
Time bar (total: 8.1s)
| 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)
| 889.0ms | 6 008× | 0 | valid |
| 847.0ms | 2 248× | 1 | valid |
| 75.0ms | 1 005× | 0 | invalid |
| 2.0ms | 19× | 1 | exit |
ival-log: 556.0ms (39.9% of total)ival-exp: 292.0ms (21% of total)ival-div: 255.0ms (18.3% of total)ival-add: 132.0ms (9.5% of total)ival-mult: 78.0ms (5.6% of total)adjust: 67.0ms (4.8% of total)ival-true: 8.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 161 | 39 | (-3.714398138881812e+83 2.317708007023499e+31 -1.3744243915743436e-293) | 2 | (9.74513327122682e+143 1.1148384265924046e-90 3.5061621701303588e+233) | (log.f64 (/.f64 y (+.f64 z y))) |
| 44 | 0 | - | 5 | (4.852447529987437e+298 2.0043301193222747e+259 -4.071479963267645e-58) | (*.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 | 177 | 0 |
log.f64 | (log.f64 (/.f64 y (+.f64 z y))) | uflow-rescue | 17 | 0 |
| ↳ | (log.f64 (/.f64 y (+.f64 z y))) | underflow | 39 | |
| ↳ | (/.f64 y (+.f64 z y)) | underflow | 21 | |
*.f64 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | n*u | 8 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 40 | 4 |
| - | 154 | 58 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 40 | 0 | 4 |
| - | 154 | 0 | 58 |
| number | freq |
|---|---|
| 0 | 62 |
| 1 | 186 |
| 2 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 118.0ms | 284× | 1 | valid |
| 24.0ms | 52× | 2 | valid |
| 18.0ms | 176× | 0 | valid |
Compiled 133 to 34 computations (74.4% saved)
ival-log: 51.0ms (43.6% of total)adjust: 28.0ms (23.9% of total)ival-div: 13.0ms (11.1% of total)ival-add: 9.0ms (7.7% of total)ival-mult: 8.0ms (6.8% of total)ival-exp: 8.0ms (6.8% 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 |
|---|---|---|
| ▶ | 83.5% | (+.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 | 0.01171875 | (/.f64 y (+.f64 z y)) | |
| accuracy | 0.015625 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) | |
| accuracy | 9.571770354602842 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | |
| accuracy | 35.904491943705985 | (log.f64 (/.f64 y (+.f64 z y))) |
| 66.0ms | 142× | 1 | valid |
| 16.0ms | 88× | 0 | valid |
| 12.0ms | 26× | 2 | valid |
Compiled 60 to 12 computations (80% saved)
ival-log: 25.0ms (38.5% of total)ival-div: 24.0ms (37% of total)ival-add: 5.0ms (7.7% of total)adjust: 4.0ms (6.2% of total)ival-exp: 4.0ms (6.2% of total)ival-mult: 3.0ms (4.6% 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))) |
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(+ 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 | 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))) |
| 6.0ms | 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))) |
| 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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(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -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 |
|---|---|---|
| 15.8% | (/.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))))) | |
| 86.2% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) | |
| ▶ | 59.9% | (+.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)) |
| ▶ | 66.0% | (+.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)) |
| 70.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) | |
| ▶ | 86.5% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
| 64.5% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) | |
| ▶ | 21.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y)) |
| ▶ | 36.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 486 to 306 computations (37% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) 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 | (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 (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))) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 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)) | |
| 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 | #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 452 |
| 0 | 76 | 452 |
| 1 | 116 | 430 |
| 2 | 214 | 430 |
| 3 | 767 | 430 |
| 4 | 2510 | 430 |
| 5 | 6128 | 430 |
| 0 | 8061 | 418 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#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))))) (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 (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 (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 (+.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 (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 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) |
(-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) |
(+.f64 (log.f64 y) x) |
(log.f64 y) |
y |
x |
(log.f64 z) |
z |
#s(literal 1 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #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 (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#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))))) (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 (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 (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 (+.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 (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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (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 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) |
(-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) |
(+.f64 (log.f64 y) x) |
(log.f64 y) |
y |
x |
(log.f64 z) |
z |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) | |
| accuracy | 0.10369126731558297 | (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) | |
| accuracy | 1.8904147208041797 | (/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y) | |
| accuracy | 4.53803006034053 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y)) | |
| accuracy | 0.0859375 | (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) | |
| accuracy | 0.48163899694177864 | (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 | 0.7308191114798465 | (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 | 10.622380789214162 | #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 | 0.0078125 | (+.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)) | |
| accuracy | 0.01953125 | (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 | 0.02734375 | (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) | |
| accuracy | 10.163741798537869 | #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))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 11.875546060857653 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) | |
| accuracy | 0.0078125 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) | |
| accuracy | 4.359275889591469 | #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) |
| 74.0ms | 176× | 0 | invalid |
| 26.0ms | 49× | 0 | valid |
| 24.0ms | 31× | 1 | valid |
Compiled 328 to 42 computations (87.2% saved)
ival-add: 37.0ms (41.5% of total)ival-log: 14.0ms (15.7% of total)ival-mult: 13.0ms (14.6% of total)ival-div: 10.0ms (11.2% of total)const: 7.0ms (7.8% of total)adjust: 3.0ms (3.4% of total)ival-exp: 2.0ms (2.2% of total)ival-sub: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 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))))) (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 (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 (+.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 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) |
(-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 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)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (+ 1 (* y (- (log y) (log z)))) y) |
(+ x (+ (- (log y) (log z)) (/ 1 y))) |
(+ 1 (* y (- (log y) (log z)))) |
(+ 1 (+ (* x y) (* y (- (log y) (log z))))) |
(- (log y) (log z)) |
(- (+ x (log y)) (log z)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ (log y) x))) (/ (log z) x))) |
(* x y) |
(* x (+ y (+ (/ 1 x) (/ (* y (- (log y) (log z))) x)))) |
(* x (- (+ 1 (/ (log y) x)) (/ (log z) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (log y) (/ 1 y)) (log z)) x)) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* y (- (log y) (log z)))) x))))) |
(* -1 (* x (- (* -1 (/ (- (log y) (log z)) x)) 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))))))) |
(* 1/2 (/ (pow z 2) y)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y) |
(* -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 (* y (- (+ x (log y)) (log z)))) y) |
(+ 1 (* y (- (+ x (log y)) (log 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 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) |
(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 (- (* 1/2 z) 1))) |
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) |
(+ 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)))))) |
(- (+ x (* -1 (log (/ 1 y)))) (log z)) |
(- (+ x (+ (* -1 (log (/ 1 y))) (/ 1 y))) (log z)) |
(* y (- (+ x (* -1 (log (/ 1 y)))) (log z))) |
(* y (- (+ x (+ (* -1 (log (/ 1 y))) (/ 1 y))) (log z))) |
(- (* 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) |
(+ 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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(* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* (pow z 2) (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z))) |
(* -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 (* y (- (+ x (log y)) (* -1 (log (/ 1 z)))))) y) |
(+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z)))))) |
(- (+ x (log y)) (* -1 (log (/ 1 z)))) |
(* z (+ 1/2 (* 1/2 (/ 1 y)))) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 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))))) |
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(+ 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))) |
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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)) |
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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))) |
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(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 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))))))) |
(/ (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) y) |
(+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) |
(- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | y | @ | 0 | ((+ 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)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (+ 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)) (/ (+ (* (- (+ (log y) x) (log z)) y) 1) y) (+ (* (- (+ (log y) x) (log z)) y) 1) (- (+ (log y) x) (log 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) (/ 1/3 (* y y))) |
