
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)
| 848.0ms | 2 232× | 1 | valid |
| 668.0ms | 6 024× | 0 | valid |
| 87.0ms | 935× | 0 | invalid |
| 3.0ms | 24× | 1 | exit |
ival-log: 569.0ms (45.1% of total)ival-div: 220.0ms (17.5% of total)ival-add: 169.0ms (13.4% of total)ival-exp: 167.0ms (13.2% of total)ival-mult: 79.0ms (6.3% of total)adjust: 44.0ms (3.5% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 157 | 43 | (1.8680837559936065e-42 -3.8502791404475093e+208 -8.948461900748844e-278) | 3 | (-8.695109315043513e+113 -1.09988473746556e-83 -1.7299541940388653e+237) | (log.f64 (/.f64 y (+.f64 z y))) |
| 43 | 0 | - | 0 | - | (*.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 | 173 | 0 |
log.f64 | (log.f64 (/.f64 y (+.f64 z y))) | uflow-rescue | 19 | 0 |
| ↳ | (log.f64 (/.f64 y (+.f64 z y))) | underflow | 43 | |
| ↳ | (/.f64 y (+.f64 z y)) | underflow | 24 | |
*.f64 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | n*u | 6 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 49 | 3 |
| - | 143 | 61 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 49 | 0 | 3 |
| - | 143 | 0 | 61 |
| number | freq |
|---|---|
| 0 | 64 |
| 1 | 186 |
| 2 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 136.0ms | 272× | 1 | valid |
| 27.0ms | 58× | 2 | valid |
| 16.0ms | 182× | 0 | valid |
Compiled 191 to 44 computations (77% saved)
ival-log: 75.0ms (52.1% of total)adjust: 31.0ms (21.5% of total)ival-div: 13.0ms (9% of total)ival-add: 10.0ms (6.9% of total)ival-exp: 8.0ms (5.6% of total)ival-mult: 6.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 130 |
| 1 | 106 | 104 |
| 2 | 224 | 102 |
| 3 | 484 | 102 |
| 4 | 1103 | 102 |
| 5 | 2317 | 100 |
| 6 | 3307 | 100 |
| 7 | 4465 | 100 |
| 8 | 5408 | 100 |
| 9 | 6091 | 100 |
| 10 | 6493 | 100 |
| 11 | 6717 | 100 |
| 12 | 7002 | 100 |
| 13 | 7297 | 100 |
| 14 | 7550 | 100 |
| 15 | 7967 | 100 |
| 0 | 10 | 13 |
| 0 | 17 | 13 |
| 1 | 22 | 11 |
| 2 | 25 | 11 |
| 3 | 25 | 11 |
| 0 | 25 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.5% | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | |
| cost-diff | 0 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) | |
| cost-diff | 6656 | (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 58 |
| 0 | 17 | 58 |
| 1 | 22 | 52 |
| 2 | 25 | 52 |
| 3 | 25 | 52 |
| 0 | 25 | 52 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
x |
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
(*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
y |
(log.f64 (/.f64 y (+.f64 z y))) |
(/.f64 y (+.f64 z y)) |
(+.f64 z y) |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
x |
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
(*.f64 (log.f64 (/.f64 y (+.f64 z y))) y) |
y |
(log.f64 (/.f64 y (+.f64 z y))) |
(/.f64 y (+.f64 z y)) |
(+.f64 z y) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) | |
| accuracy | 0.015625 | (/.f64 y (+.f64 z y)) | |
| accuracy | 10.100219584695898 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | |
| accuracy | 35.76530366464931 | (log.f64 (/.f64 y (+.f64 z y))) |
| 101.0ms | 136× | 1 | valid |
| 14.0ms | 29× | 2 | valid |
| 8.0ms | 91× | 0 | valid |
Compiled 118 to 22 computations (81.4% saved)
ival-log: 84.0ms (78.7% of total)ival-div: 7.0ms (6.6% of total)ival-add: 5.0ms (4.7% of total)adjust: 4.0ms (3.7% of total)ival-exp: 4.0ms (3.7% of total)ival-mult: 3.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
(*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
(log.f64 (/.f64 y (+.f64 z y))) |
(/.f64 y (+.f64 z y)) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
1 |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) |
(/ 1 y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y) |
(* y (+ (log y) (log (/ 1 z)))) |
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))) |
(+ (log y) (log (/ 1 z))) |
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))) |
(/ y z) |
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z))) |
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
(/ (exp (* -1 z)) y) |
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y) |
(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) |
(+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) |
(* -1 (/ z y)) |
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y) |
(/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y) |
(/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y) |
(+ 1 (* -1 (/ z y))) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) |
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) |
(* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)) |
(* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y)) |
(* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y))) |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(* z (- (* 1/2 (/ z y)) 1)) |
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1)) |
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1)) |
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y))) |
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y)))) |
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(exp (* y (+ (log y) (log (/ 1 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z))))) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))) |
(/ (+ y (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
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(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
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(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(* y (+ (log (* -1 y)) (log (/ -1 z)))) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (log (* -1 y)) (log (/ -1 z))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z)))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z)))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z)))) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | y | @ | -inf | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 7.0ms | x | @ | 0 | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 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))) |
| 3.0ms | z | @ | inf | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 3.0ms | z | @ | -inf | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 603 | 3912 |
| 1 | 1814 | 3296 |
| 2 | 6042 | 2954 |
| 0 | 8238 | 2801 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
1 |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) |
(/ 1 y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y) |
(* y (+ (log y) (log (/ 1 z)))) |
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))) |
(+ (log y) (log (/ 1 z))) |
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))) |
(/ y z) |
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z))) |
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(exp (* -1 z)) |
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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)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
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(/ (exp (* -1 z)) y) |
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y) |
(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
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(* -1 (/ z y)) |
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y) |
(/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y) |
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(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(* z (- (* 1/2 (/ z y)) 1)) |
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1)) |
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1)) |
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y))) |
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y)))) |
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(exp (* y (+ (log y) (log (/ 1 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z))))) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))) |
(/ (+ y (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(* y (+ (log (* -1 y)) (log (/ -1 z)))) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (log (* -1 y)) (log (/ -1 z))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z)))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z)))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z)))) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) x) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) x) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) y) |
(* y (+ (log y) (log (/ 1 z)))) |
(*.f64 (-.f64 (log.f64 y) (log.f64 z)) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))) |
(*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) y (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y) |
(+ (log y) (log (/ 1 z))) |
(-.f64 (log.f64 y) (log.f64 z)) |
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))) |
(-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) y (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y z) z)) y) |
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))) |
(fma.f64 (-.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (*.f64 y y) (/.f64 y z)) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 z z))) y (/.f64 #s(literal 1 binary64) z)) y) |
(exp (* -1 z)) |
(exp.f64 (neg.f64 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y) (exp.f64 (neg.f64 z))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) y) y)) (exp.f64 (neg.f64 z))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/48 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 6 binary64)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) y) y))) (exp.f64 (neg.f64 z))) |
(+ x (/ (exp (* -1 z)) y)) |
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 z (/.f64 z y)) (exp.f64 (neg.f64 z))) x) (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
(+.f64 (fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 (*.f64 (/.f64 z y) (/.f64 z y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (exp.f64 (neg.f64 z)) y)) x) |
(/ (exp (* -1 z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
