
Time bar (total: 9.1s)
| 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)
| 933.0ms | 6 026× | 0 | valid |
| 907.0ms | 2 230× | 1 | valid |
| 102.0ms | 913× | 0 | invalid |
| 1.0ms | 13× | 1 | exit |
ival-log: 511.0ms (32.5% of total)ival-add: 480.0ms (30.6% of total)ival-exp: 214.0ms (13.6% of total)ival-div: 183.0ms (11.7% of total)ival-mult: 122.0ms (7.8% of total)adjust: 47.0ms (3% of total)ival-true: 8.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 153 | 31 | (-1.9002437768491987e+137 -3.1954232739951e+61 -1.0985328869552504e-272) | 0 | - | (log.f64 (/.f64 y (+.f64 z y))) |
| 36 | 0 | - | 5 | (5.573938839606169e-148 -3.288675269291971e+178 -5.279400057987081e-142) | (*.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 | 164 | 0 |
log.f64 | (log.f64 (/.f64 y (+.f64 z y))) | uflow-rescue | 16 | 0 |
| ↳ | (log.f64 (/.f64 y (+.f64 z y))) | underflow | 31 | |
| ↳ | (/.f64 y (+.f64 z y)) | underflow | 20 | |
*.f64 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | n*u | 4 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 48 | 1 |
| - | 132 | 75 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 48 | 0 | 1 |
| - | 132 | 0 | 75 |
| number | freq |
|---|---|
| 0 | 76 |
| 1 | 176 |
| 2 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 171.0ms | 278× | 1 | valid |
| 22.0ms | 42× | 2 | valid |
| 20.0ms | 192× | 0 | valid |
Compiled 133 to 34 computations (74.4% saved)
ival-log: 53.0ms (53.2% of total)ival-div: 13.0ms (13.1% of total)ival-add: 10.0ms (10% of total)ival-exp: 9.0ms (9% of total)adjust: 7.0ms (7% of total)ival-mult: 6.0ms (6% of total)ival-true: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 132 |
| 1 | 109 | 112 |
| 2 | 234 | 110 |
| 3 | 642 | 110 |
| 4 | 2078 | 110 |
| 0 | 10 | 13 |
| 0 | 17 | 13 |
| 1 | 25 | 11 |
| 2 | 42 | 11 |
| 3 | 89 | 11 |
| 4 | 275 | 11 |
| 5 | 2106 | 11 |
| 6 | 5444 | 11 |
| 0 | 9283 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 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 |
|---|---|---|
| ▶ | 81.7% | (+.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 | 25 | 52 |
| 2 | 42 | 52 |
| 3 | 89 | 52 |
| 4 | 275 | 52 |
| 5 | 2106 | 52 |
| 6 | 5444 | 52 |
| 0 | 9283 | 52 |
| 1× | iter limit |
| 1× | node limit |
| 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 | 0.00390625 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 z y)) | |
| accuracy | 7.903583148514553 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | |
| accuracy | 34.9677040526565 | (log.f64 (/.f64 y (+.f64 z y))) |
| 40.0ms | 139× | 1 | valid |
| 10.0ms | 21× | 2 | valid |
| 10.0ms | 96× | 0 | valid |
Compiled 60 to 12 computations (80% saved)
ival-log: 23.0ms (48.7% of total)ival-div: 7.0ms (14.8% of total)ival-exp: 6.0ms (12.7% of total)ival-add: 5.0ms (10.6% of total)adjust: 4.0ms (8.5% of total)ival-mult: 3.0ms (6.4% 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)))) |
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(+ 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))) |
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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))) |
(+ 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)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | 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))) |
| 6.0ms | 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))) |
| 5.0ms | 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))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 603 | 3911 |
| 1 | 2104 | 3386 |
| 0 | 8490 | 3231 |
| 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)))))) |
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(+ (log y) (log (/ 1 z))) |
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(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))) |
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(/ 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)) |
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(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
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(/ (exp (* -1 z)) 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 (/ (+ (* -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 (/ (* 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) x) y) x x) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) (neg.f64 y)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) 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 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) 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 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y #s(literal 1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/.f64 (fma.f64 (+.f64 (+.f64 x (log.f64 y)) (neg.f64 (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 (+.f64 x (log.f64 y)) (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (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)) (* 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 (+.f64 x (log.f64 y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) 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 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) 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 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y #s(literal 1 binary64)) y) |
(* y (+ (log y) (log (/ 1 z)))) |
(*.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))) |
(*.f64 (-.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (/.f64 y z)) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 y (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) 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 (-.f64 (*.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 (neg.f64 (log.f64 z)) (log.f64 y))) y) |
(+ (log y) (log (/ 1 z))) |
(+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) |
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))) |
(-.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (/.f64 y z)) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))) |
(fma.f64 (-.f64 (*.f64 (/.f64 y (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))) |
(fma.f64 (-.f64 (*.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 (neg.f64 (log.f64 z)) (log.f64 y))) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z))) |
(*.f64 (fma.f64 (/.f64 y (*.f64 z z)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) y) |
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (-.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y (/.f64 #s(literal 1 binary64) z)) y) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 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 (*.f64 z z) y)) #s(literal 1/2 binary64) (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)))) |
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(+ (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 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 z))) (/.f64 (*.f64 z z) y) (fma.f64 (exp.f64 (neg.f64 z)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 z z)) (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 30 binary64))) #s(literal 1/24 binary64)))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 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))) |
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(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) y))) (neg.f64 z))) z) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)) |
(* 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)) y) z) #s(literal -1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 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 (log.f64 (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 y z) (log.f64 (neg.f64 y)))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) y) z) (log.f64 (neg.f64 y)))) |
(+ (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 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) (/.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) z) #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) z)) z)) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(/.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (*.f64 y y) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(/.f64 (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 y y)) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
(/.f64 (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z)) (*.f64 y y)) z)) (neg.f64 z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 0 | 17 | 52 |
| 1 | 60 | 46 |
| 2 | 380 | 46 |
| 3 | 4425 | 46 |
| 0 | 8230 | 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 (pow.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 z y) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (-.f64 y z) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 z y)) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 z y)) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (-.f64 z y) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 z y) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (-.f64 y z) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 z z))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 z y)) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 z y)) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (-.f64 z y) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 z y) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z))) y) (pow.f64 (-.f64 y z) y)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 z z))) y) (pow.f64 (neg.f64 (-.f64 z y)) y)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y) (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) y) (pow.f64 (neg.f64 (-.f64 z y)) y)) |
(*.f64 (pow.f64 (/.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) y) (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) y)) |
(*.f64 (pow.f64 (exp.f64 y) (log.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))))) (pow.f64 (exp.f64 y) (log.f64 (-.f64 z y)))) |
(*.f64 (pow.f64 (exp.f64 y) (log.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 (exp.f64 y) (log.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))) |
(*.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 z y) y) (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) y)) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) y) (pow.f64 (-.f64 z y) y)) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y) (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y)) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y)) |
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 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)))) |
(pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 y) (*.f64 (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 y) (+.f64 (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 z y)))) |
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) |
(pow.f64 (/.f64 y (+.f64 z y)) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 (+.f64 z y))) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (log.f64 (+.f64 z y)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (exp.f64 y) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 z y) y)))) (pow.f64 (exp.f64 y) (/.f64 (pow.f64 (log.f64 (+.f64 z y)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 z y) y))))) |
(/.f64 (pow.f64 (exp.f64 y) (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 z y)) (log.f64 (*.f64 (+.f64 z y) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (pow.f64 (exp.f64 y) (/.f64 (pow.f64 (log.f64 (+.f64 z y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 z y)) (log.f64 (*.f64 (+.f64 z y) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal -1 binary64)))) |
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(*.f64 (log.f64 (/.f64 y (+.f64 z y))) y) |
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))))))) |
(-.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (log.f64 y)))) (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))))) |
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))))))) (log.f64 #s(literal 4 binary64))) |