| 40.0ms | y | @ | -inf | ((+ 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)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (+ 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)) (/ (+ (* (- (+ (log y) x) (log z)) y) 1) y) (+ (* (- (+ (log y) x) (log z)) y) 1) (- (+ (log y) x) (log 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) (/ 1/3 (* y y))) |
| 29.0ms | x | @ | 0 | ((+ 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)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (+ 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)) (/ (+ (* (- (+ (log y) x) (log z)) y) 1) y) (+ (* (- (+ (log y) x) (log z)) y) 1) (- (+ (log y) x) (log 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) (/ 1/3 (* y y))) |
| 27.0ms | z | @ | 0 | ((+ 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)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (+ 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)) (/ (+ (* (- (+ (log y) x) (log z)) y) 1) y) (+ (* (- (+ (log y) x) (log z)) y) 1) (- (+ (log y) x) (log 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) (/ 1/3 (* y y))) |
| 22.0ms | y | @ | inf | ((+ 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)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (+ 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)) (/ (+ (* (- (+ (log y) x) (log z)) y) 1) y) (+ (* (- (+ (log y) x) (log z)) y) 1) (- (+ (log y) x) (log 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) (/ 1/3 (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 557 | 3653 |
| 1 | 1702 | 3257 |
| 2 | 5694 | 2978 |
| 0 | 8090 | 2815 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (+ 1 (* y (- (log y) (log z)))) y) |
(+ x (+ (- (log y) (log z)) (/ 1 y))) |
(+ 1 (* y (- (log y) (log z)))) |
(+ 1 (+ (* x y) (* y (- (log y) (log z))))) |
(- (log y) (log z)) |
(- (+ x (log y)) (log z)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ (log y) x))) (/ (log z) x))) |
(* x y) |
(* x (+ y (+ (/ 1 x) (/ (* y (- (log y) (log z))) x)))) |
(* x (- (+ 1 (/ (log y) x)) (/ (log z) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (log y) (/ 1 y)) (log z)) x)) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* y (- (log y) (log z)))) x))))) |
(* -1 (* x (- (* -1 (/ (- (log y) (log z)) x)) 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))))))) |
(* 1/2 (/ (pow z 2) y)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y) |
(* -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 (* y (- (+ x (log y)) (log z)))) y) |
(+ 1 (* y (- (+ x (log y)) (log 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 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) |
(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 (- (* 1/2 z) 1))) |
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) |
(+ 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)))))) |
(- (+ x (* -1 (log (/ 1 y)))) (log z)) |
(- (+ x (+ (* -1 (log (/ 1 y))) (/ 1 y))) (log z)) |
(* y (- (+ x (* -1 (log (/ 1 y)))) (log z))) |
(* y (- (+ x (+ (* -1 (log (/ 1 y))) (/ 1 y))) (log z))) |
(- (* 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) |
(+ 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))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z))) |
(- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z)) |
(- (+ x (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ 1 y)))) (log z)) |
(* y (- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z))) |
(* -1 (* y (- (* -1 (- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z))) (/ 1 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))) |
(+ 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)) |
(+ 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))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))) |
-1 |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1) |
(+ 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)))))) |
(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))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* (pow z 2) (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z))) |
(* -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 (* y (- (+ x (log y)) (* -1 (log (/ 1 z)))))) y) |
(+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z)))))) |
(- (+ x (log y)) (* -1 (log (/ 1 z)))) |
(* z (+ 1/2 (* 1/2 (/ 1 y)))) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 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)))) |
(+ 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))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 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))))))) |
(/ (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) y) |
(+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) |
(- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 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) |
(/ (+ 1 (* y (- (log y) (log z)))) y) |
(/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) y) |
(+ x (+ (- (log y) (log z)) (/ 1 y))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (log.f64 y)) (log.f64 z)) |
(+ 1 (* y (- (log y) (log z)))) |
(fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) |
(+ 1 (+ (* x y) (* y (- (log y) (log z))))) |
(fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) |
(- (log y) (log z)) |
(-.f64 (log.f64 y) (log.f64 z)) |
(- (+ x (log y)) (log z)) |
(-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) |
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) |
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ (log y) x))) (/ (log z) x))) |
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) x)) #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (/ 1 x) (/ (* y (- (log y) (log z))) x)))) |
(fma.f64 y x (fma.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y x)) x #s(literal 1 binary64))) |
(* x (- (+ 1 (/ (log y) x)) (/ (log z) x))) |
(*.f64 (+.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) x) #s(literal 1 binary64)) 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 (* x (- (* -1 (/ (- (+ (log y) (/ 1 y)) (log z)) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y)) (log.f64 z)) x))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* y (- (log y) (log z)))) x))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) x) y) x) |
(* -1 (* x (- (* -1 (/ (- (log y) (log z)) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (log.f64 z) (log.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 (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 (-.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) |
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(+ (* -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 (-.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)) (-.f64 (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) y) #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))) (*.f64 z y)))) z)) 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 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (*.f64 y y)) (neg.f64 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)) (-.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) z)))) (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))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z)) (*.f64 z z)) |
(* -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 (+.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 1/2 binary64) y) #s(literal 1/2 binary64)) z)) (neg.f64 z)) |
(/ (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) y) |
(/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) y #s(literal 1 binary64)) y) |
(+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) |
(fma.f64 (-.f64 (+.f64 (log.f64 y) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) y #s(literal 1 binary64)) |
(- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))) |
(-.f64 (+.f64 (log.f64 y) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #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 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) z)) z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 359 |
| 0 | 76 | 359 |
| 1 | 352 | 337 |
| 2 | 3213 | 333 |
| 0 | 8290 | 328 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 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))))) (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 (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 (+.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 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) |
(-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 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)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #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 (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #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 (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) x) |
(fma.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) (/.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(pow.f64 (/.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 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 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #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 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 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 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 z (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) |
(pow.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) y)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) y) y) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y)))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64))) #s(literal -1 binary64))) |
Compiled 24 368 to 2 601 computations (89.3% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 537 | 8 | 545 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 541 | 13 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.2% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| 70.2% | (+.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)) | |
| ▶ | 53.8% | (+.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 (/.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)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| ▶ | 69.9% | (+.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)) |
| ▶ | 67.9% | (+.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)) |
| 70.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) | |