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(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) x) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
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(/ (exp (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
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(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z))))) |
(*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y)) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y))) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))) |
(+.f64 (fma.f64 (/.f64 (*.f64 y (/.f64 y z)) z) #s(literal 1/2 binary64) (-.f64 (/.f64 (neg.f64 y) z) (log.f64 z))) (log.f64 y)) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))) |
(+.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (*.f64 y (/.f64 y z)) z) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 y z)) (log.f64 z)) (log.f64 y)) |
(/ (+ y (* -1 (/ (pow y 2) z))) z) |
(/.f64 (-.f64 y (*.f64 y (/.f64 y z))) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) (neg.f64 y)) y) z) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z))) z) y) z) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (*.f64 (neg.f64 y) (/.f64 y z)))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (*.f64 y y))) (neg.f64 z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) y (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z))) (neg.f64 z))) (neg.f64 z))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) x) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (/.f64 (neg.f64 y) z) x) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y)) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) x) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 z y)) y)) z)) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) x) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z))) (neg.f64 z))) z)) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (/.f64 (neg.f64 y) z) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 z y)) y)) z)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z))) (neg.f64 z))) z)) |
(* y (+ (log (* -1 y)) (log (/ -1 z)))) |
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(*.f64 y (+.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 y z)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y (/.f64 (*.f64 y (fma.f64 (*.f64 y (/.f64 y z)) #s(literal -1/2 binary64) y)) (neg.f64 z))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y (/.f64 (fma.f64 y y (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y) z) #s(literal -1/6 binary64))) (neg.f64 z))) (neg.f64 z))) |
(+ (log (* -1 y)) (log (/ -1 z))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 y z)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 y (/.f64 y z)) #s(literal -1/2 binary64) y) z)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) z) #s(literal -1/6 binary64))) z)) z)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(/.f64 (fma.f64 y (/.f64 y z) (neg.f64 y)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) (neg.f64 y)) y) z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z))) z) y) z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 0 | 17 | 52 |
| 1 | 64 | 46 |
| 2 | 458 | 46 |
| 3 | 6476 | 46 |
| 0 | 8047 | 46 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
(*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
(log.f64 (/.f64 y (+.f64 z y))) |
(/.f64 y (+.f64 z y)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) y) (pow.f64 (-.f64 z y) y)) |
(*.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) y) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y)) |
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 z y)) y)) |
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) y)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) (pow.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y)) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))))) |
(*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (pow.f64 (exp.f64 y) (neg.f64 (log.f64 (+.f64 z y))))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) y)) |
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 z y) y) (neg.f64 y)) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 y) (fma.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 z y)))) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 y) (log.f64 y))) (neg.f64 (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (log.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))) |
(/.f64 (*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) #s(literal 1 binary64)) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))) |
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (neg.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (-.f64 (neg.f64 y) z)))) |
(/.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))) (pow.f64 (exp.f64 y) (log.f64 y)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) (neg.f64 y))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(*.f64 (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 4 binary64))) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))) (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) (fma.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 4 binary64))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (fma.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
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(/.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (fma.f64 (neg.f64 y) y (*.f64 z z))) (+.f64 z y)) |
(/.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y))) |
(/.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (fma.f64 z z (*.f64 y (+.f64 z y))))) |
(/.f64 (*.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (+.f64 z y))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y)))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (-.f64 (neg.f64 y) z)) |
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (-.f64 (neg.f64 y) z)))) |
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (+.f64 z y)))) |
(/.f64 (*.f64 (-.f64 z y) y) (fma.f64 (neg.f64 y) y (*.f64 z z))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) |
(/.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 y) z) y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 z y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) y)) |
(/.f64 (neg.f64 y) (-.f64 (neg.f64 y) z)) |
(/.f64 y (+.f64 z y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) z)))) |
(neg.f64 (/.f64 y (-.f64 (neg.f64 y) z))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) z (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 y))) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z))) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y))) |
(fma.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(fma.f64 z (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 (neg.f64 y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) z)) (/.f64 y (-.f64 (neg.f64 y) z))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 (neg.f64 y) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 y (+.f64 z y)))) |
(+.f64 (*.f64 z (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (*.f64 (neg.f64 y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))))) |
(+.f64 (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) z) (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y))) |
Compiled 13 008 to 2 363 computations (81.8% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 441 | 9 | 450 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 442 | 9 | 451 |
| Status | Accuracy | Program |
|---|---|---|
| 80.5% | (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x) | |
| ▶ | 83.2% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| 60.2% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| 62.9% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| ▶ | 62.8% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| 82.1% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) | |
| ▶ | 59.8% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
| ▶ | 36.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
| ▶ | 37.7% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 392 to 280 computations (28.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (+.f64 z y)) | |
| cost-diff | 0 | (pow.f64 (/.f64 y (+.f64 z y)) y) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) | |
| cost-diff | 384 | (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 704 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z 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 | 37 | 293 |
| 0 | 58 | 293 |
| 1 | 84 | 279 |
| 2 | 132 | 279 |
| 3 | 207 | 279 |
| 4 | 368 | 279 |
| 5 | 517 | 279 |
| 6 | 851 | 279 |
| 7 | 1715 | 279 |
| 8 | 3427 | 279 |
| 9 | 5767 | 275 |
| 10 | 7308 | 275 |
| 0 | 8027 | 271 |
| 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(+.f64 (/.f64 z y) z) |
(/.f64 z y) |
z |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 y (+.f64 z y)) |
y |
(+.f64 z y) |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (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 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal -1 binary64)))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64)) y) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(+.f64 (/.f64 z y) z) |
(/.f64 z y) |
z |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 y (+.f64 z y)) |
y |
(+.f64 z y) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) | |
| accuracy | 0.015625 | (/.f64 y (+.f64 z y)) | |
| accuracy | 16.61500604401613 | (pow.f64 (/.f64 y (+.f64 z y)) y) | |
| accuracy | 30.1950874438395 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) | |
| accuracy | 0.01953125 | (+.f64 (/.f64 z y) z) | |
| accuracy | 0.09603500976844202 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0.31205807641517336 | (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 28.578192218983713 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) | |
| accuracy | 28.303408018513338 | #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 39.88470923781407 | #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 | 0.0078125 | (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) | |