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))))))) (log.f64 #s(literal 4 binary64))) |
(-.f64 (log.f64 (pow.f64 (exp.f64 y) (log.f64 (neg.f64 y)))) (log.f64 (pow.f64 (exp.f64 y) (log.f64 (neg.f64 (+.f64 z y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (log.f64 (/.f64 y (+.f64 z y))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))))))) |
(-.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 (+.f64 z y)) y)) |
(+.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (fabs.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) y)) (log.f64 (pow.f64 (-.f64 z y) y))) |
(+.f64 (log.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y)) (log.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y))) |
(+.f64 (*.f64 (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) y) (*.f64 (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (log.f64 (/.f64 y (+.f64 z y)))) (*.f64 (/.f64 y #s(literal 2 binary64)) (log.f64 (/.f64 y (+.f64 z y))))) |
(log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) |
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 (+.f64 z y))) #s(literal 2 binary64))) (log.f64 (*.f64 (neg.f64 y) (neg.f64 (+.f64 z y))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (+.f64 z y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (+.f64 z y))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 (+.f64 z y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 z y) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 z y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (+.f64 z y)) (log.f64 (*.f64 (+.f64 z y) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 z y)) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 z y) y))) |
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 z y)) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 z y)) (log.f64 (*.f64 (+.f64 z y) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (*.f64 y (-.f64 z y))) (log.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)))) |
(-.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (fma.f64 z z (*.f64 y (+.f64 z y))))) |
(-.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (+.f64 z y))) |
(-.f64 (log.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64))))) (log.f64 (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y)))) |
(-.f64 (log.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (log.f64 (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(-.f64 (log.f64 (*.f64 y (fma.f64 (-.f64 y z) y (*.f64 z z)))) (log.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(-.f64 (log.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (fma.f64 z z (*.f64 y (+.f64 z y)))))) |
(-.f64 (log.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64))))) (log.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y))))) |
(-.f64 (log.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (log.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #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 (log.f64 (exp.f64 (log.f64 (neg.f64 y)))) (log.f64 (exp.f64 (log.f64 (neg.f64 (+.f64 z y)))))) |
(-.f64 (log.f64 (exp.f64 (log.f64 y))) (log.f64 (exp.f64 (log.f64 (+.f64 z y))))) |
(-.f64 (log.f64 (*.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (+.f64 z y)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 z y) y))) (/.f64 (pow.f64 (log.f64 (+.f64 z y)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 z y) y)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 z y)) (log.f64 (*.f64 (+.f64 z y) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (+.f64 z y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 z y)) (log.f64 (*.f64 (+.f64 z y) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 (+.f64 z y)))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 z y))) |
(+.f64 (log.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z)))) (log.f64 (-.f64 y z))) |
(+.f64 (log.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (neg.f64 (-.f64 z y)))) |
(+.f64 (log.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))) |
(+.f64 (log.f64 (/.f64 y (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)))) (log.f64 (neg.f64 (-.f64 z y)))) |
(+.f64 (log.f64 (/.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))) |
(+.f64 (log.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (-.f64 z y))) |
(+.f64 (log.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))) |
(+.f64 (log.f64 (-.f64 z y)) (log.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))))) |
(+.f64 (log.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) (log.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(log.f64 (/.f64 y (+.f64 z y))) |
(*.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z))) (-.f64 y z)) |
(*.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 (-.f64 z y))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))) |
(*.f64 (/.f64 y (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) (neg.f64 (-.f64 z y))) |
(*.f64 (/.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (-.f64 z y)) |
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y z) y (*.f64 z z))) |
(*.f64 (-.f64 z y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) |
(*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 y (-.f64 z y)) (fma.f64 (neg.f64 y) y (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 z y)))) |
(/.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 z #s(literal 3 binary64)) (pow.f64 y #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 z #s(literal 3 binary64)) (pow.f64 y #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 (fma.f64 (-.f64 y z) y (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 z #s(literal 3 binary64)) (pow.f64 y #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 z #s(literal 3 binary64)) (pow.f64 y #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 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (neg.f64 (+.f64 z y))))) |
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 y) (neg.f64 (+.f64 z y))) |
(/.f64 y (+.f64 z y)) |
(neg.f64 (/.f64 (neg.f64 y) (+.f64 z y))) |
(fma.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z))) |
(fma.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y))) |
(fma.f64 (*.f64 (-.f64 y z) y) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 z z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(exp.f64 (log.f64 (/.f64 y (+.f64 z y)))) |
(+.f64 (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 z z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 z z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y)) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z))) |
(+.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z)) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 y (+.f64 z y)))) (sinh.f64 (log.f64 (/.f64 y (+.f64 z y))))) |
Compiled 13 904 to 2 137 computations (84.6% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 9 | 386 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 378 | 9 | 387 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.5% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| 54.9% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) 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)) | |
| 57.0% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.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)) | |
| ▶ | 61.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| 81.9% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) | |
| ▶ | 51.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
| ▶ | 52.7% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
| 34.8% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) | |
| ▶ | 35.7% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 472 to 326 computations (30.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) | |
| cost-diff | 1 | (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) | |
| cost-diff | 2 | (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) | |
| cost-diff | 0 | (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #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 | (/.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 (* 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 | 47 | 557 |
| 0 | 77 | 557 |
| 1 | 117 | 523 |
| 2 | 202 | 523 |
| 3 | 380 | 523 |
| 4 | 951 | 523 |
| 5 | 4769 | 523 |
| 0 | 8370 | 517 |
| 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(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
y |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
z |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) |
(-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal -1/3 binary64) (*.f64 y y)) |
#s(literal -1/3 binary64) |
(*.f64 y y) |
y |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
(neg.f64 z) |
z |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) y) |
#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(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
y |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
z |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y)) y)) z) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y)) y)) z) |
(-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y)) y)) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal 1/2 binary64)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal -1/3 binary64) (*.f64 y y)) |
#s(literal -1/3 binary64) |
(*.f64 y y) |
y |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
(neg.f64 z) |
z |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) y) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.0062292178753474 | (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) | |
| accuracy | 2.0292230587665663 | (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) | |
| accuracy | 8.011652696566587 | (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) | |
| accuracy | 30.430913805976235 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0.6381931271970441 | (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) | |
| accuracy | 0.7662652295015069 | (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 2.0290828020848206 | (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) | |
| accuracy | 31.64728862918209 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0.0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) | |
| accuracy | 30.49933343056764 | #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 41.13535510898031 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.0 | (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) | |
| accuracy | 22.200118428579877 | #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
| 142.0ms | 138× | 1 | valid |
| 37.0ms | 96× | 0 | valid |
| 22.0ms | 22× | 2 | valid |
Compiled 427 to 40 computations (90.6% saved)
ival-log: 50.0ms (32.2% of total)const: 22.0ms (14.2% of total)ival-div: 20.0ms (12.9% of total)adjust: 17.0ms (10.9% of total)ival-mult: 17.0ms (10.9% of total)ival-add: 12.0ms (7.7% of total)ival-sub: 11.0ms (7.1% of total)ival-exp: 5.0ms (3.2% of total)ival-neg: 1.0ms (0.6% 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(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) |
(-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(neg.f64 z) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) |
| 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))))))) |
(* 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)))))) |
(* 1/2 (/ (pow z 2) (pow y 2))) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(* 1/2 (/ z (pow y 2))) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/ 1/3 (pow y 2)) |
(/ (+ 1/3 (* 1/2 y)) (pow y 2)) |
(/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 2)) |
(* -1/3 (/ z (pow y 3))) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 3)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 3)) |
(/ (+ (* 1/2 z) (* 1/2 (* y z))) (pow y 2)) |
(/ 1/2 (pow y 2)) |
(* -1/3 (/ z (pow y 2))) |
(/ (+ (* -1/2 (* y z)) (* -1/3 z)) (pow y 2)) |
(/ (+ (* -1/3 z) (* y (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z)))))) (pow y 2)) |