| 69.0% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) | |
| ✓ | 86.5% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
| ✓ | 21.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y)) |
| 33.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (+.f64 x (log.f64 (/.f64 y z))) y #s(literal 1 binary64)) y)) | |
| ▶ | 44.1% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y)) |
| 33.3% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (+.f64 x (log.f64 (/.f64 y z))) y #s(literal 1 binary64))))) | |
| ✓ | 36.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 724 to 501 computations (30.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) (/.f64 (/.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)) y) y)) 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)) (/.f64 (/.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)) y) y)) 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)) (/.f64 (/.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)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| cost-diff | 1 | (/.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)) y) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 0 | (+.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)) | |
| cost-diff | 1 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) | |
| cost-diff | 2 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 0 | (+.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)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) 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 | 71 | 824 |
| 0 | 107 | 824 |
| 1 | 167 | 798 |
| 2 | 280 | 798 |
| 3 | 806 | 798 |
| 4 | 1894 | 798 |
| 5 | 3003 | 792 |
| 6 | 4819 | 792 |
| 7 | 6187 | 772 |
| 0 | 8027 | 746 |
| 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)) (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y)) |
(/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y) |
#s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(+.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)) |
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) |
#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))) |
(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)) |
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 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)) |
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) |
#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))) |
(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)) |
#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)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
y |
(*.f64 #s(literal 1/2 binary64) z) |
#s(literal 1 binary64) |
(+.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 (/.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)) y) y)) 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)) (/.f64 (/.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)) y) y)) 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)) (/.f64 (/.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)) y) y)) 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)) (/.f64 (/.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)) y) y)) 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)) (/.f64 (/.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)) 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)) (/.f64 (/.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)) y) y)) |
(/.f64 (/.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)) y) y) |
(/.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)) y) |
(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)) |
(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))) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
#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)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| 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)) (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y)) |
(/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y) |
#s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(+.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 (/.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) x) |
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) |
#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))) |
(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)) |
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 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 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (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 (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 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (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 (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))) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (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 #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)) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (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 (+ (* (+ (/ 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)) |
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
y |
(*.f64 #s(literal 1/2 binary64) z) |
#s(literal 1 binary64) |
(+.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 (/.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)) y) y)) 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)) (/.f64 (-.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))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) z)) y)) 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)) (/.f64 (/.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)) y) y)) 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)) (/.f64 (-.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))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) z)) y)) 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)) (/.f64 (/.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)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
#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 (-.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))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) z)) y)) 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)) (/.f64 (/.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)) y) y)) 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)) (/.f64 (-.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))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) z)) y)) 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)) (/.f64 (/.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)) 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)) (/.f64 (-.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))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) z)) y)) z #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (-.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))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) z)) y)) |
(/.f64 (/.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)) y) y) |
(/.f64 (-.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))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) z)) y) |
(/.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)) y) |
(-.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))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) z)) |
(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)) |
(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))) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
#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)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.48163899694177864 | (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z #s(literal -1 binary64)) | |
| accuracy | 2.3327193402990836 | (/.f64 (/.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)) y) y) | |
| accuracy | 3.023417348472471 | (/.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)) y) | |
| accuracy | 10.622380789214162 | #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 (/.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)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (+.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)) | |
| accuracy | 0.01953125 | (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)) | |
| accuracy | 2.3171894062205336 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y) | |
| accuracy | 10.163741798537869 | #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))) | |
| accuracy | 0.0078125 | (+.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)) | |
| accuracy | 0.01953125 | (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)) | |
| accuracy | 7.010416110483084 | #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) | |
| accuracy | 10.163741798537869 | #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))) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 1.8904147208041797 | (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y) | |
| accuracy | 4.53803006034053 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y)) | |
| accuracy | 11.65779537493968 | #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.0 | (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) | |
| accuracy | 0.0078125 | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) | |
| accuracy | 8.862383464019727 | #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
| 79.0ms | 176× | 0 | invalid |
| 48.0ms | 31× | 1 | valid |
| 45.0ms | 38× | 0 | valid |
| 14.0ms | 11× | 2 | valid |
Compiled 452 to 61 computations (86.5% saved)
ival-div: 31.0ms (19.7% of total)ival-sub: 30.0ms (19.1% of total)ival-mult: 26.0ms (16.5% of total)ival-add: 22.0ms (14% of total)ival-log: 22.0ms (14% of total)const: 13.0ms (8.3% of total)adjust: 6.0ms (3.8% of total)ival-neg: 5.0ms (3.2% of total)ival-exp: 2.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 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)) (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y)) |
(/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y) |
#s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) |
(*.f64 y x) |
(+.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 #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) |
#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))) |
(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)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) |