| accuracy | 20.670775077518748 | #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
| 167.0ms | 136× | 1 | valid |
| 71.0ms | 29× | 2 | valid |
| 25.0ms | 91× | 0 | valid |
Compiled 517 to 65 computations (87.4% saved)
ival-pow: 91.0ms (38.5% of total)ival-log: 82.0ms (34.7% of total)ival-div: 22.0ms (9.3% of total)ival-add: 15.0ms (6.4% of total)adjust: 11.0ms (4.7% of total)ival-mult: 8.0ms (3.4% of total)ival-exp: 4.0ms (1.7% of total)ival-sub: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 (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) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 y (+.f64 z y)) |
(neg.f64 z) |
(+.f64 (/.f64 z 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 (/ z (pow y 2))) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(* 1/2 (/ (pow z 2) (pow y 2))) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(/ 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))) |
(/ z y) |
(/ (+ z (* y z)) y) |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
(/ (exp (* -1 z)) y) |
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) |
(+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) |
(/ (- (* 1/2 z) 1) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) 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))) |
z |
(+ z (/ 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)) |
(+ (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 (/ (+ 1 (* -1/2 z)) y)) |
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) 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 (/ (pow z 2) y)) (* -1 z)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) 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) |
(- (* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) (/ 1 y)) |
(+ (* z (- (* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) (/ 1 y))) (/ 1 y)) |
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y)))) |
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(* z (+ 1 (/ 1 y))) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(/ (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)) |
(* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) |
(* z (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z)))) |
(* 1/2 (/ (* (pow z 2) (+ 1 (/ 1 y))) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z)))) |
(/ (+ y (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z) |
(+ 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)))) |
(* -1 (* z (+ (* -1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z))))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ (+ 1 (/ 1 y)) y)))) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (neg z) (+ (/ z y) z)) |
| 2.0ms | 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) (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (neg z) (+ (/ z y) z)) |
| 2.0ms | 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) (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (neg z) (+ (/ z y) z)) |
| 2.0ms | 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) (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (neg z) (+ (/ z y) z)) |
| 2.0ms | x | @ | 0 | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (neg z) (+ (/ z y) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 606 | 3776 |
| 1 | 1840 | 3226 |
| 2 | 6038 | 2900 |
| 0 | 8181 | 2748 |
| 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))))))) |
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(* 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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(* 1/2 (/ z (pow y 2))) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(* 1/2 (/ (pow z 2) (pow y 2))) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(/ 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))) |
(/ z y) |
(/ (+ z (* y 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) |
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(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
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(/ (- (* 1/2 z) 1) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y) |
(+ 1 (* -1 (/ z y))) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) |
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z |
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(+ 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)))) |
(* -1 (* z (+ (* -1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z))))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ (+ 1 (/ 1 y)) y)))) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) x) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) x) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z))) y (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) y (-.f64 (log.f64 y) (log.f64 z))) y #s(literal 1 binary64)) |
(* y (+ (log y) (log (/ 1 z)))) |
(*.f64 (-.f64 (log.f64 y) (log.f64 z)) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))) |
(*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) y (/.f64 #s(literal -1 binary64) z)) y (-.f64 (log.f64 y) (log.f64 z))) y) |
(* 1/2 (/ z (pow y 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) |
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y) y) |
(* 1/2 (/ (pow z 2) (pow y 2))) |
(*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2)) |
(/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y)) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y z) z)) y) |
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (-.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y (/.f64 #s(literal 1 binary64) z)) y) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 z z))) y (/.f64 #s(literal 1 binary64) z)) y) |
(/ z y) |
(/.f64 z y) |
(/ (+ z (* y z)) y) |
(/.f64 (fma.f64 z y 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (/.f64 z y) z) (exp.f64 (neg.f64 z))) x) (/.f64 (exp.f64 (neg.f64 z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
(+.f64 (fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 z y) z) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (exp.f64 (neg.f64 z)) y)) x) |
(/ (exp (* -1 z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(/ (+ (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 z z)) (/.f64 #s(literal 1/2 binary64) y) (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)) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) y) y)) (exp.f64 (neg.f64 z))) 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 (exp.f64 (neg.f64 z)) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/48 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 6 binary64)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) y) y))) (exp.f64 (neg.f64 z))) y) |
(exp (* -1 z)) |
(exp.f64 (neg.f64 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y) (exp.f64 (neg.f64 z))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) y) y)) (exp.f64 (neg.f64 z))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/48 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 6 binary64)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))) y) y))) (exp.f64 (neg.f64 z))) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y) z) |
(+ (* -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)))) |
(-.f64 (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64)) y) y)) z) |
(+ (* -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))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/24 binary64) (-.f64 (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64)) y) y)) z)) |
(/ (- (* 1/2 z) 1) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y) |
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/.f64 (fma.f64 (fma.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 y) z) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
(+ 1 (* -1 (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) |
(fma.f64 (/.f64 z y) (+.f64 (/.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) |
(fma.f64 (/.f64 z y) (+.f64 (/.f64 z y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) |
z |
(+ z (/ z y)) |
(+.f64 (/.f64 z y) z) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
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(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) |
(*.f64 (/.f64 (+.f64 (/.f64 z y) z) y) #s(literal 1/2 binary64)) |
(* z (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z) |
(* 1/2 (/ (* (pow z 2) (+ 1 (/ 1 y))) y)) |
(*.f64 (*.f64 z (/.f64 (+.f64 (/.f64 z y) z) y)) #s(literal 1/2 binary64)) |
(* (pow z 2) (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z) z) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) z) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z z)) |
(/ (+ y (* -1 (/ (pow y 2) z))) z) |
(/.f64 (-.f64 y (*.f64 y (/.f64 y z))) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) (neg.f64 y)) y) z) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z))) z) y) z) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) x) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (/.f64 (neg.f64 y) z) x) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y)) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) x) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 z y)) y)) z)) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) x) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z))) (neg.f64 z))) z)) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (/.f64 (neg.f64 y) z) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 z y)) y)) z)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z))) (neg.f64 z))) z)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (*.f64 (neg.f64 y) (/.f64 y z)))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (*.f64 y y))) (neg.f64 z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) y (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z))) (neg.f64 z))) (neg.f64 z))) |
(* y (+ (log (* -1 y)) (log (/ -1 z)))) |