(* -1/3 (/ (pow z 2) (pow y 3))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 3)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 3)) |
(+ 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))))) |
(/ (+ 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) y) |
1/6 |
(+ 1/6 (* 1/2 (/ 1 y))) |
(+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 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)))))) y) |
(* 1/2 (/ z y)) |
(/ (+ (* 1/2 z) (* 1/2 (/ z y))) y) |
(+ 1/2 (* -1/6 z)) |
(+ 1/2 (+ (* -1/2 (/ z y)) (* -1/6 z))) |
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (* -1/6 z)))) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(/ (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) y) |
(/ (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 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 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 (* -1/2 z))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (+ 1 (* -1/2 z)) y)) |
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y)) |
(* -1 (/ (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (* -1/2 z)) y))) y)) |
(* -1 (/ (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (+ (* -1/2 z) (* -1/3 (/ z y)))) y))) y)) |
(* -1 (/ (+ (* -1/2 z) (* -1/2 (/ z y))) y)) |
(+ 1/2 (+ (* -1 (/ (+ (* 1/3 (/ z y)) (* 1/2 z)) y)) (* -1/6 z))) |
(* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/6 z)))) (* -1 (/ (* z (+ 1/2 (* -1/2 z))) y))) y)) |
(* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/6 z)))) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* z (+ 1/2 (* -1/2 z)))) y))) y)) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* 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))) |
(* 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 y) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) |
(+ (* -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))))) |
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
1/2 |
(+ 1/2 (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* 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)))))) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
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(/ (exp (* y (+ (log y) (log (/ 1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(exp (* y (+ (log y) (log (/ 1 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) |
(+ (* -1 (/ (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))))))) |
(* z (- (/ 1 z) 1)) |
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))) |
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) |
(* z (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(* -1 (* 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 (/ 1 z)))) |
(* -1 (/ (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) |
(* (pow z 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(* 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 (* z (- 1 (/ 1 z)))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))))) |
(* -1 (* z (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* z (- (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) (* 1/2 (/ 1 z))))) |
(* -1 (* (pow z 2) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* (pow z 2) (+ (* -1 (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | z | @ | 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)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (neg z) (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1/2 (* y y)) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z)) |
| 7.0ms | 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)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (neg z) (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1/2 (* y y)) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z)) |
| 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))))) (* 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 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (neg z) (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1/2 (* y y)) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z)) |
| 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))))) (* 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 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (neg z) (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1/2 (* y y)) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z)) |
| 3.0ms | y | @ | 0 | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (neg z) (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1/2 (* y y)) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 656 | 4269 |
| 1 | 2348 | 3814 |
| 0 | 8424 | 3621 |
| 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))))))) |
(* 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)))))) |
(* 1/2 (/ (pow z 2) (pow y 2))) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(* 1/2 (/ z (pow y 2))) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/ 1/3 (pow y 2)) |
(/ (+ 1/3 (* 1/2 y)) (pow y 2)) |
(/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 2)) |
(* -1/3 (/ z (pow y 3))) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 3)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 3)) |
(/ (+ (* 1/2 z) (* 1/2 (* y z))) (pow y 2)) |
(/ 1/2 (pow y 2)) |
(* -1/3 (/ z (pow y 2))) |
(/ (+ (* -1/2 (* y z)) (* -1/3 z)) (pow y 2)) |
(/ (+ (* -1/3 z) (* y (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z)))))) (pow y 2)) |
(* -1/3 (/ (pow z 2) (pow y 3))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 3)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 3)) |
(+ 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))))) |
(/ (+ 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) y) |
1/6 |
(+ 1/6 (* 1/2 (/ 1 y))) |
(+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 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)))))) y) |
(* 1/2 (/ z y)) |
(/ (+ (* 1/2 z) (* 1/2 (/ z y))) y) |
(+ 1/2 (* -1/6 z)) |
(+ 1/2 (+ (* -1/2 (/ z y)) (* -1/6 z))) |
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (* -1/6 z)))) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(/ (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) y) |
(/ (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 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 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 (* -1/2 z))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (+ 1 (* -1/2 z)) y)) |
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y)) |
(* -1 (/ (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (* -1/2 z)) y))) y)) |
(* -1 (/ (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (+ (* -1/2 z) (* -1/3 (/ z y)))) y))) y)) |
(* -1 (/ (+ (* -1/2 z) (* -1/2 (/ z y))) y)) |
(+ 1/2 (+ (* -1 (/ (+ (* 1/3 (/ z y)) (* 1/2 z)) y)) (* -1/6 z))) |
(* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/6 z)))) (* -1 (/ (* z (+ 1/2 (* -1/2 z))) y))) y)) |
(* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/6 z)))) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* z (+ 1/2 (* -1/2 z)))) y))) y)) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* 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))) |
(* 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 y) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) |
(+ (* -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))))) |
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
1/2 |
(+ 1/2 (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* 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)))))) |
(+ 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))))) |
(+ (* -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))))))) |
(* z (- (/ 1 z) 1)) |
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))) |
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) |
(* z (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(* -1 (* 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 (/ 1 z)))) |
(* -1 (/ (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) |
(* (pow z 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(* 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 (* z (- 1 (/ 1 z)))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))))) |
(* -1 (* z (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* z (- (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) (* 1/2 (/ 1 z))))) |
(* -1 (* (pow z 2) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* (pow z 2) (+ (* -1 (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) 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) x) y) x x) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) (neg.f64 y)) #s(literal 1 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/.f64 (fma.f64 (+.f64 (+.f64 x (log.f64 y)) (neg.f64 (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 (+.f64 x (log.f64 y)) (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (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)) (* 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 (+.f64 x (log.f64 y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) 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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(* (pow z 2) (+ (* -1 (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(*.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z)) (*.f64 z z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 408 |
| 0 | 77 | 408 |
| 1 | 336 | 362 |
| 2 | 2726 | 362 |
| 0 | 8171 | 362 |
| 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(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) |
(-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(neg.f64 z) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))) (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))) (/.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)))) |
(+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (neg.f64 y)) |
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) y)) |
(neg.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y))) |
(+.f64 (/.f64 (cosh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (/.f64 (sinh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (sinh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (sinh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) |
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) |
(+.f64 (sinh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (cosh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) |
(+.f64 (cosh.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (sinh.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)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) y) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(sqrt.f64 (pow.f64 y #s(literal -2 binary64))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) y)) |
(fabs.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(fabs.f64 (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (log.f64 y))) |
(+.f64 (cosh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) 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))))) (-.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) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) 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))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) 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))))) (-.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) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64))) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.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) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))) (/.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.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) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 3 binary64)) (fma.f64 (/.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) (*.f64 x x)))) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (neg.f64 y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) y)) |
(neg.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) (neg.f64 y))) |