(+.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 #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 (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)) 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 (/.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)) y) y)) 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)) (/.f64 (/.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)) y) y)) 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)) (/.f64 (/.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)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(neg.f64 z) |
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) |
#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))) |
(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)) |
(/.f64 (/.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)) y) y) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z #s(literal -1 binary64)) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (+ 1 (* y (- (log y) (log z)))) y) |
(+ x (+ (- (log y) (log z)) (/ 1 y))) |
(+ 1 (* y (- (log y) (log z)))) |
(+ 1 (+ (* x y) (* y (- (log y) (log z))))) |
(* x y) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ (log y) x))) (/ (log z) x))) |
(* x (+ y (+ (/ 1 x) (/ (* y (- (log y) (log z))) x)))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (log y) (/ 1 y)) (log z)) x)) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* y (- (log y) (log z)))) x))))) |
(/ 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 (- (+ x (log y)) (log z)))) y) |
(+ 1 (* y (- (+ x (log y)) (log z)))) |
(* 1/2 (/ (pow z 2) y)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y) |
(* 1/2 (/ z y)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(* 1/2 z) |
(+ (* 1/2 z) (* y (- (* 1/2 z) 1))) |
(* -1/3 (/ z y)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) y) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) y) |
(* -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 (/ (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 (* -1 (log (/ 1 y)))) (log z)) |
(- (+ x (+ (* -1 (log (/ 1 y))) (/ 1 y))) (log z)) |
(* y (- (+ x (* -1 (log (/ 1 y)))) (log z))) |
(* y (- (+ x (+ (* -1 (log (/ 1 y))) (/ 1 y))) (log z))) |
(+ 1 (* z (- (* 1/2 z) 1))) |
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) |
(- (* 1/2 z) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(* y (- (* 1/2 z) 1)) |
(* y (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)) |
(* y (+ 1/2 (* -1/6 z))) |
(* y (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))) |
(* y (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y))))))) |
(+ 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) |
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(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
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(* -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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(- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z)) |
(- (+ x (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ 1 y)))) (log z)) |
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(* -1 (* y (- (* -1 (- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z))) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (* -1/2 z)) y))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (+ (* -1/2 z) (* -1/3 (/ z y)))) y))))) |
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(- (+ (* -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))) |
(+ 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)) |
(+ 1 (* -1 z)) |
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(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(* 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)) |
-1 |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(* -1 y) |
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))) |
(+ 1/2 (* 1/2 y)) |
(+ 1/2 (+ (* 1/2 y) (* z (- (* -1/6 y) (+ 1/2 (* 1/3 (/ 1 y))))))) |
(/ (+ 1/2 (* 1/2 y)) y) |
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(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1) |
(+ 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))) |
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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)) |
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(+ (* -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 (/ (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))))))) |
(/ (+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z)))))) y) |
(+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z)))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* (pow z 2) (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z))) |
(/ (* z (+ 1/2 (* 1/2 y))) y) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* z (+ 1/2 (* 1/2 y))) |
(* z (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y)))) |
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) y) |
(* z (- (+ (* 1/2 (/ y z)) (+ (- (* -1/6 y) 1/2) (* 1/2 (/ 1 z)))) (* 1/3 (/ 1 y)))) |
(* z (+ 1/2 (* 1/2 (/ 1 y)))) |
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) (pow y 2)) |
(* z (- (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ (- (* -1/6 y) 1/2) y))) (* 1/3 (/ 1 (pow y 2))))) |
(* -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)))) |
(+ 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))) |
(* 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))))) |
(/ (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) y) |
(+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y))))) |
(* -1 (/ (* z (- (* -1/2 y) 1/2)) y)) |
(* -1 (* z (- (+ -1/2 (/ 1 z)) (* 1/2 (/ 1 y))))) |
(* -1 (* z (- (* -1/2 y) 1/2))) |
(* -1 (* z (- (+ (* -1/2 y) (/ y z)) 1/2))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) y)) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 y)) z)) (+ (+ 1/2 (* 1/6 y)) (* 1/3 (/ 1 y)))))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (/ (+ 1/2 (* 1/6 y)) 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 | |
|---|---|---|---|---|
| 39.0ms | 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)) (/ (+ (* (- (+ (log y) x) (log z)) y) 1) y) (+ (* (- (+ (log y) x) (log z)) y) 1) (* y x) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (neg z) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 22.0ms | 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)) (/ (+ (* (- (+ (log y) x) (log z)) y) 1) y) (+ (* (- (+ (log y) x) (log z)) y) 1) (* y x) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (neg z) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 17.0ms | 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)) (/ (+ (* (- (+ (log y) x) (log z)) y) 1) y) (+ (* (- (+ (log y) x) (log z)) y) 1) (* y x) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (neg z) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
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| 9.0ms | x | @ | 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)) (/ (+ (* (- (+ (log y) x) (log z)) y) 1) y) (+ (* (- (+ (log y) x) (log z)) y) 1) (* y x) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (neg z) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 718 | 4449 |
| 1 | 2212 | 3943 |
| 2 | 7610 | 3910 |
| 0 | 8256 | 3672 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
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x |
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(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* y (- (log y) (log z)))) x))))) |
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(+ (* -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 (/ (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))))))) |
(/ (+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z)))))) y) |
(+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z)))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* (pow z 2) (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z))) |
(/ (* z (+ 1/2 (* 1/2 y))) y) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* z (+ 1/2 (* 1/2 y))) |
(* z (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y)))) |
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) y) |
(* z (- (+ (* 1/2 (/ y z)) (+ (- (* -1/6 y) 1/2) (* 1/2 (/ 1 z)))) (* 1/3 (/ 1 y)))) |
(* z (+ 1/2 (* 1/2 (/ 1 y)))) |
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) (pow y 2)) |
(* z (- (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ (- (* -1/6 y) 1/2) y))) (* 1/3 (/ 1 (pow y 2))))) |
(* -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)))) |
(+ 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))) |
(* 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))))) |
(/ (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) y) |
(+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y))))) |
(* -1 (/ (* z (- (* -1/2 y) 1/2)) y)) |
(* -1 (* z (- (+ -1/2 (/ 1 z)) (* 1/2 (/ 1 y))))) |
(* -1 (* z (- (* -1/2 y) 1/2))) |
(* -1 (* z (- (+ (* -1/2 y) (/ y z)) 1/2))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) y)) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 y)) z)) (+ (+ 1/2 (* 1/6 y)) (* 1/3 (/ 1 y)))))) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (/ (+ 1/2 (* 1/6 y)) 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 (/ 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) |
(/ (+ 1 (* y (- (log y) (log z)))) y) |
(/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) y) |
(+ x (+ (- (log y) (log z)) (/ 1 y))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (log.f64 y)) (log.f64 z)) |
(+ 1 (* y (- (log y) (log z)))) |
(fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) |
(+ 1 (+ (* x y) (* y (- (log y) (log z))))) |
(fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 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) |
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ (log y) x))) (/ (log z) x))) |
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) x)) x) |
(* x (+ y (+ (/ 1 x) (/ (* y (- (log y) (log z))) x)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) x) y (+.f64 (/.f64 #s(literal 1 binary64) x) y)) 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 (* x (- (* -1 (/ (- (+ (log y) (/ 1 y)) (log z)) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y)) (log.f64 z)) x))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* y (- (log y) (log z)))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) (neg.f64 x)) y)) |
(/ 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 (-.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 (/.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) |
(/ (+ 1 (* y (- (+ x (log y)) (log 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 z)))) |
(fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) |