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(*.f64 y (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) (/.f64 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 (*.f64 y (fma.f64 (*.f64 y (/.f64 y z)) #s(literal -1/2 binary64) y)) (neg.f64 z))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y (/.f64 (fma.f64 y y (/.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) z) #s(literal -1/6 binary64)))) (neg.f64 z))) (neg.f64 z))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (+ (* -1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ (+ 1 (/ 1 y)) y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z)) z) z) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(/.f64 (fma.f64 y (/.f64 y z) (neg.f64 y)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) (neg.f64 y)) y) z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z))) z) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 261 |
| 0 | 58 | 247 |
| 1 | 241 | 247 |
| 2 | 2001 | 247 |
| 0 | 8504 | 247 |
| 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) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 y (+.f64 z y)) |
(neg.f64 z) |
(+.f64 (/.f64 z y) z) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))) #s(literal 3 binary64)) (pow.f64 (/.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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))) (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))) (fma.f64 (/.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 (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 (*.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 (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)) |
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(/.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) (neg.f64 y))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 y (+.f64 z y))) (*.f64 y #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) (*.f64 y #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 z y) y) #s(literal -2 binary64))) (*.f64 y #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) |
(*.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 z y))) (-.f64 z y)) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y (-.f64 y z) (*.f64 z z))) |
(*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 (+.f64 z y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z y))) |
(*.f64 y (exp.f64 (neg.f64 (log.f64 (+.f64 z y))))) |
(*.f64 y (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (+.f64 z y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 z y) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (+.f64 z y))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (neg.f64 (+.f64 z y))))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 y) (neg.f64 (+.f64 z y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 z y) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z y) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 z y) y)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 z y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 z y) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) y)) |
(/.f64 y (exp.f64 (log.f64 (+.f64 z y)))) |
(/.f64 y (+.f64 z y)) |
(neg.f64 (/.f64 (neg.f64 y) (+.f64 z y))) |
(neg.f64 (/.f64 y (neg.f64 (+.f64 z y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 z y))) (/.f64 y (neg.f64 (+.f64 z y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 y (+.f64 z y)))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(neg.f64 z) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(*.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (-.f64 (/.f64 z y) z) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 z y) z) (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 (/.f64 z y) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (/.f64 z y) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 (/.f64 z y) z)) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 (/.f64 z y) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 (/.f64 z y) z)) (/.f64 (*.f64 z z) (-.f64 (/.f64 z y) z)) (*.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 (/.f64 z y) z)) (/.f64 (*.f64 z z) (-.f64 (/.f64 z y) z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (/.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (-.f64 (/.f64 z y) z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (-.f64 z (/.f64 z y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (/.f64 z y) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 z y) z) (/.f64 y z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (/.f64 z y) z)) |
(/.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (/.f64 (-.f64 (/.f64 z y) z) (/.f64 y z)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 z y) z) (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 z y) z) (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) z) |
(fma.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 y)) z) |
(fma.f64 (/.f64 z y) #s(literal 1 binary64) z) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 z #s(literal 1 binary64)) z) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) z) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) z z) |
(fma.f64 #s(literal 1 binary64) (/.f64 z y) z) |
(fma.f64 #s(literal 1 binary64) z (/.f64 z y)) |
(fma.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y) z) |
(fma.f64 z (pow.f64 y #s(literal -1 binary64)) z) |
(fma.f64 z #s(literal 1 binary64) (/.f64 z y)) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (/.f64 z y))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 z (/.f64 z y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 (/.f64 z y) z)) (/.f64 (*.f64 z z) (-.f64 (/.f64 z y) z))) |
(+.f64 (/.f64 z y) z) |
(+.f64 z (/.f64 z y)) |
Compiled 22 754 to 2 591 computations (88.6% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 574 | 9 | 583 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 576 | 16 | 592 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.8% | (fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
| ✓ | 83.2% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| ▶ | 60.2% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| ✓ | 62.8% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| ▶ | 82.1% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
| ✓ | 59.8% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
| 63.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y)))) | |
| 63.5% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y) y)) z (/.f64 #s(literal 1 binary64) y)))) | |
| 66.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z 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)))) | |
| ▶ | 54.1% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y))))) |
| ▶ | 40.7% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
| 14.3% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) | |
| ✓ | 36.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
| 29.5% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) | |
| ✓ | 37.7% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| 36.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (/.f64 #s(literal -1 binary64) y))) |
Compiled 838 to 572 computations (31.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| cost-diff | 128 | (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y)))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y))))) | |
| cost-diff | 128 | (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) | |
| cost-diff | 192 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) | |
| cost-diff | 0 | (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 320 | (fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) | |
| 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 | 59 | 661 |
| 0 | 93 | 661 |
| 1 | 165 | 634 |
| 2 | 332 | 633 |
| 3 | 917 | 633 |
| 4 | 2803 | 621 |
| 5 | 6705 | 621 |
| 0 | 8257 | 591 |
| 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 |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) |
#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 |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
x |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)) |
(*.f64 z (/.f64 z (*.f64 y y))) |
z |
(/.f64 z (*.f64 y y)) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y))))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y))) |
(/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y)) |
(+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) |
y |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))) |
z |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 y y) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
#s(literal 1/3 binary64) |
(*.f64 y y) |
(neg.f64 z) |
z |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| 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 |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x) |
(neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) |
#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 |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
x |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 z y) y) z) #s(literal 1/2 binary64)))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 z y) y) z) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 z y) y) z) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 z y) y) z) #s(literal 1/2 binary64)) |
(*.f64 z (/.f64 z (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 z y) y) z) |
z |
(/.f64 z (*.f64 y y)) |
(/.f64 (/.f64 z y) y) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y))))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z y) (*.f64 y y)))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z y) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y))) |
#s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z y) (*.f64 y y))) |
(/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z y) (*.f64 y y)) |
(+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) |
(fma.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z y) |
y |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) z) |
z |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 y y) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) |