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(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) z) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z)) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z)) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) z) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) z) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y))) z #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y))) (neg.f64 z))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 z)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) z)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) z) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) z) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) z) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) y) z) |
(*.f64 z (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) z)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64))) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) z)) (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) z)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64))) y))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) z) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64))) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) z) (+.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) z) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64))) y)) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) (neg.f64 z) #s(literal 1/2 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3 binary64))) |
Compiled 25 282 to 2 836 computations (88.8% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 478 | 11 | 489 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 481 | 17 | 498 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 83.5% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| 54.9% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) 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)) | |
| ✓ | 61.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| ▶ | 81.9% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
| 29.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (*.f64 #s(literal -1/2 binary64) z)) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) | |
| ▶ | 60.2% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
| 55.2% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/.f64 (*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))) y)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) | |
| 47.7% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.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))) (*.f64 y y))))) | |
| 61.3% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) | |
| 61.3% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) | |
| ▶ | 40.1% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))))) |
| ▶ | 29.8% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))))) |
| 39.5% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z))))) | |
| 12.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) | |
| 34.8% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) | |
| ✓ | 35.7% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 17.8% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
Compiled 1 268 to 830 computations (34.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) | |
| cost-diff | 2 | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) | |
| cost-diff | 2 | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 2 | (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) | |
| cost-diff | 1 | (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fabs.f64 (/.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 | 69 | 776 |
| 0 | 98 | 776 |
| 1 | 168 | 724 |
| 2 | 352 | 712 |
| 3 | 901 | 712 |
| 4 | 2945 | 704 |
| 0 | 8433 | 677 |
| 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)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) |
#s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y) |
(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 |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) z) |
(/.f64 #s(literal 1 binary64) y) |
| 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)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal 1/2 binary64)))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)) |
(*.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (fma.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) |
#s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y) |
(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 |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z) (/.f64 #s(literal 1 binary64) y)))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)) |
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) y) (-.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) z) |
(/.f64 #s(literal 1 binary64) y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.4531229358302062 | (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) | |
| accuracy | 7.757089799407872 | (*.f64 (*.f64 z z) y) | |
| accuracy | 20.632434952127184 | (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)) | |
| accuracy | 31.470796056555162 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))) | |
| accuracy | 0.5523331130493091 | (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 2.0062292178753474 | (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) | |
| accuracy | 19.318465823082725 | #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) | |
| accuracy | 30.268710797914512 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 4.108686312277969 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)) | |
| accuracy | 4.924970906301815 | (/.f64 (*.f64 z z) y) | |
| accuracy | 31.470796056555162 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)))) | |
| accuracy | 45.62749071357104 | #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0 | (fabs.f64 (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 52.37167007774197 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0.0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) | |
| accuracy | 18.265441219540037 | #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) |
| 147.0ms | 125× | 1 | valid |
| 55.0ms | 130× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 454 to 57 computations (87.4% saved)
const: 41.0ms (23.8% of total)ival-div: 34.0ms (19.8% of total)ival-mult: 25.0ms (14.5% of total)ival-log: 23.0ms (13.4% of total)ival-add: 18.0ms (10.5% of total)adjust: 12.0ms (7% of total)ival-sub: 11.0ms (6.4% of total)ival-exp: 4.0ms (2.3% of total)ival-fabs: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% 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)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(/.f64 (*.f64 z z) y) |
#s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) |
(*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))) |
(*.f64 (*.f64 z 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 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))))))) |
(fabs (/ -1 y)) |
(/ -1 y) |
(* 1/2 (/ (pow z 2) (pow y 2))) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(* -1/3 (/ (pow z 2) (pow y 3))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 3)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 3)) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3)) |
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3)) |
(/ (+ (* 1/2 (pow z 2)) (* y (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))))) (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ (+ 1/2 (* y (+ 1/2 (/ 1 (pow z 2))))) (pow y 2)) |
(/ (+ 1/2 (/ y (pow z 2))) (pow y 2)) |
(/ (+ 1/2 (* y (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) (pow y 2)) |
(/ (pow z 2) y) |
(* -1/3 (/ z (pow y 3))) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 3)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 3)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 3)) |
(* y (pow z 2)) |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
(/ (exp (* -1 z)) y) |
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y) |
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y) |
(/ (- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1) y) |
(/ (- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1) y) |
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y) |
(/ (+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) 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) |
(/ (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))) y) |
(/ (+ (* 1/2 (/ (pow z 2) y)) (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) y) |
(/ (+ 1/2 (/ 1 (pow z 2))) y) |
(/ (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) y) |
(/ 1 (* y (pow z 2))) |
(/ (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2))) y) |
(/ (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)) y) |
(/ (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z)) 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)))))) y) |
(/ (* z (+ 1/2 (* -1/6 z))) y) |
(/ (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) y) |
(/ (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 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 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (+ 1 (* -1 (* z (+ 1/2 (* -1/6 z))))) y)) |
(* -1 (/ (+ 1 (+ (* -1 (* z (+ 1/2 (* -1/6 z)))) (* -1 (/ (* z (+ 1/2 (* -1/2 z))) y)))) y)) |
(* -1 (/ (+ 1 (+ (* -1 (* z (+ 1/2 (* -1/6 z)))) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* z (+ 1/2 (* -1/2 z)))) y)))) y)) |
(* -1 (/ (- (* z (+ 1 (* -1 (* z (+ 1/2 (* -1/6 z)))))) 1) y)) |
(* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)) (* z (+ 1 (* -1 (* z (+ 1/2 (* -1/6 z))))))) 1) y)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow z 3) y)) (* (pow z 2) (+ 1/2 (* -1/2 z)))) y)) (* z (+ 1 (* -1 (* z (+ 1/2 (* -1/6 z))))))) 1) y)) |
(* -1 (/ (* (pow z 2) (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2))))) y)) |
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* (pow z 2) (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2)))))) y)) |
(* -1 (/ (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2)))) y)) |
(* -1 (/ (- (/ 1 z) (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2))))) y)) |
(* -1 (/ (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (* -1/2 z)) y))) y)) |
(* -1 (/ (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (+ (* -1/2 z) (* -1/3 (/ z y)))) y))) y)) |
(* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/6 z)))) (* -1 (/ (* z (+ 1/2 (* -1/2 z))) y))) y)) |
(* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/6 z)))) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* z (+ 1/2 (* -1/2 z)))) y))) y)) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* 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))) |
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(- (* 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)) |
(/ (+ (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) (pow z 2)) |
(/ (+ (* 1/2 (/ (pow z 2) (pow y 2))) (/ 1 y)) (pow z 2)) |
(/ (+ (* -1 (/ z y)) (/ 1 y)) (pow z 2)) |
(/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) (pow z 2)) |
(+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) |
(+ (* -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))))) |
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* 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)))))) |
(+ 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 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))) |
(* -1 (/ (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) |
(* (pow z 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(* (pow z 2) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2))))) |
(* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) |
(* (pow z 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2))))) |
(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (/ 1 (* y (pow z 3)))))) (/ 1 (* y (pow z 2))))) |
(+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) |