(* 1/2 (/ (pow z 2) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z) |
(/ (+ (* 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) |
(* 1/2 (/ z y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) z) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z (neg.f64 y)) y) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(+ (* 1/2 z) (* y (- (* 1/2 z) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z (neg.f64 y)) |
(* -1/3 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) y) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y (*.f64 #s(literal -1/3 binary64) z)) y) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) y) |
(/.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)) y) |
(* -1/3 (/ z (pow y 2))) |
(*.f64 (/.f64 (/.f64 z y) y) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y (*.f64 #s(literal -1/3 binary64) z)) y) y) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2)) |
(/.f64 (/.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)) y) y) |
(* -1/3 (/ (pow z 2) (pow y 2))) |
(*.f64 (*.f64 z (/.f64 (/.f64 z y) y)) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) 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 (/.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 (*.f64 #s(literal -1/3 binary64) z) z)) y) y) |
(+ 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 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 z z) y)) x) (/.f64 (exp.f64 (neg.f64 z)) y)) |
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(fma.f64 (neg.f64 y) (/.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) z) (+.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) x)) |
(+ 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 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) x) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y (/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 z y)))) z)) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) x) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) y) (*.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)))) (*.f64 z y)) (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)))) z)) z)) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(/.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) (*.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (/.f64 y 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)))) (* 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 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y (/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 z 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 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) y) (*.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)))) (*.f64 z y)) (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)))) z)) z)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(fma.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (*.f64 y y)) (neg.f64 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 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) y (/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 z))) (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 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) y (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y))) (/.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))) (neg.f64 z))) (neg.f64 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))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y (/.f64 (*.f64 (neg.f64 y) y) 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 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 z))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(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 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) z) y) #s(literal -1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 z))) (neg.f64 z))) |
(/ (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) y) |
(/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) y #s(literal 1 binary64)) y) |
(+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) |
(fma.f64 (-.f64 (+.f64 (log.f64 y) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) y #s(literal 1 binary64)) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z)) (*.f64 z z)) |
(* -1 (/ (* z (- (* -1/2 y) 1/2)) y)) |
(*.f64 (neg.f64 z) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) y)) |
(* -1 (* z (- (+ -1/2 (/ 1 z)) (* 1/2 (/ 1 y))))) |
(neg.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) z #s(literal 1 binary64))) |
(* -1 (* z (- (* -1/2 y) 1/2))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (neg.f64 z)) |
(* -1 (* z (- (+ (* -1/2 y) (/ y z)) 1/2))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 y z)) #s(literal 1/2 binary64)) (neg.f64 z)) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) y)) |
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 y)) z)) (+ (+ 1/2 (* 1/6 y)) (* 1/3 (/ 1 y)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) |
(neg.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) z #s(literal 1 binary64))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))) |
(/.f64 (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)) y) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (/ (+ 1/2 (* 1/6 y)) y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)) (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 #s(literal -1/6 binary64) (+.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 #s(literal 1 binary64) z)) (/.f64 #s(literal 1/2 binary64) y)) z)) z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 644 |
| 0 | 107 | 644 |
| 1 | 500 | 620 |
| 2 | 4519 | 617 |
| 0 | 8727 | 601 |
| 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)) (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y)) |
(/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y) |
#s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) |
(*.f64 y x) |
(+.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 #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) |
#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))) |
(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)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) |
(+.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 #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 (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)) 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 (/.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)) y) y)) 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)) (/.f64 (/.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)) y) y)) 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)) (/.f64 (/.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)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(neg.f64 z) |
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) |
#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))) |
(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)) |
(/.f64 (/.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)) y) y) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #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))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) (neg.f64 z))) (pow.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) (neg.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) (neg.f64 z))) (pow.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) (neg.f64 z))) (pow.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z #s(literal -1 binary64)) |
(fma.f64 z #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) y) y)) z)) |
Compiled 28 717 to 2 746 computations (90.4% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 507 | 2 | 509 |
| Fresh | 0 | 5 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 509 | 13 | 522 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.2% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| ▶ | 70.2% | (+.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)) |
| ▶ | 53.8% | (+.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 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| ✓ | 69.9% | (+.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)) |
| ▶ | 71.8% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y)) |
| ▶ | 70.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| ▶ | 69.0% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) |
| ✓ | 86.5% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
| ✓ | 21.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y)) |
| 33.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (+.f64 x (log.f64 (/.f64 y z))) y #s(literal 1 binary64)) y)) | |
| ✓ | 44.1% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y)) |
| 33.3% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (+.f64 x (log.f64 (/.f64 y z))) y #s(literal 1 binary64))))) | |
| ✓ | 36.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 696 to 475 computations (31.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| cost-diff | 1 | (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) | |
| cost-diff | 1 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) | |
| cost-diff | 1 | (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) 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 | (-.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 | (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 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 (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 1224 |
| 0 | 121 | 1224 |
| 1 | 192 | 1182 |
| 2 | 344 | 1182 |
| 3 | 971 | 1182 |
| 4 | 2385 | 1182 |
| 5 | 3704 | 1170 |
| 6 | 6108 | 1161 |
| 0 | 8094 | 1091 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64)) |
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) |
(/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y) |
#s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
y |
#s(literal 1 binary64) |
(+.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 #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))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y)) |
(/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y) |
(+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) |
y |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))) |
z |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(*.f64 #s(literal 1/2 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) |
(/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y) |
#s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal -1/2 binary64) |
#s(literal -1/3 binary64) |
z |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64)) |