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
#s(literal 1/3 binary64) |
(*.f64 y y) |
(neg.f64 z) |
z |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.28651765719149846 | (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) | |
| accuracy | 0.47262046125789686 | (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) | |
| accuracy | 2.2806735252947656 | (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) | |
| accuracy | 25.733653876265425 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) | |
| accuracy | 0.02734375 | (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))) | |
| accuracy | 23.506419003161422 | (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y)) | |
| accuracy | 28.578192218983713 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y)))) | |
| accuracy | 2.3284788066715225 | (*.f64 z (/.f64 z (*.f64 y y))) | |
| accuracy | 5.618732185120494 | (/.f64 z (*.f64 y y)) | |
| accuracy | 28.578192218983713 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))) | |
| accuracy | 46.69168275875539 | #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.0 | (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) | |
| accuracy | 0.00390625 | (fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) | |
| accuracy | 28.303408018513338 | #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) | |
| accuracy | 16.41699232033329 | #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) |
| 181.0ms | 114× | 1 | valid |
| 72.0ms | 142× | 0 | valid |
Compiled 1 080 to 114 computations (89.4% saved)
adjust: 61.0ms (28% of total)ival-add: 56.0ms (25.7% of total)ival-div: 38.0ms (17.5% of total)ival-mult: 26.0ms (11.9% of total)ival-log: 19.0ms (8.7% of total)const: 8.0ms (3.7% of total)ival-exp: 4.0ms (1.8% of total)ival-neg: 3.0ms (1.4% of total)ival-sub: 1.0ms (0.5% 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)) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) |
#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) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) |
(+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y)))) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(/.f64 z (*.f64 y y)) |
(*.f64 z (/.f64 z (*.f64 y y))) |
(/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y)) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(/ 1 y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y) |
1 |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) |
-1 |
(- (* -1 (* y (+ (log y) (log (/ 1 z))))) 1) |
(- (* y (- (* y (- (/ 1 z) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)))) (+ (log y) (log (/ 1 z))))) 1) |
(- (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)))) (+ (log y) (log (/ 1 z))))) 1) |
(* 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) |
(+ (* 1/2 z) (* y (- (* 1/2 z) 1))) |
(* 1/2 (pow z 2)) |
(+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* -1/3 (/ z (pow y 2))) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2)) |
(/ z (pow y 2)) |
(/ (pow z 2) (pow y 2)) |
(+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) |
(/ 1/3 (pow y 2)) |
(* -1/3 (/ (pow z 2) (pow y 2))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
(/ (exp (* -1 z)) y) |
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(* -1 (exp (* -1 z))) |
(- (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (exp (* -1 z))) |
(- (* -1 (/ (* (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)))) |
(- (* -1 (/ (* (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)) (+ (* 1/2 (/ (* (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))))) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y) |
(* y (- (* 1/2 z) 1)) |
(* y (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)) |
(* y (+ 1 (* z (- (* 1/2 z) 1)))) |
(* y (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))) |
(+ 1/2 (* -1/6 z)) |
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))) |
(* y (* z (- (* 1/2 z) 1))) |
(* y (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) |
(- (* z (+ 1/2 (* -1/6 z))) 1) |
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1) |
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(- (* -1 (/ (- (/ (* (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 (/ (- (/ (* (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)) (exp (* -1 z))) |
(* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (* y (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))))) |
(* -1 (* y (- (* -1 (* z (- (* 1/2 z) 1))) 1))) |
(* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z))) |
(* -1 (/ (- (* -1 (* z (- (* 1/2 z) 1))) 1) y)) |
(* -1 (/ (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1) y)) |
(* -1 (* y (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))))) |
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(- z 1) |
(- (* z (+ 1 (* -1 (* z (+ 1/2 (* 1/2 (/ 1 y))))))) 1) |
(- (* z (+ 1 (* z (- (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ 1/2 (* 1/2 (/ 1 y))))))) 1) |
(+ (* z (- (* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) (/ 1 y))) (/ 1 y)) |
(* -1 y) |
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))) |
y |
(+ y (* -1 (* y z))) |
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))) |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(exp (* y (+ (log y) (log (/ 1 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) |
(* -1 (exp (* y (+ (log y) (log (/ 1 z)))))) |
(- (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z) (exp (* y (+ (log y) (log (/ 1 z)))))) |
(- (* -1 (/ (* (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)))) |
(- (* -1 (/ (* (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 (/ (* (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))))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* 1/2 (/ (* (pow z 2) (+ 1 (/ 1 y))) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z)))) |
(* z (+ 1/2 (* 1/2 y))) |
(* z (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y)))) |
(* (pow z 2) (+ 1/2 (* 1/2 y))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y)))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (+ (* 1/2 y) (/ y (pow z 2)))))) |
(* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(/ (* (pow z 2) (+ 1/2 (* 1/2 y))) (pow y 2)) |
(* (pow z 2) (- (+ (/ 1/2 y) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (/ 1/2 y) (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))) |
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2)))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(* -1 (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(- (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(- (* -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 (/ (- (/ (* (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)) (exp (* 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 (/ 1 y)) y)))) |
(* -1 (* z (- (* -1/2 y) 1/2))) |
(* -1 (* z (- (+ (* -1/2 y) (/ y z)) 1/2))) |
(* -1 (* (pow z 2) (- (* -1/2 y) 1/2))) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ y z)))) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ (+ y (* -1 (/ y z))) z)))) |
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (/ (* (pow z 2) (- (* -1/2 y) 1/2)) (pow y 2))) |
(* (pow z 2) (- (* -1 (/ (- (* -1/2 y) 1/2) (pow y 2))) (/ 1 (* y z)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1/2 y) 1/2) (pow y 2))) (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z 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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (* (* z (/ z (* y y))) 1/2) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (/ z (* y y)) (* z (/ z (* y y))) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (* y y)) (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))) (/ 1/3 (* y y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 7.0ms | z | @ | inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z 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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (* (* z (/ z (* y y))) 1/2) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (/ z (* y y)) (* z (/ z (* y y))) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (* y y)) (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))) (/ 1/3 (* y y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 6.0ms | x | @ | 0 | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z 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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (* (* z (/ z (* y y))) 1/2) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (/ z (* y y)) (* z (/ z (* y y))) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (* y y)) (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))) (/ 1/3 (* y y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 6.0ms | z | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z 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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (* (* z (/ z (* y y))) 1/2) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (/ z (* y y)) (* z (/ z (* y y))) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (* y y)) (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))) (/ 1/3 (* y y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 5.0ms | y | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z 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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (* (* z (/ z (* y y))) 1/2) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (/ z (* y y)) (* z (/ z (* y y))) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (* y y)) (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))) (/ 1/3 (* y y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 637 | 4772 |
| 1 | 2035 | 4152 |
| 2 | 6878 | 4043 |
| 0 | 8183 | 3809 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(/ 1 y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y) |
1 |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) |
-1 |
(- (* -1 (* y (+ (log y) (log (/ 1 z))))) 1) |