(+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) |
(- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) |
(- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z))) |
(* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) |
(* z (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) |
(* -1 (* (pow z 2) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(* (pow z 2) (+ (* -1 (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(* (pow z 2) (+ (* -1 (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))) (* -1 (/ (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))) z)))) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* -1 (* z (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* (pow z 2) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* (pow z 2) (+ (* -1 (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | 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)) (fabs (/ -1 y)) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (/ 1/2 y) (/ (* z z) y)) (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (* (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (* z z)) (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/ (* z z) y) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ (exp (* y (log (/ y (+ z y))))) y) (* (* z z) 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))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fabs (/ -1 y)) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (/ 1/2 y) (/ (* z z) y)) (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (* (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (* z z)) (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/ (* z z) y) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ (exp (* y (log (/ y (+ z y))))) y) (* (* z z) y)) |
| 4.0ms | z | @ | 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)) (fabs (/ -1 y)) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (/ 1/2 y) (/ (* z z) y)) (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (* (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (* z z)) (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/ (* z z) y) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ (exp (* y (log (/ y (+ z y))))) y) (* (* z z) y)) |
| 4.0ms | 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)) (fabs (/ -1 y)) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (/ 1/2 y) (/ (* z z) y)) (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (* (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (* z z)) (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/ (* z z) y) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ (exp (* y (log (/ y (+ z y))))) y) (* (* z z) 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))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fabs (/ -1 y)) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (/ 1/2 y) (/ (* z z) y)) (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (* (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (* z z)) (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/ (* z z) y) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ (exp (* y (log (/ y (+ z y))))) y) (* (* z z) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 647 | 4681 |
| 1 | 2350 | 4294 |
| 0 | 8456 | 4089 |
| 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 |
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(+ (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 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) |
(* -1 (* (pow z 2) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(* (pow z 2) (+ (* -1 (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(* (pow z 2) (+ (* -1 (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))) (* -1 (/ (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))) z)))) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* -1 (* z (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* (pow z 2) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(* (pow z 2) (+ (* -1 (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) 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) x) y) x x) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) (neg.f64 y)) #s(literal 1 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/.f64 (fma.f64 (+.f64 (+.f64 x (log.f64 y)) (neg.f64 (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 (+.f64 x (log.f64 y)) (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (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)) (* 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 (+.f64 x (log.f64 y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) 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 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) 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 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) 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 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) 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 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y #s(literal 1 binary64)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* 1/2 (/ (pow z 2) (pow y 2))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.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))) (*.f64 y y)) |
(* -1/3 (/ (pow z 2) (pow y 3))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 3)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 3)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.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 z z) #s(literal -1/3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3)) |
(/.f64 (fma.f64 (*.f64 (*.f64 z z) y) (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (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 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) (*.f64 z z))) y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(/ (+ (* 1/2 (pow z 2)) (* y (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))))) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 z z) y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)) |
(/ 1/2 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/ (+ 1/2 (* y (+ 1/2 (/ 1 (pow z 2))))) (pow y 2)) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)) (*.f64 y y)) |
(/ (+ 1/2 (/ y (pow z 2))) (pow y 2)) |
(/.f64 (+.f64 (/.f64 y (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 y y)) |
(/ (+ 1/2 (* y (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) (pow y 2)) |
(/.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y #s(literal 1/2 binary64)) (*.f64 y y)) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(* -1/3 (/ z (pow y 3))) |
(*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y (*.f64 #s(literal -1/3 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 3)) |
(/.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)) (pow.f64 y #s(literal 3 binary64))) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 3)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) 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 (/.f64 (exp.f64 (neg.f64 z)) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 z z) y)) x)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
(+.f64 (fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (exp.f64 (neg.f64 z)) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 z z) y)) x)) |
(/ (exp (* -1 z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y) |
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 z))) 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) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 y y)) (fma.f64 (*.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 z)))) 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) |
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 z)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z) (fma.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 30 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -24 binary64))) #s(literal 1/24 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) #s(literal 1/48 binary64)))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 y y))) (exp.f64 (neg.f64 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 (*.f64 z z) y)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 z))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 y y)) (fma.f64 (*.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64) (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 (*.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 z)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z) (fma.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 30 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -24 binary64))) #s(literal 1/24 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) #s(literal 1/48 binary64)))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 y y))) (exp.f64 (neg.f64 z)))) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) |
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) |
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) y) |
(/ (- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1) y) |
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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) y) |
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(/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(fma.f64 (neg.f64 y) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) z) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) y))) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)) z) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) 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)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 y y))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) y))) (neg.f64 z))) z) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(-.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 y y) (/.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 z))) z)) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(-.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 y y) (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (neg.f64 (/.f64 (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 3 binary64)) #s(literal 1/2 binary64)) (*.f64 y y))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 z))) z)) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (neg.f64 z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)) |
(* -1 (* (pow z 2) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)) (*.f64 (neg.f64 z) z)) |
(* (pow z 2) (+ (* -1 (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(*.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)) #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))) (* -1 (/ (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))) z)))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) z) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)))) (*.f64 z z)) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z) #s(literal -1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (neg.f64 z)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (neg.f64 z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 z)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (neg.f64 z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) |
(* -1 (* z (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(*.f64 (neg.f64 z) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y))) |
(* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z) #s(literal -1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)))) |
(* -1 (* (pow z 2) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)) (*.f64 (neg.f64 z) z)) |
(* (pow z 2) (+ (* -1 (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(*.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)) #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z)) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 596 |
| 0 | 96 | 596 |
| 1 | 425 | 520 |
| 2 | 3874 | 518 |
| 0 | 8323 | 514 |