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) |
(/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y) |
#s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
y |
#s(literal 1 binary64) |
(+.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 #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))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z y) y))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z y) y))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z y) y))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y)) |
#s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z y) y)) |
(/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z y) y) |
(+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) |
(fma.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z y) |
y |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z) |
z |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(*.f64 #s(literal 1/2 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) y) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))))) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) y) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))))) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
#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 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) y) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))))) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) y) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))))) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) y) (fma.f64 #s(literal -1/6 binary64) y #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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) y) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))))) y)) |
(/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y) |
(/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) y) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))))) y) |
#s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) |
#s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) y) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y) |
(*.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) y) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal -1/2 binary64) |
#s(literal -1/3 binary64) |
z |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.876287273799888 | (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y) | |
| accuracy | 10.96173817860288 | (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y) | |
| accuracy | 24.88727249499543 | #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 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| accuracy | 32.93072167473605 | #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) | |
| accuracy | 0.015625 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) | |
| accuracy | 0.01953125 | (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))) | |
| accuracy | 4.982768240137496 | (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y) | |
| accuracy | 25.320520608322063 | #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) | |
| accuracy | 0.5174350419441458 | (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 | 1.234554555433674 | (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 | 24.88727249499543 | #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 | 27.16497415402766 | #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 | 0.0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) | |
| accuracy | 0.015625 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) | |
| accuracy | 24.691197849600467 | #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.0390625 | (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64)) | |
| accuracy | 6.840715072607993 | (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y) | |
| accuracy | 16.158263805393094 | #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) | |
| accuracy | 25.320520608322063 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) |
| 295.0ms | 120× | 1 | valid |
| 58.0ms | 136× | 0 | valid |
Compiled 566 to 63 computations (88.9% saved)
ival-div: 105.0ms (44.5% of total)ival-add: 36.0ms (15.3% of total)ival-mult: 35.0ms (14.8% of total)ival-log: 22.0ms (9.3% of total)const: 16.0ms (6.8% of total)adjust: 15.0ms (6.4% of total)ival-exp: 4.0ms (1.7% 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 (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64)) |
(+.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) |
(+.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)) |
(+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) |
(/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) 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 (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) |
(/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))) |
#s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) |
(/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) 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 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))))))) |
(* 1/2 (/ (pow z 2) y)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y) |
(* -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)) |
(* 1/2 (pow z 2)) |
(+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 1/2 z) |
(+ (* 1/2 z) (* y (- (* 1/2 z) 1))) |
(* -1/3 (/ z y)) |
(/ (+ (* -1/2 (* y z)) (* -1/3 z)) y) |
(/ (+ (* -1/3 z) (* y (+ (* -1/2 z) (* -1/6 (* y z))))) y) |
(* 1/2 (/ z y)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(* -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)) |
(+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) y) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 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 (- (* 1/2 z) 1))) |
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) |
(+ 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 (+ 1 (* z (- (* 1/2 z) 1)))) |
(* y (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))) |
(* y (- (* 1/2 z) 1)) |
(* y (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)) |
(* -1/6 (* y z)) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 z))) |
(* y (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (* -1/6 z)))) |
(- (* 1/2 z) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(+ 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) |
(* y (* z (- (* 1/2 z) 1))) |
(* y (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) |
(* y (+ 1/2 (* -1/6 z))) |
(* y (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))) |
(* y (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 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)) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) |
(* -1 (* y (- (* -1 (* z (- (* 1/2 z) 1))) 1))) |
(* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1))) |
(* -1 (* y (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))))) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ z y))))) |
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 z) (* -1/3 (/ z y))) y)) (* 1/6 z)))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z))) |
(- (+ (* -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) |
(* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) |
(+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y))) |
(* -1 (* y (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (* -1/2 z)) y))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (+ (* -1/2 z) (* -1/3 (/ z y)))) y))))) |
(+ 1/2 (+ (* -1 (/ (+ (* -1 (+ 1/2 (* -1/2 z))) (* 1/3 (/ z y))) y)) (* -1/6 z))) |
(+ 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)) |
(+ 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))) |
y |
(+ y (* -1 (* y z))) |
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))) |
(* -1 y) |
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))) |
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) y) |
-1 |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(+ 1/2 (* 1/2 (/ 1 y))) |
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(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))) |
(+ 1/2 (* 1/2 y)) |
(+ 1/2 (+ (* 1/2 y) (* z (- (* -1/6 y) (+ 1/2 (* 1/3 (/ 1 y))))))) |
(/ (+ 1/2 (* 1/2 y)) y) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(/ (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))))) |
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(exp (* y (+ (log y) (log (/ 1 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(+ (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))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* (pow z 2) (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z))) |
(* -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 (* 1/2 y))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y)))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (+ (* 1/2 y) (/ y (pow z 2)))))) |
(* z (+ 1/2 (* 1/2 y))) |
(* z (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y)))) |
(/ (* z (+ 1/2 (* 1/2 y))) y) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* -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 (* 1/2 y))) y) |
(* z (- (+ (* 1/2 (/ y z)) (+ (- (* -1/6 y) 1/2) (* 1/2 (/ 1 z)))) (* 1/3 (/ 1 y)))) |
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) (pow y 2)) |
(* z (- (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ (- (* -1/6 y) 1/2) y))) (* 1/3 (/ 1 (pow y 2))))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
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(+ 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))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y))))) |
(* -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 (* (pow z 2) (- (* -1/2 y) 1/2))) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ y z)))) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ (+ y (* -1 (/ y z))) z)))) |
(* -1 (* z (- (* -1/2 y) 1/2))) |
(* -1 (* z (- (+ (* -1/2 y) (/ y z)) 1/2))) |
(* -1 (/ (* z (- (* -1/2 y) 1/2)) y)) |
(* -1 (* z (- (+ -1/2 (/ 1 z)) (* 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)))) |
(* -1 (/ (* (pow z 2) (- (* -1/2 y) 1/2)) y)) |
(* (pow z 2) (- (* -1 (/ (- (* -1/2 y) 1/2) y)) (/ 1 z))) |
(* (pow z 2) (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* -1 (/ (- (* -1/2 y) 1/2) y)))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) y)) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 y)) z)) (+ (+ 1/2 (* 1/6 y)) (* 1/3 (/ 1 y)))))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (/ (+ 1/2 (* 1/6 y)) y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | z | @ | inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ 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) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) 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) (exp (* y (log (/ y (+ z y))))) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) y) (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y)) |