(- (* y (- (* y (- (/ 1 z) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)))) (+ (log y) (log (/ 1 z))))) 1) |
(- (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)))) (+ (log y) (log (/ 1 z))))) 1) |
(* 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) |
(+ (* 1/2 z) (* y (- (* 1/2 z) 1))) |
(* 1/2 (pow z 2)) |
(+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* -1/3 (/ z (pow y 2))) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2)) |
(/ z (pow y 2)) |
(/ (pow z 2) (pow y 2)) |
(+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) |
(/ 1/3 (pow y 2)) |
(* -1/3 (/ (pow z 2) (pow y 2))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
(/ (exp (* -1 z)) y) |
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(* -1 (exp (* -1 z))) |
(- (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (exp (* -1 z))) |
(- (* -1 (/ (* (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)))) |
(- (* -1 (/ (* (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)) (+ (* 1/2 (/ (* (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))))) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y) |
(* y (- (* 1/2 z) 1)) |
(* y (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)) |
(* y (+ 1 (* z (- (* 1/2 z) 1)))) |
(* y (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))) |
(+ 1/2 (* -1/6 z)) |
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))) |
(* y (* z (- (* 1/2 z) 1))) |
(* y (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) |
(- (* z (+ 1/2 (* -1/6 z))) 1) |
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1) |
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(- (* -1 (/ (- (/ (* (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 (/ (- (/ (* (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)) (exp (* -1 z))) |
(* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (* y (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))))) |
(* -1 (* y (- (* -1 (* z (- (* 1/2 z) 1))) 1))) |
(* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z))) |
(* -1 (/ (- (* -1 (* z (- (* 1/2 z) 1))) 1) y)) |
(* -1 (/ (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1) y)) |
(* -1 (* y (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))))) |
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(- z 1) |
(- (* z (+ 1 (* -1 (* z (+ 1/2 (* 1/2 (/ 1 y))))))) 1) |
(- (* z (+ 1 (* z (- (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ 1/2 (* 1/2 (/ 1 y))))))) 1) |
(+ (* z (- (* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) (/ 1 y))) (/ 1 y)) |
(* -1 y) |
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))) |
y |
(+ y (* -1 (* y z))) |
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))) |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(exp (* y (+ (log y) (log (/ 1 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) |
(* -1 (exp (* y (+ (log y) (log (/ 1 z)))))) |
(- (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z) (exp (* y (+ (log y) (log (/ 1 z)))))) |
(- (* -1 (/ (* (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)))) |
(- (* -1 (/ (* (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 (/ (* (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))))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* 1/2 (/ (* (pow z 2) (+ 1 (/ 1 y))) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z)))) |
(* z (+ 1/2 (* 1/2 y))) |
(* z (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y)))) |
(* (pow z 2) (+ 1/2 (* 1/2 y))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y)))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (+ (* 1/2 y) (/ y (pow z 2)))))) |
(* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(/ (* (pow z 2) (+ 1/2 (* 1/2 y))) (pow y 2)) |
(* (pow z 2) (- (+ (/ 1/2 y) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (/ 1/2 y) (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))) |
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2)))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(* -1 (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(- (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(- (* -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 (/ (- (/ (* (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)) (exp (* 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 (/ 1 y)) y)))) |
(* -1 (* z (- (* -1/2 y) 1/2))) |
(* -1 (* z (- (+ (* -1/2 y) (/ y z)) 1/2))) |
(* -1 (* (pow z 2) (- (* -1/2 y) 1/2))) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ y z)))) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ (+ y (* -1 (/ y z))) z)))) |
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (/ (* (pow z 2) (- (* -1/2 y) 1/2)) (pow y 2))) |
(* (pow z 2) (- (* -1 (/ (- (* -1/2 y) 1/2) (pow y 2))) (/ 1 (* y z)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1/2 y) 1/2) (pow y 2))) (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 y) x) (log.f64 z)) y #s(literal 1 binary64)) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) |
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(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y) |
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(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) y (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z))) (neg.f64 z))) (neg.f64 z))) |
(* -1 (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(neg.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y))) |
(- (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (/.f64 (*.f64 y y) z) (*.f64 (neg.f64 (pow.f64 (neg.f64 y) y)) (pow.f64 (/.f64 #s(literal -1 binary64) z) y))) |
(- (* -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)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (*.f64 (neg.f64 y) y))) (neg.f64 z)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y))) |
(- (* -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)) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z) (*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) z) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (*.f64 y y))) z) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ (+ 1 (/ 1 y)) y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z)) z) z) |
(* -1 (* z (- (* -1/2 y) 1/2))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (neg.f64 z)) |
(* -1 (* z (- (+ (* -1/2 y) (/ y z)) 1/2))) |
(*.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 y z)) #s(literal 1/2 binary64))) z) |
(* -1 (* (pow z 2) (- (* -1/2 y) 1/2))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ y z)))) |
(*.f64 (*.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 y z)) #s(literal 1/2 binary64))) z) z) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ (+ y (* -1 (/ y z))) z)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) z) z) |
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)) (neg.f64 z)) |
(* -1 (/ (* (pow z 2) (- (* -1/2 y) 1/2)) (pow y 2))) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) z) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) y)) |
(* (pow z 2) (- (* -1 (/ (- (* -1/2 y) 1/2) (pow y 2))) (/ 1 (* y z)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) y) y)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (- (* -1/2 y) 1/2) (pow y 2))) (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
(*.f64 (*.f64 (-.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) z)) z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 529 |
| 0 | 93 | 529 |
| 1 | 439 | 492 |
| 2 | 4021 | 492 |
| 0 | 8140 | 473 |
| 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)) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) |
#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) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) |
(+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y)))) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(/.f64 z (*.f64 y y)) |
(*.f64 z (/.f64 z (*.f64 y y))) |
(/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y)) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.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))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) x) |
(fma.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) (/.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(pow.f64 (/.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))))) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) y)) |
(neg.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (neg.f64 y))) |
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(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) |
(pow.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) y)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) y) y) |
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 z (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z)) |
Compiled 30 012 to 2 978 computations (90.1% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 554 | 7 | 561 |
| Fresh | 2 | 4 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 560 | 17 | 577 |
| Status | Accuracy | Program |
|---|---|---|
| 60.2% | (fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) z #s(literal 1 binary64)) z #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) x) | |
| ▶ | 62.8% | (fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
| ✓ | 83.2% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| ▶ | 67.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| ▶ | 49.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| ▶ | 46.2% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) |
| ✓ | 62.8% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| ✓ | 82.1% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
| 66.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z 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)))) | |
| 66.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) y) y)))) | |
| ▶ | 54.8% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) |
| ✓ | 40.7% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
| 14.3% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) | |
| ✓ | 36.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