| 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)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(/.f64 (*.f64 z z) y) |
#s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) |
(*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))) |
(*.f64 (*.f64 z z) y) |
| Outputs |
|---|
(/.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 (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))) |
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#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 z #s(literal -2 binary64)) y)) (/.f64 (pow.f64 y #s(literal -1 binary64)) z)) (*.f64 z z)))) |
(*.f64 (*.f64 y (neg.f64 z)) (neg.f64 z)) |
(*.f64 (*.f64 z y) z) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z (*.f64 z y)) |
(*.f64 y (*.f64 z z)) |
Compiled 29 260 to 2 662 computations (90.9% saved)
16 alts after pruning (10 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 444 | 5 | 449 |
| Fresh | 4 | 5 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 450 | 16 | 466 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 83.5% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| ✓ | 61.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| ✓ | 81.9% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
| 29.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (*.f64 #s(literal -1/2 binary64) z)) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) | |
| ✓ | 60.2% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
| ▶ | 63.1% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
| ▶ | 61.3% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
| ▶ | 61.3% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) |
| 38.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (*.f64 y y))))) | |
| 43.7% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fabs.f64 (/.f64 (*.f64 z z) y)))))) | |
| ▶ | 30.7% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))))) |
| ▶ | 2.3% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
| 12.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) | |
| 34.8% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) | |
| ✓ | 35.7% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 17.8% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
Compiled 1 047 to 680 computations (35.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) | |
| cost-diff | 2 | (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))))) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y)))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) | |
| cost-diff | 1 | (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 908 |
| 0 | 115 | 904 |
| 1 | 196 | 867 |
| 2 | 391 | 857 |
| 3 | 801 | 847 |
| 4 | 1939 | 847 |
| 5 | 5824 | 847 |
| 0 | 8148 | 827 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) |
(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) |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
z |
#s(literal 1 binary64) |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
(neg.f64 y) |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))) |
(*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)) |
#s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
#s(literal 1 binary64) |
(*.f64 z z) |
z |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) z) |
y |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(literal 1 binary64) |
| Outputs |
|---|
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) |
(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) |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.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))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.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))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
z |
#s(literal 1 binary64) |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) z (-.f64 z #s(literal 1 binary64))) (neg.f64 y)))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) z (-.f64 z #s(literal 1 binary64))) (neg.f64 y)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) z (-.f64 z #s(literal 1 binary64))) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) z (-.f64 z #s(literal 1 binary64))) (neg.f64 y)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) z (-.f64 z #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
(neg.f64 y) |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))) |
(*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)) |
#s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
#s(literal 1 binary64) |
(*.f64 z z) |
z |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) z) |
y |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y)) |
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 62.27010652639208 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) | |
| accuracy | 6.136407387444747 | (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y) | |
| accuracy | 14.888915847553116 | #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) | |
| accuracy | 20.632434952127184 | (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)) | |
| accuracy | 31.470796056555162 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)))) | |
| accuracy | 0.00390625 | (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) | |
| accuracy | 3.1014210145690466 | (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y)) | |
| accuracy | 11.878436369779847 | #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))) | |
| accuracy | 31.470796056555162 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y)))) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) | |
| accuracy | 3.1014210145690466 | (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) | |
| accuracy | 11.878436369779847 | #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)) | |
| accuracy | 31.470796056555162 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))) | |
| accuracy | 0.17578125 | (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) | |
| accuracy | 3.8495013128832376 | (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) | |
| accuracy | 5.676484436362896 | #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)) | |
| accuracy | 30.268710797914512 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))) |
| 295.0ms | 125× | 1 | valid |
| 112.0ms | 130× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 446 to 75 computations (83.2% saved)
ival-div: 106.0ms (31.4% of total)ival-log: 63.0ms (18.7% of total)ival-sub: 44.0ms (13% of total)const: 41.0ms (12.1% of total)ival-mult: 32.0ms (9.5% of total)adjust: 19.0ms (5.6% of total)ival-add: 19.0ms (5.6% of total)ival-pow: 6.0ms (1.8% of total)ival-exp: 4.0ms (1.2% of total)ival-neg: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.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))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))) |
(*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)) |
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) y) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) |
#s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) 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 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) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3)) |
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3)) |
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y) |
(* 1/2 (/ (pow z 2) (pow y 2))) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)) |
(/ (+ (* 1/2 (pow z 2)) (* y (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))))) (pow y 2)) |
(/ -1 y) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/ 1/2 (pow y 2)) |
(/ (+ 1/2 (* y (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) (pow y 2)) |
(/ (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 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) |
(/ (+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) 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 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y) |
(/ (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))) y) |
(/ (+ (* 1/2 (/ (pow z 2) y)) (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) y) |
(/ (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z)) y) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(* -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 (* z (+ 1/2 (* -1/6 z)))))) 1) y)) |
(* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)) (* z (+ 1 (* -1 (* z (+ 1/2 (* -1/6 z))))))) 1) y)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow z 3) y)) (* (pow z 2) (+ 1/2 (* -1/2 z)))) y)) (* z (+ 1 (* -1 (* z (+ 1/2 (* -1/6 z))))))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (* (pow z 2) (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2))))) y)) |
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* (pow z 2) (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2)))))) y)) |
(* -1 (/ (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2)))) y)) |
(* -1 (/ (- (/ 1 z) (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2))))) y)) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(+ (* -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 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* 1/2 z) 1))) |
1/2 |
(+ 1/2 (* -1/6 z)) |
z |
(* z (+ 1 (* -1/2 z))) |
(/ 1 (* y (pow z 2))) |
(/ (+ (* -1 (/ z y)) (/ 1 y)) (pow z 2)) |
(/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) (pow z 2)) |
(/ (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)) (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 z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) |
(* (pow z 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2))))) |
(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (/ 1 (* y (pow z 3)))))) (/ 1 (* y (pow z 2))))) |
(* -1/6 (/ (pow z 3) y)) |
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))) |
(* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2)))))) |
(* (pow z 3) (- (+ (/ 1/2 (* y z)) (/ 1 (* y (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2)))))) |
(* 1/2 (pow z 2)) |
(* (pow z 2) (- 1/2 (/ 1 z))) |
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))) |
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))) |
(* 1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z)))) |
(* -1/6 z) |
(* z (- (* 1/2 (/ 1 z)) 1/6)) |
(* -1/2 (pow z 2)) |
(* (pow z 2) (- (/ 1 z) 1/2)) |
(+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) |
(- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) |
(- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (/ 1 (* y z))) |
(- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y 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)) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z)))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))) |
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z)))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y)))) |
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z))))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/ (+ (* (- (* (+ (* -1/6 z) 1/2) z) 1) z) 1) y) (+ (* (- (* 1/2 z) 1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/ (- (* (+ (* -1/2 z) 1) z) 1) (neg y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (* z z)) (pow (/ -1 y) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ -1 y) (+ (* -1/6 z) 1/2) (/ (+ (* (- (* 1/2 z) 1) z) 1) y) (* (+ (* -1/2 z) 1) z) (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/ (- (+ (/ 1 (* z z)) 1/2) (/ 1 z)) y)) |
| 6.0ms | y | @ | 0 | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/ (+ (* (- (* (+ (* -1/6 z) 1/2) z) 1) z) 1) y) (+ (* (- (* 1/2 z) 1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/ (- (* (+ (* -1/2 z) 1) z) 1) (neg y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (* z z)) (pow (/ -1 y) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ -1 y) (+ (* -1/6 z) 1/2) (/ (+ (* (- (* 1/2 z) 1) z) 1) y) (* (+ (* -1/2 z) 1) z) (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/ (- (+ (/ 1 (* z z)) 1/2) (/ 1 z)) y)) |
