.f64 #s(literal 1 binary64) z)) y) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 z z))) y (/.f64 #s(literal 1 binary64) z)) y) |
(* 1/2 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y) |
(* -1/3 (/ (pow z 2) (pow y 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 z z) y)) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y)) |
(* -1/3 (/ (pow z 2) y)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/3 binary64)) |
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(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) y) (/.f64 (fma.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) y (/.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) y) (/.f64 (fma.f64 (*.f64 y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y) #s(literal 1/12 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/48 binary64)))) y)) #s(literal 2 binary64))) (neg.f64 z)))) (neg.f64 z))) z)) |
(pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) |
(+ (* -1 (/ (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) z) (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 4) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(-.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) y) y (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)))) (neg.f64 z))) z)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) (* (pow y 2) (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 4) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))))) z)) (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) |
(-.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) y) y (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y) #s(literal 1/12 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/48 binary64))))) (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64)))) z)) (neg.f64 z))) z)) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z)) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(/.f64 (-.f64 (/.f64 (*.f64 y y) z) y) (neg.f64 z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 y y)) (neg.f64 z)) y) (neg.f64 z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z)) (*.f64 y y)) (neg.f64 z)) y) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64) #s(literal -1/2 binary64)) z #s(literal 1 binary64))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 507 |
| 0 | 95 | 483 |
| 1 | 410 | 459 |
| 2 | 3455 | 459 |
| 0 | 9044 | 451 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) |
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) |
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) |
(/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) |
(pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) |
#s(approx (/ y (+ z y)) (/.f64 y z)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))) (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))) |
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(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))))) #s(literal -1 binary64))) |
Compiled 30 513 to 2 819 computations (90.8% saved)
21 alts after pruning (11 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 532 | 4 | 536 |
| Fresh | 1 | 7 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 535 | 21 | 556 |
| Status | Accuracy | Program |
|---|---|---|
| 85.4% | (fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x) | |
| 67.7% | (fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) | |
| 59.8% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) z (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z))) y)) | |
| ✓ | 85.4% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| 71.0% | (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) | |
| 65.4% | (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)) | |
| 61.7% | (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y)) | |
| ✓ | 86.3% | (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
| ✓ | 70.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| 34.1% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| 64.2% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (fma.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) | |
| 31.2% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) | |
| 47.8% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 #s(approx (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (*.f64 y y))) z #s(literal 1 binary64))) y)) | |
| ✓ | 67.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| ✓ | 39.2% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
| 78.9% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)) | |
| ✓ | 12.1% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
| ✓ | 42.7% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
| ✓ | 31.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) |
| ✓ | 41.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 2.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
Compiled 1 769 to 709 computations (59.9% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 #s(approx (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (fma.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)) |
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
(+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) z (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x) |
5 calls:
| 84.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 11.0ms | z |
| 11.0ms | x |
| 9.0ms | y |
| 9.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.2% | 1 | x |
| 99.5% | 3 | y |
| 92.0% | 3 | z |
| 88.2% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 95.5% | 3 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
Compiled 27 to 28 computations (-3.7% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 #s(approx (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (fma.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
1 calls:
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 #s(approx (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (fma.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
2 calls:
| 7.0ms | y |
| 7.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 2 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 90.5% | 2 | y |
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
4 calls:
| 5.0ms | y |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 1 | x |
| 88.0% | 2 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 87.9% | 2 | z |
| 89.7% | 2 | y |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
4 calls:
| 4.0ms | y |
| 3.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 3.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 1 | z |
| 86.3% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 86.3% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 86.3% | 1 | y |
Compiled 26 to 25 computations (3.8% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
5 calls:
| 3.0ms | y |
| 1.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 1.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.4% | 1 | z |
| 41.4% | 1 | x |
| 41.4% | 1 | y |
| 41.4% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 41.4% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
Compiled 27 to 28 computations (-3.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
| Outputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.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 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.2% | 1 | z |
| 2.2% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 2.2% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 2.2% | 1 | y |
| 2.2% | 1 | x |
Compiled 27 to 28 computations (-3.7% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 6.486795766469453e-43 | 1.2863492244899138e-31 |
| 21.0ms | -27734634.61165961 | -1529.9297739539802 |
| 20.0ms | 256× | 0 | valid |
| 5.0ms | 72× | 0 | invalid |
Compiled 528 to 448 computations (15.2% saved)
ival-div: 4.0ms (23.6% of total)ival-log: 4.0ms (23.6% of total)ival-exp: 3.0ms (17.7% of total)ival-add: 3.0ms (17.7% of total)ival-mult: 2.0ms (11.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.486795766469453e-43 | 1.2863492244899138e-31 |
| 1.0ms | -27734634.61165961 | -1529.9297739539802 |
Compiled 512 to 432 computations (15.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -27734634.61165961 | -1529.9297739539802 |
Compiled 520 to 344 computations (33.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -27734634.61165961 | -1529.9297739539802 |
Compiled 464 to 320 computations (31% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 263 |
| 1 | 85 | 249 |
| 2 | 105 | 249 |
| 3 | 131 | 249 |
| 4 | 144 | 245 |
| 5 | 156 | 241 |
| 6 | 178 | 241 |
| 7 | 450 | 241 |
| 8 | 4207 | 241 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x))) |
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))) |
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x))) |
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))) |
(if (or (<=.f64 y #s(literal -1550 binary64)) (not (<=.f64 y #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)))) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 y #s(literal -1 binary64))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 958 | 7979 |
| 1 | 3014 | 6963 |
| 0 | 8996 | 6631 |
| 0 | 1008 | 8682 |
| 1 | 3240 | 7602 |
| 0 | 8852 | 7236 |
| 0 | 10 | 52 |
| 0 | 17 | 52 |
| 1 | 64 | 46 |
| 2 | 458 | 46 |
| 3 | 6476 | 46 |
| 0 | 8047 | 46 |
| 0 | 65 | 507 |
| 0 | 95 | 483 |
| 1 | 410 | 459 |
| 2 | 3455 | 459 |
| 0 | 9044 | 451 |
| 0 | 861 | 7665 |
| 1 | 2730 | 6749 |
| 0 | 8502 | 6416 |
| 0 | 45 | 361 |
| 0 | 73 | 309 |
| 1 | 324 | 309 |
| 2 | 2621 | 308 |
| 0 | 8607 | 302 |
| 0 | 603 | 3912 |
| 1 | 1814 | 3296 |
| 2 | 6042 | 2954 |
| 0 | 8238 | 2801 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 464 to 217 computations (53.2% saved)
Compiled 602 to 184 computations (69.4% saved)
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