| 29.5% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) | |
| ✓ | 37.7% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| 36.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (/.f64 #s(literal -1 binary64) y))) |
Compiled 1 043 to 694 computations (33.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) | |
| cost-diff | 192 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (-.f64 z #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) | |
| cost-diff | 192 | (fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 1300 |
| 0 | 133 | 1300 |
| 1 | 234 | 1257 |
| 2 | 443 | 1257 |
| 3 | 1274 | 1238 |
| 4 | 3578 | 1231 |
| 5 | 6768 | 1214 |
| 0 | 8094 | 1176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
y |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
#s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
x |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))) |
(/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)) |
#s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) |
(fma.f64 (neg.f64 y) z y) |
(neg.f64 y) |
y |
z |
(*.f64 y y) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
z |
#s(literal 1/2 binary64) |
y |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
y |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 #s(literal -1/3 binary64) z) z) |
(*.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
y |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
(-.f64 x (/.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) y)) |
#s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
x |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))) |
(/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)) |
#s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) |
(fma.f64 (neg.f64 y) z y) |
(neg.f64 y) |
y |
z |
(*.f64 y y) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
z |
#s(literal 1/2 binary64) |
y |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.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))) z (neg.f64 y)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (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))) z (neg.f64 y)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.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))) z (neg.f64 y)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (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))) z (neg.f64 y)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.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))) z (neg.f64 y)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y) |
(/.f64 (/.f64 (fma.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))) z (neg.f64 y)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) |
(/.f64 (fma.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))) z (neg.f64 y)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) |
(fma.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))) z (neg.f64 y)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) |
(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))) z (neg.f64 y)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
y |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) |
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 #s(literal -1/3 binary64) z) z) |
(*.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.33162102942081 | (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y) | |
| accuracy | 5.726533601622881 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) | |
| accuracy | 15.396848810053386 | (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) | |
| accuracy | 25.733653876265425 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) | |
| accuracy | 0.37109375 | (*.f64 #s(literal -1/3 binary64) z) | |
| accuracy | 7.845589623348669 | (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y) | |
| accuracy | 15.385069673771948 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) | |
| accuracy | 25.733653876265425 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| accuracy | 0.0 | #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))) | |
| accuracy | 23.506419003161422 | (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)) | |
| accuracy | 25.984796360306433 | #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) | |
| accuracy | 28.578192218983713 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0 | (-.f64 z #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) | |
| accuracy | 28.303408018513338 | #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) | |
| accuracy | 0.140625 | (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) | |
| accuracy | 0.28651765719149846 | (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) | |
| accuracy | 25.733653876265425 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| accuracy | 26.595802312554124 | #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) |
| 289.0ms | 114× | 1 | valid |
| 207.0ms | 142× | 0 | valid |
Compiled 1 984 to 165 computations (91.7% saved)
ival-add: 170.0ms (39.5% of total)ival-div: 127.0ms (29.5% of total)ival-mult: 73.0ms (16.9% of total)ival-log: 19.0ms (4.4% of total)adjust: 16.0ms (3.7% of total)const: 16.0ms (3.7% of total)ival-exp: 4.0ms (0.9% of total)ival-neg: 4.0ms (0.9% of total)ival-sub: 1.0ms (0.2% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
#s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) |
(-.f64 z #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))) |
(/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (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)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
#s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y) |
(*.f64 #s(literal -1/3 binary64) z) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(/ 1 y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y) |
1 |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) |
(* -1/3 (/ (pow z 3) (pow y 2))) |
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
-1 |
(- (* -1 (* y (+ (log y) (log (/ 1 z))))) 1) |
(- (* y (- (* y (- (/ 1 z) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)))) (+ (log y) (log (/ 1 z))))) 1) |
(- (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)))) (+ (log y) (log (/ 1 z))))) 1) |
(/ -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)) |
(* z (+ 1/2 (* -1/2 z))) |
(+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))) |
(* -1/3 (/ z (pow y 2))) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2)) |
(* -1/3 (/ (pow z 2) (pow y 2))) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2)) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2)) |
(* 1/2 (pow z 2)) |
(+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* -1/3 (/ z y)) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) y) |
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) y) |
(* -1/3 (/ (pow z 2) y)) |
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) y) |
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) y) |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
(/ (exp (* -1 z)) y) |
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) |
(+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) |
(+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) |
(* -1 (exp (* -1 z))) |
(- (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (exp (* -1 z))) |
(- (* -1 (/ (* (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)))) |
(- (* -1 (/ (* (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)) (+ (* 1/2 (/ (* (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))))) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y) |
(* y (- (* z (+ 1/2 (* -1/6 z))) 1)) |
(* y (- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)) |
(+ 1/2 (* -1/6 z)) |
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))) |
(- (* z (+ 1/2 (* -1/6 z))) 1) |
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1) |
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1) |
(* y (+ 1 (* z (- (* 1/2 z) 1)))) |
(* y (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))) |
(* y (+ 1/2 (* -1/6 z))) |
(* y (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))) |
(* y (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y))))))) |
(* y (- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) |
(- (* -1 (/ (- (/ (* (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 (/ (- (/ (* (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)) (exp (* -1 z))) |
(* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (- (* -1 (* z (- (* 1/2 z) 1))) 1) y)) |
(* -1 (/ (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1) y)) |
(* -1 (* y (+ (* -1 (- (* z (+ 1/2 (* -1/6 z))) 1)) (* -1 (/ (* z (+ 1/2 (* -1/2 z))) y))))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z))) |
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(* -1 (* y (- (* -1 (* z (- (* 1/2 z) 1))) 1))) |
(* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (* -1/2 z)) y))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (+ (* -1/2 z) (* -1/3 (/ z y)))) y))))) |
(+ 1/2 (+ (* -1 (/ (+ (* -1 (+ 1/2 (* -1/2 z))) (* 1/3 (/ z y))) y)) (* -1/6 z))) |
(* -1 (* y (+ (* -1 (- (* z (+ 1/2 (* -1/6 z))) 1)) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* z (+ 1/2 (* -1/2 z)))) y))))) |
(- (+ (* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) y))) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(- z 1) |
(- (* z (+ 1 (* -1 (* z (+ 1/2 (* 1/2 (/ 1 y))))))) 1) |
(- (* z (+ 1 (* z (- (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ 1/2 (* 1/2 (/ 1 y))))))) 1) |
(+ (* z (- (* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) (/ 1 y))) (/ 1 y)) |
(* -1 y) |
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))) |
(+ (* -1 y) (* z (+ 1/2 (+ (* 1/2 y) (* z (- (* -1/6 y) 1/2)))))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))) |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1) |
1/2 |
y |
(+ y (* -1 (* y z))) |
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))) |
(+ 1/2 (* 1/2 y)) |
(+ 1/2 (+ (* 1/2 y) (* z (- (* -1/6 y) (+ 1/2 (* 1/3 (/ 1 y))))))) |