| 6.0ms | y | @ | inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/ (+ (* (- (* (+ (* -1/6 z) 1/2) z) 1) z) 1) y) (+ (* (- (* 1/2 z) 1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/ (- (* (+ (* -1/2 z) 1) z) 1) (neg y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (* z z)) (pow (/ -1 y) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ -1 y) (+ (* -1/6 z) 1/2) (/ (+ (* (- (* 1/2 z) 1) z) 1) y) (* (+ (* -1/2 z) 1) z) (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/ (- (+ (/ 1 (* z z)) 1/2) (/ 1 z)) y)) |
| 5.0ms | y | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/ (+ (* (- (* (+ (* -1/6 z) 1/2) z) 1) z) 1) y) (+ (* (- (* 1/2 z) 1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/ (- (* (+ (* -1/2 z) 1) z) 1) (neg y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (* z z)) (pow (/ -1 y) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ -1 y) (+ (* -1/6 z) 1/2) (/ (+ (* (- (* 1/2 z) 1) z) 1) y) (* (+ (* -1/2 z) 1) z) (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/ (- (+ (/ 1 (* z z)) 1/2) (/ 1 z)) y)) |
| 3.0ms | z | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/ (+ (* (- (* (+ (* -1/6 z) 1/2) z) 1) z) 1) y) (+ (* (- (* 1/2 z) 1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/ (- (* (+ (* -1/2 z) 1) z) 1) (neg y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (* z z)) (pow (/ -1 y) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ -1 y) (+ (* -1/6 z) 1/2) (/ (+ (* (- (* 1/2 z) 1) z) 1) y) (* (+ (* -1/2 z) 1) z) (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/ (- (+ (/ 1 (* z z)) 1/2) (/ 1 z)) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 520 | 3158 |
| 1 | 1790 | 2902 |
| 0 | 8283 | 2785 |
| 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) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3)) |
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3)) |
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y) |
(* 1/2 (/ (pow z 2) (pow y 2))) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)) |
(/ (+ (* 1/2 (pow z 2)) (* y (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))))) (pow y 2)) |
(/ -1 y) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/ 1/2 (pow y 2)) |
(/ (+ 1/2 (* y (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) (pow y 2)) |
(/ (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 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) |
(/ (+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) 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 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y) |
(/ (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))) y) |
(/ (+ (* 1/2 (/ (pow z 2) y)) (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) y) |
(/ (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z)) y) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(* -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 (* z (+ 1/2 (* -1/6 z)))))) 1) y)) |
(* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)) (* z (+ 1 (* -1 (* z (+ 1/2 (* -1/6 z))))))) 1) y)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow z 3) y)) (* (pow z 2) (+ 1/2 (* -1/2 z)))) y)) (* z (+ 1 (* -1 (* z (+ 1/2 (* -1/6 z))))))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (* (pow z 2) (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2))))) y)) |
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* (pow z 2) (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2)))))) y)) |
(* -1 (/ (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2)))) y)) |
(* -1 (/ (- (/ 1 z) (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2))))) y)) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(+ (* -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 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* 1/2 z) 1))) |
1/2 |
(+ 1/2 (* -1/6 z)) |
z |
(* z (+ 1 (* -1/2 z))) |
(/ 1 (* y (pow z 2))) |
(/ (+ (* -1 (/ z y)) (/ 1 y)) (pow z 2)) |
(/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) (pow z 2)) |
(/ (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)) (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 z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) |
(* (pow z 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z))))) |
(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2))))) |
(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (/ 1 (* y (pow z 3)))))) (/ 1 (* y (pow z 2))))) |
(* -1/6 (/ (pow z 3) y)) |
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))) |
(* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2)))))) |
(* (pow z 3) (- (+ (/ 1/2 (* y z)) (/ 1 (* y (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2)))))) |
(* 1/2 (pow z 2)) |
(* (pow z 2) (- 1/2 (/ 1 z))) |
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))) |
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))) |
(* 1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z)))) |
(* -1/6 z) |
(* z (- (* 1/2 (/ 1 z)) 1/6)) |
(* -1/2 (pow z 2)) |
(* (pow z 2) (- (/ 1 z) 1/2)) |
(+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) |
(- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) |
(- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z))) |
(/ 1/2 y) |
(- (* 1/2 (/ 1 y)) (/ 1 (* y z))) |
(- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y 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)) |
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))))) |
(* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z)))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))) |
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z)))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y)))) |
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z))))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 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) (-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) (neg.f64 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) (neg.f64 (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 (+.f64 (log.f64 y) x) (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (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)) (* 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 (+.f64 (log.f64 y) x) (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) 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 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) 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 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y #s(literal 1 binary64)) y) |
(* -1/3 (/ (pow z 3) (pow y 3))) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3)) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3)) |
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(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y) |
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(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (neg.f64 z)) (/.f64 #s(literal -1/6 binary64) y))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (neg.f64 z)) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z)) (/.f64 #s(literal -1/6 binary64) y))) |
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z)) z) z) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (neg.f64 z)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (neg.f64 z)) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z))))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z)) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (neg.f64 z)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (neg.f64 z)) (/.f64 #s(literal -1/2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 808 |
| 0 | 115 | 804 |
| 1 | 559 | 721 |
| 2 | 5190 | 721 |
| 0 | 8166 | 709 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.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))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)))) |
#s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))) |
(*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z)) |
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) y) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) |
#s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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(literal 2 binary64))) (-.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (+.f64 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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(literal 2 binary64)) (-.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 x x))) (/.f64 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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(literal 3 binary64)) (fma.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 x x)))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z)) y)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)) |
(neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) (neg.f64 y))) |
(fma.f64 (pow.f64 (fabs.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z) y)) |
(fma.f64 (pow.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z) y)) |
(fma.f64 (pow.f64 (fabs.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z) y)) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z) y)) |
(fma.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z) y)) |
(fma.f64 (fabs.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z) y)) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z) y)) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) (/.f64 z y) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 z (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) y) (pow.f64 y #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z) y) (pow.f64 y #s(literal -1 binary64))) |
(+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z)) |
(*.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 z (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) #s(literal 1 binary64)) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) z) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)))) |
(/.f64 (*.f64 z (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) z (*.f64 #s(literal 1 binary64) z)) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) z) z)) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) z) (*.f64 z #s(literal 1 binary64))) |
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -1/2 binary64) z))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) z) (*.f64 #s(literal 1 binary64) z)) |
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal -1/2 binary64) z) z)) |
(+.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 z #s(literal 1 binary64))) |
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal -1/2 binary64) z))) |
#s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal -2 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1 binary64)) z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal -2 binary64)) (*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1 binary64)) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1 binary64))))) y) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) y) (*.f64 y (pow.f64 z #s(literal -1 binary64)))) (*.f64 y y)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64))) y)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -2 binary64))) (pow.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)) |
(/.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 y)) |
(/.f64 (-.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) y) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1 binary64)))) y)) |
(neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) (neg.f64 y))) |
(fma.f64 (pow.f64 (*.f64 y (fabs.f64 z)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))) y)) |
(fma.f64 (pow.f64 (*.f64 y (neg.f64 z)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))) y)) |
(fma.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))) y)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 (fabs.f64 z) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))) y)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))) y)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) z) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))) y)) |