| 5.0ms | z | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ 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) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) 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) (exp (* y (log (/ y (+ z y))))) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) y) (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y)) |
| 5.0ms | y | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ 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) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) 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) (exp (* y (log (/ y (+ z y))))) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) y) (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y)) |
| 4.0ms | y | @ | inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ 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) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) 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) (exp (* y (log (/ y (+ z y))))) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) y) (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y)) |
| 4.0ms | z | @ | 0 | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ 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) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) 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) (exp (* y (log (/ y (+ z y))))) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) y) (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 697 | 4644 |
| 1 | 2244 | 4166 |
| 2 | 7886 | 4136 |
| 0 | 8048 | 3859 |
| 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 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))))))) |
(* 1/2 (/ (pow z 2) y)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y) |
(* -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)) |
(* 1/2 (pow z 2)) |
(+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 1/2 z) |
(+ (* 1/2 z) (* y (- (* 1/2 z) 1))) |
(* -1/3 (/ z y)) |
(/ (+ (* -1/2 (* y z)) (* -1/3 z)) y) |
(/ (+ (* -1/3 z) (* y (+ (* -1/2 z) (* -1/6 (* y z))))) y) |
(* 1/2 (/ z y)) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) |
(* -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)) |
(+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) y) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 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 (- (* 1/2 z) 1))) |
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) |
(+ 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 (+ 1 (* z (- (* 1/2 z) 1)))) |
(* y (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))) |
(* y (- (* 1/2 z) 1)) |
(* y (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)) |
(* -1/6 (* y z)) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 z))) |
(* y (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (* -1/6 z)))) |
(- (* 1/2 z) 1) |
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) |
(+ 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) |
(* y (* z (- (* 1/2 z) 1))) |
(* y (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) |
(* y (+ 1/2 (* -1/6 z))) |
(* y (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))) |
(* y (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 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)) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) |
(* -1 (* y (- (* -1 (* z (- (* 1/2 z) 1))) 1))) |
(* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1))) |
(* -1 (* y (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))))) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ z y))))) |
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 z) (* -1/3 (/ z y))) y)) (* 1/6 z)))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z))) |
(- (+ (* -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) |
(* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) |
(+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y))) |
(* -1 (* y (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (* -1/2 z)) y))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (+ (* -1/2 z) (* -1/3 (/ z y)))) y))))) |
(+ 1/2 (+ (* -1 (/ (+ (* -1 (+ 1/2 (* -1/2 z))) (* 1/3 (/ z y))) y)) (* -1/6 z))) |
(+ 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)) |
(+ 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))) |
y |
(+ y (* -1 (* y z))) |
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))) |
(* -1 y) |
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))) |
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) y) |
-1 |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))) |
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))) |
(+ 1/2 (* 1/2 y)) |
(+ 1/2 (+ (* 1/2 y) (* z (- (* -1/6 y) (+ 1/2 (* 1/3 (/ 1 y))))))) |
(/ (+ 1/2 (* 1/2 y)) y) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(/ (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))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* (pow z 2) (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z))) |
(* -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 (* 1/2 y))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y)))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (+ (* 1/2 y) (/ y (pow z 2)))))) |
(* z (+ 1/2 (* 1/2 y))) |
(* z (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y)))) |
(/ (* z (+ 1/2 (* 1/2 y))) y) |
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z))) |
(* -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 (* 1/2 y))) y) |
(* z (- (+ (* 1/2 (/ y z)) (+ (- (* -1/6 y) 1/2) (* 1/2 (/ 1 z)))) (* 1/3 (/ 1 y)))) |
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) (pow y 2)) |
(* z (- (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ (- (* -1/6 y) 1/2) y))) (* 1/3 (/ 1 (pow y 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))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y))))) |
(* -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 (* (pow z 2) (- (* -1/2 y) 1/2))) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ y z)))) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ (+ y (* -1 (/ y z))) z)))) |
(* -1 (* z (- (* -1/2 y) 1/2))) |
(* -1 (* z (- (+ (* -1/2 y) (/ y z)) 1/2))) |
(* -1 (/ (* z (- (* -1/2 y) 1/2)) y)) |
(* -1 (* z (- (+ -1/2 (/ 1 z)) (* 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)))) |
(* -1 (/ (* (pow z 2) (- (* -1/2 y) 1/2)) y)) |
(* (pow z 2) (- (* -1 (/ (- (* -1/2 y) 1/2) y)) (/ 1 z))) |
(* (pow z 2) (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* -1 (/ (- (* -1/2 y) 1/2) y)))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) y)) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 y)) z)) (+ (+ 1/2 (* 1/6 y)) (* 1/3 (/ 1 y)))))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (/ (+ 1/2 (* 1/6 y)) y))))) |
| 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) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) #s(literal -1 binary64) #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 (-.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))))))) |
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(* -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 (+.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))) (pow.f64 z #s(literal 3 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 (* (pow z 2) (- (* -1/2 y) 1/2))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) z) z) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ y z)))) |
(*.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 y z)) #s(literal 1/2 binary64)) (neg.f64 z)) z) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ (+ y (* -1 (/ y z))) z)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) z) z) |
(* -1 (* z (- (* -1/2 y) 1/2))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) z) |
(* -1 (* z (- (+ (* -1/2 y) (/ y z)) 1/2))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 y z)) #s(literal 1/2 binary64)) (neg.f64 z)) |
(* -1 (/ (* z (- (* -1/2 y) 1/2)) y)) |
(*.f64 (neg.f64 z) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) y)) |
(* -1 (* z (- (+ -1/2 (/ 1 z)) (* 1/2 (/ 1 y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 z)) |
(* -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 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #s(literal -1/6 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) z)) z) z) |
(* -1 (/ (* (pow z 2) (- (* -1/2 y) 1/2)) y)) |
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) y) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (- (* -1/2 y) 1/2) y)) (/ 1 z))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* -1 (/ (- (* -1/2 y) 1/2) y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z)) z) z) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) y)) |
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 y)) z)) (+ (+ 1/2 (* 1/6 y)) (* 1/3 (/ 1 y)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z)) (neg.f64 z)) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))) |
(/.f64 (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)) y) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (/ (+ 1/2 (* 1/6 y)) y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 922 |
| 0 | 121 | 922 |
| 1 | 564 | 883 |
| 2 | 4981 | 883 |
| 0 | 8175 | 844 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64)) |
(+.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) |
(+.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)) |
(+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) 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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) |
(/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) 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 (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) |
(/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))) |
#s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) |
(/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64)))) #s(literal -2 binary64))) (pow.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64)))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64)))) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64)))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64)))) #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64)))) #s(literal -2 binary64)))) (neg.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y)))) |