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))) y)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) z) (pow.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))) y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))) y)) |
(-.f64 (/.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1 binary64)) z)) |
(+.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))) y)) |
Compiled 23 824 to 1 925 computations (91.9% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 334 | 5 | 339 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 4 | 6 |
| Total | 339 | 16 | 355 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 83.5% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| ✓ | 61.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| ✓ | 81.9% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
| 29.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (*.f64 #s(literal -1/2 binary64) z)) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) | |
| ✓ | 63.1% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
| 62.9% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/6 z) 1/2) (*.f64 #s(literal -1/6 binary64) z)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) | |
| ✓ | 61.3% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
| 58.6% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y)))) | |
| ✓ | 61.3% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) |
| 38.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (*.f64 y y))))) | |
| 43.7% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fabs.f64 (/.f64 (*.f64 z z) y)))))) | |
| 37.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) y)) (*.f64 z z))))) | |
| 41.1% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) #s(approx (/ (- (+ (/ 1 (* z z)) 1/2) (/ 1 z)) y) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))))) | |
| 34.8% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) | |
| ✓ | 35.7% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| 2.3% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y)) |
Compiled 2 021 to 696 computations (65.6% saved)
| Inputs |
|---|
#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)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) #s(approx (/ (- (+ (/ 1 (* z z)) 1/2) (/ 1 z)) y) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/6 z) 1/2) (*.f64 #s(literal -1/6 binary64) z)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fabs.f64 (/.f64 (*.f64 z z) y)))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) y)) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.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))) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/.f64 (*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))) y)) (/.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 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) 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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (*.f64 #s(literal -1/2 binary64) z)) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #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 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
5 calls:
| 11.0ms | y |
| 11.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 8.0ms | x |
| 8.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 2 | x |
| 99.5% | 3 | y |
| 87.9% | 2 | z |
| 90.1% | 3 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 93.8% | 3 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
Compiled 27 to 28 computations (-3.7% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #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)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) #s(approx (/ (- (+ (/ 1 (* z z)) 1/2) (/ 1 z)) y) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/6 z) 1/2) (*.f64 #s(literal -1/6 binary64) z)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fabs.f64 (/.f64 (*.f64 z z) y)))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) y)) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.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))) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 #s(approx (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/.f64 (*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))) y)) (/.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 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) 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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (*.f64 #s(literal -1/2 binary64) z)) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y)))) |
4 calls:
| 10.0ms | y |
| 10.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 8.0ms | z |
| 7.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 1 | z |
| 81.9% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 85.3% | 3 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 88.2% | 3 | y |
Compiled 26 to 25 computations (3.8% saved)
| Inputs |
|---|
#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)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) #s(approx (/ (- (+ (/ 1 (* z z)) 1/2) (/ 1 z)) y) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/6 z) 1/2) (*.f64 #s(literal -1/6 binary64) z)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fabs.f64 (/.f64 (*.f64 z z) y)))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) y)) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.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))) (*.f64 y y))))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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:
| 24.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 1 | x |
| 84.8% | 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)) |
#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)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) #s(approx (/ (- (+ (/ 1 (* z z)) 1/2) (/ 1 z)) y) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/6 z) 1/2) (*.f64 #s(literal -1/6 binary64) z)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/6 z) 1/2) (*.f64 #s(literal -1/6 binary64) z)) 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)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 2 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (+ (+ (/ 1 (* (* z z) y)) (/ 1/2 (* y y))) (/ 1/2 y)) (/ (/ 1 y) z)) #s(approx (/ (- (+ (/ 1 (* z z)) 1/2) (/ 1 z)) y) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z) #s(literal 1 binary64)) (neg.f64 y))))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
3 calls:
| 33.0ms | z |
| 3.0ms | y |
| 3.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 1 | z |
| 81.9% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 81.9% | 1 | 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)) |
#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)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
| Outputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
5 calls:
| 3.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 2.0ms | z |
| 2.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.7% | 1 | x |
| 35.7% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 35.7% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 35.7% | 1 | y |
| 35.7% | 1 | z |
Compiled 27 to 28 computations (-3.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.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 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 1.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.3% | 1 | y |
| 2.3% | 1 | x |
| 2.3% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 2.3% | 1 | z |
| 2.3% | 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 |
|---|---|---|
| 27.0ms | 3.3150259074865217e-10 | 1.0307019299346795e-7 |
| 26.0ms | -9.764228897129803e+20 | -2783651.328130161 |
| 26.0ms | 288× | 0 | valid |
| 9.0ms | 118× | 0 | invalid |
Compiled 574 to 484 computations (15.7% saved)
ival-div: 6.0ms (27.9% of total)ival-log: 5.0ms (23.2% of total)ival-add: 4.0ms (18.6% of total)ival-exp: 3.0ms (13.9% of total)ival-mult: 2.0ms (9.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 3.0491803039500823e+209 | 2.902876608900045e+212 |
| 2.0ms | -9.764228897129803e+20 | -2783651.328130161 |
| 22.0ms | 76× | 1 | valid |
| 6.0ms | 52× | 0 | valid |
| 1.0ms | 12× | 0 | invalid |
Compiled 1 366 to 950 computations (30.5% saved)
ival-log: 12.0ms (52.8% of total)ival-div: 3.0ms (13.2% of total)ival-exp: 3.0ms (13.2% of total)adjust: 2.0ms (8.8% of total)ival-add: 2.0ms (8.8% of total)ival-mult: 1.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | -4.778006408572337e+28 | -7.116248779435216e+26 |
| 12.0ms | 31× | 1 | valid |
| 7.0ms | 81× | 0 | valid |
| 3.0ms | 34× | 0 | invalid |
Compiled 569 to 401 computations (29.5% saved)
ival-log: 9.0ms (53.5% of total)ival-div: 3.0ms (17.8% of total)ival-add: 2.0ms (11.9% of total)adjust: 1.0ms (5.9% of total)ival-exp: 1.0ms (5.9% of total)ival-mult: 1.0ms (5.9% 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 | -4.778006408572337e+28 | -7.116248779435216e+26 |
Compiled 604 to 422 computations (30.1% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 402 |
| 1 | 141 | 371 |
| 2 | 225 | 371 |
| 3 | 387 | 371 |
| 4 | 816 | 371 |
| 5 | 2944 | 371 |
| 6 | 6697 | 371 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal -2800000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 944473296573929/9444732965739290427392 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 -2800000 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 9000000000000000074014540593652685153975470291700556044046889692154340686003493375771049288584011241251656343373739509613925625824387738252195017406700205737613102920441566529765303223893005679725113028800151552 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y)))))) |
(if (<=.f64 y #s(literal -720000000000000048049946624 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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))) |
(if (<=.f64 y #s(literal -720000000000000048049946624 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/6 z) 1/2) (*.f64 #s(literal -1/6 binary64) z)) 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)) (/.f64 #s(literal -1 binary64) y)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -2800000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 944473296573929/9444732965739290427392 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 -2800000 binary64)) (not (<=.f64 y #s(literal 944473296573929/9444732965739290427392 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 -2800000 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 9000000000000000074014540593652685153975470291700556044046889692154340686003493375771049288584011241251656343373739509613925625824387738252195017406700205737613102920441566529765303223893005679725113028800151552 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ 1/2 (* y y)) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y)))))) |
(if (<=.f64 y #s(literal -720000000000000048049946624 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 (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))) |
(if (<=.f64 y #s(literal -720000000000000048049946624 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/6 z) 1/2) (*.f64 #s(literal -1/6 binary64) z)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 y #s(literal -1 binary64))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 408 |
| 0 | 77 | 408 |
| 1 | 336 | 362 |
| 2 | 2726 | 362 |
| 0 | 8171 | 362 |
| 0 | 520 | 3158 |
| 1 | 1790 | 2902 |
| 0 | 8283 | 2785 |
| 0 | 603 | 3911 |
| 1 | 2104 | 3386 |
| 0 | 8490 | 3231 |
| 0 | 84 | 808 |
| 0 | 115 | 804 |
| 1 | 559 | 721 |
| 2 | 5190 | 721 |
| 0 | 8166 | 709 |
| 0 | 68 | 596 |
| 0 | 96 | 596 |
| 1 | 425 | 520 |
| 2 | 3874 | 518 |
| 0 | 8323 | 514 |
| 0 | 647 | 4681 |
| 1 | 2350 | 4294 |
| 0 | 8456 | 4089 |
| 0 | 656 | 4269 |
| 1 | 2348 | 3814 |
| 0 | 8424 | 3621 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 494 to 218 computations (55.9% saved)
Compiled 888 to 258 computations (70.9% saved)
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