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(/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y))) y)) |
(neg.f64 (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)))) #s(literal -1 binary64))) |
Compiled 39 001 to 3 417 computations (91.2% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 599 | 6 | 605 |
| Fresh | 0 | 2 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 602 | 16 | 618 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.2% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| ✓ | 70.2% | (+.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)) |
| ✓ | 53.8% | (+.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 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| 52.8% | (+.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 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) (/.f64 z y))) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| 71.3% | (+.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)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) #s(approx (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z))) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| ✓ | 69.9% | (+.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)) |
| 46.0% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) | |
| 73.4% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 z) y y)) y))) y)) | |
| 47.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) y))) y)) | |
| ✓ | 86.5% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
| 70.2% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 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)))))) | |
| ✓ | 21.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y)) |
| 33.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (+.f64 x (log.f64 (/.f64 y z))) y #s(literal 1 binary64)) y)) | |
| ✓ | 44.1% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) y)) |
| 33.3% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (+.f64 x (log.f64 (/.f64 y z))) y #s(literal 1 binary64))))) | |
| ✓ | 36.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 1 652 to 680 computations (58.8% saved)
| Inputs |
|---|
#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)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) 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)) |
(+.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))))) (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))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 z) y y)) y))) 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 (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) y))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 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)))))) |
(+.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 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) #s(approx (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z))) 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 (+ (* (+ (/ 1/2 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(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #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 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) (/.f64 z 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) 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 (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 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (+.f64 x (log.f64 (/.f64 y z))) y #s(literal 1 binary64)) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (+.f64 x (log.f64 (/.f64 y z))) y #s(literal 1 binary64))))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
(/.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))))) |
| 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)) |
5 calls:
| 43.0ms | x |
| 10.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 7.0ms | z |
| 7.0ms | y |
| 7.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 3 | x |
| 100.0% | 3 | y |
| 90.6% | 2 | z |
| 90.1% | 3 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 95.7% | 5 | (/.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)) (/.f64 #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(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) 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)) |
(+.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))))) (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))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 z) y y)) y))) 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 (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) y))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 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)))))) |
(+.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 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) #s(approx (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z))) 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 (+ (* (+ (/ 1/2 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(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #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 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) (/.f64 z 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.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)) 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 (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)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
3 calls:
| 6.0ms | z |
| 6.0ms | y |
| 5.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 2 | z |
| 86.5% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 89.5% | 2 | y |
Compiled 13 to 15 computations (-15.4% saved)
| Inputs |
|---|
#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)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) 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)) |
(+.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))))) (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))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 z) y y)) y))) 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 (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) y))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 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)))))) |
(+.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 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) #s(approx (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z))) 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 (+ (* (+ (/ 1/2 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)) |
| Outputs |
|---|
(+.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))))) #s(literal 1 binary64)) y)) |
2 calls:
| 4.0ms | y |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 1 | z |
| 89.0% | 2 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#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)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (+ (* (- (+ (log y) x) (log z)) y) 1) (*.f64 y x)) 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)) |
(+.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)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
4 calls:
| 5.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 2.0ms | y |
| 2.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 86.5% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 86.5% | 1 | x |
| 86.5% | 1 | y |
Compiled 26 to 25 computations (3.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#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:
| 1.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 1.0ms | z |
| 1.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.2% | 1 | y |
| 36.2% | 1 | z |
| 36.2% | 1 | x |
| 36.2% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 36.2% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
Compiled 27 to 28 computations (-3.7% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 6.560396390143012e-54 | 4.2033605152663236e-41 |
| 32.0ms | -2.1454396818431239e+49 | -1.0935446650093892e+45 |
| 21.0ms | 66× | 1 | valid |
| 7.0ms | 94× | 0 | valid |
| 1.0ms | 16× | 0 | invalid |
Compiled 326 to 276 computations (15.3% saved)
ival-log: 9.0ms (38% of total)ival-mult: 4.0ms (16.9% of total)ival-div: 3.0ms (12.7% of total)ival-exp: 3.0ms (12.7% of total)ival-add: 2.0ms (8.4% of total)adjust: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -2.1454396818431239e+49 | -1.0935446650093892e+45 |
Compiled 480 to 360 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | -2.1454396818431239e+49 | -1.0935446650093892e+45 |
Compiled 496 to 376 computations (24.2% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 198 |
| 1 | 97 | 183 |
| 2 | 157 | 183 |
| 3 | 480 | 183 |
| 4 | 1305 | 183 |
| 5 | 2540 | 183 |
| 6 | 4918 | 183 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal -1100000000000000017806812944106311454176575488 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 4113761393303015/205688069665150755269371147819668813122841983204197482918576128 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 -1100000000000000017806812944106311454176575488 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(if (<=.f64 y #s(literal -1100000000000000017806812944106311454176575488 binary64)) (+.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))))) #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)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -1100000000000000017806812944106311454176575488 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 4113761393303015/205688069665150755269371147819668813122841983204197482918576128 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 -1100000000000000017806812944106311454176575488 binary64)) (not (<=.f64 y #s(literal 4113761393303015/205688069665150755269371147819668813122841983204197482918576128 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 -1100000000000000017806812944106311454176575488 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) y))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(if (<=.f64 y #s(literal -1100000000000000017806812944106311454176575488 binary64)) (+.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))))) #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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 557 | 3653 |
| 1 | 1702 | 3257 |
| 2 | 5694 | 2978 |
| 0 | 8090 | 2815 |
| 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 |
Compiled 243 to 125 computations (48.6% saved)
Compiled 480 to 196 computations (59.2% saved)
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