(/ (+ 1/2 (* 1/2 y)) y) |
(* -1/3 z) |
(+ (* -1 y) (* z (+ 1/2 (+ (* 1/2 y) (* z (- (* -1/6 y) (+ 1/2 (* 1/3 (/ 1 y))))))))) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(/ (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 z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* (pow z 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2)))) |
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2)))) |
(* -1 (exp (* y (+ (log y) (log (/ 1 z)))))) |
(- (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z) (exp (* y (+ (log y) (log (/ 1 z)))))) |
(- (* -1 (/ (* (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)))) |
(- (* -1 (/ (* (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 (/ (* (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))))) |
z |
(* z (- 1 (/ 1 z))) |
(* 1/2 (/ (* (pow z 2) (+ 1 (/ 1 y))) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z)))) |
(/ (* (pow z 2) (+ 1/2 (* 1/2 y))) (pow y 2)) |
(* (pow z 2) (- (+ (/ 1/2 y) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (/ 1/2 y) (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))) |
(* (pow z 2) (- (* -1/6 y) 1/2)) |
(* (pow z 2) (- (+ (* -1/6 y) (+ (* 1/2 (/ y z)) (* 1/2 (/ 1 z)))) 1/2)) |
(* (pow z 2) (- (+ (* -1 (/ y (pow z 2))) (+ (* -1/6 y) (+ (* 1/2 (/ y z)) (* 1/2 (/ 1 z))))) 1/2)) |
(* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2)))) |
(* -1/6 z) |
(* z (- (* 1/2 (/ 1 z)) 1/6)) |
(* (pow z 2) (+ 1/2 (* 1/2 y))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y)))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (+ (* 1/2 y) (/ y (pow z 2)))))) |
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) y) |
(* z (- (+ (* 1/2 (/ y z)) (+ (- (* -1/6 y) 1/2) (* 1/2 (/ 1 z)))) (* 1/3 (/ 1 y)))) |
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) (pow y 2)) |
(* z (- (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ (- (* -1/6 y) 1/2) y))) (* 1/3 (/ 1 (pow y 2))))) |
(/ (* (pow z 2) (- (* y (- (* -1/6 y) 1/2)) 1/3)) y) |
(* (pow z 2) (- (+ (* 1/2 (/ y z)) (+ (- (* -1/6 y) 1/2) (* 1/2 (/ 1 z)))) (* 1/3 (/ 1 y)))) |
(* (pow z 2) (- (+ (* -1 (/ y (pow z 2))) (+ (* 1/2 (/ y z)) (+ (- (* -1/6 y) 1/2) (* 1/2 (/ 1 z))))) (* 1/3 (/ 1 y)))) |
(/ (* (pow z 2) (- (* y (- (* -1/6 y) 1/2)) 1/3)) (pow y 2)) |
(* (pow z 2) (- (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ (- (* -1/6 y) 1/2) y))) (* 1/3 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ (- (* -1/6 y) 1/2) y))) (+ (* 1/3 (/ 1 (pow y 2))) (/ 1 (pow z 2))))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(- (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(- (* -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 (/ (- (/ (* (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)) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(* -1 (* z (- (/ 1 z) 1))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ (+ 1 (/ 1 y)) y)))) |
(* -1 (/ (* (pow z 2) (- (* -1/2 y) 1/2)) (pow y 2))) |
(* (pow z 2) (- (* -1 (/ (- (* -1/2 y) 1/2) (pow y 2))) (/ 1 (* y z)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1/2 y) 1/2) (pow y 2))) (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)))) |
(* (pow z 2) (- (+ (* -1 (/ (- (* -1/2 y) 1/2) z)) (* -1/6 y)) 1/2)) |
(* (pow z 2) (- (+ (* -1 (/ (- (+ (* -1/2 y) (/ y z)) 1/2) z)) (* -1/6 y)) 1/2)) |
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z))))) |
(* -1 (* (pow z 2) (- (* -1/2 y) 1/2))) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ y z)))) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ (+ y (* -1 (/ y z))) z)))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) y)) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 y)) z)) (+ (+ 1/2 (* 1/6 y)) (* 1/3 (/ 1 y)))))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (/ (+ 1/2 (* 1/6 y)) y))))) |
(* (pow z 2) (- (+ (* -1 (/ (- (* -1/2 y) 1/2) z)) (- (* -1/6 y) 1/2)) (* 1/3 (/ 1 y)))) |
(* (pow z 2) (- (+ (* -1 (/ (- (+ (* -1/2 y) (/ y z)) 1/2) z)) (- (* -1/6 y) 1/2)) (* 1/3 (/ 1 y)))) |
(* (pow z 2) (- (+ (* -1 (/ (- (/ 1 z) (+ 1/2 (* 1/2 (/ 1 y)))) z)) (/ (- (* -1/6 y) 1/2) y)) (* 1/3 (/ 1 (pow y 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | z | @ | inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z y)))))) (- z 1) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (* y y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* -1/6 z) 1/2) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (* -1/3 z) (/ (+ (* (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) y) (* (* -1/3 z) z)) y) (/ (/ (+ (* (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) y) (* (* -1/3 z) z)) y) y)) |
| 8.0ms | x | @ | 0 | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z y)))))) (- z 1) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (* y y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* -1/6 z) 1/2) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (* -1/3 z) (/ (+ (* (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) y) (* (* -1/3 z) z)) y) (/ (/ (+ (* (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) y) (* (* -1/3 z) z)) y) y)) |
| 6.0ms | z | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z y)))))) (- z 1) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (* y y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* -1/6 z) 1/2) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (* -1/3 z) (/ (+ (* (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) y) (* (* -1/3 z) z)) y) (/ (/ (+ (* (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) y) (* (* -1/3 z) z)) y) y)) |
| 5.0ms | y | @ | -inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z y)))))) (- z 1) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (* y y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* -1/6 z) 1/2) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (* -1/3 z) (/ (+ (* (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) y) (* (* -1/3 z) z)) y) (/ (/ (+ (* (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) y) (* (* -1/3 z) z)) y) y)) |
| 5.0ms | y | @ | inf | ((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z y)))))) (- z 1) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/ (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (* y y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* -1/6 z) 1/2) (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (* -1/3 z) (/ (+ (* (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) y) (* (* -1/3 z) z)) y) (/ (/ (+ (* (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) y) (* (* -1/3 z) z)) y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 821 | 5934 |
| 1 | 2649 | 5290 |
| 0 | 8547 | 4950 |
| 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) |
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(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
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1 |
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-1 |
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(/ -1 y) |
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(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
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(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) |
(- (* -1 (/ (- (/ (* (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 (/ (- (/ (* (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)) (exp (* -1 z))) |
(* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (- (* -1 (* z (- (* 1/2 z) 1))) 1) y)) |
(* -1 (/ (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1) y)) |
(* -1 (* y (+ (* -1 (- (* z (+ 1/2 (* -1/6 z))) 1)) (* -1 (/ (* z (+ 1/2 (* -1/2 z))) y))))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z))) |
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(* -1 (* y (- (* -1 (* z (- (* 1/2 z) 1))) 1))) |
(* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (* -1/2 z)) y))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* -1/6 z))) (* -1 (/ (+ 1/2 (+ (* -1/2 z) (* -1/3 (/ z y)))) y))))) |
(+ 1/2 (+ (* -1 (/ (+ (* -1 (+ 1/2 (* -1/2 z))) (* 1/3 (/ z y))) y)) (* -1/6 z))) |
(* -1 (* y (+ (* -1 (- (* z (+ 1/2 (* -1/6 z))) 1)) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* z (+ 1/2 (* -1/2 z)))) y))))) |
(- (+ (* -1 (/ (+ (* -1 (* z (+ 1/2 (* -1/2 z)))) (* 1/3 (/ (pow z 2) y))) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(- z 1) |
(- (* z (+ 1 (* -1 (* z (+ 1/2 (* 1/2 (/ 1 y))))))) 1) |
(- (* z (+ 1 (* z (- (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ 1/2 (* 1/2 (/ 1 y))))))) 1) |
(+ (* z (- (* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) (/ 1 y))) (/ 1 y)) |
(* -1 y) |
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))) |
(+ (* -1 y) (* z (+ 1/2 (+ (* 1/2 y) (* z (- (* -1/6 y) 1/2)))))) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))) |
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1) |
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1) |
1/2 |
y |
(+ y (* -1 (* y z))) |
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))) |
(+ 1/2 (* 1/2 y)) |
(+ 1/2 (+ (* 1/2 y) (* z (- (* -1/6 y) (+ 1/2 (* 1/3 (/ 1 y))))))) |
(/ (+ 1/2 (* 1/2 y)) y) |
(* -1/3 z) |
(+ (* -1 y) (* z (+ 1/2 (+ (* 1/2 y) (* z (- (* -1/6 y) (+ 1/2 (* 1/3 (/ 1 y))))))))) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(/ (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 z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* (pow z 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2)))) |
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2)))) |
(* -1 (exp (* y (+ (log y) (log (/ 1 z)))))) |
(- (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z) (exp (* y (+ (log y) (log (/ 1 z)))))) |
(- (* -1 (/ (* (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)))) |
(- (* -1 (/ (* (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 (/ (* (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))))) |
z |
(* z (- 1 (/ 1 z))) |
(* 1/2 (/ (* (pow z 2) (+ 1 (/ 1 y))) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z)))) |
(/ (* (pow z 2) (+ 1/2 (* 1/2 y))) (pow y 2)) |
(* (pow z 2) (- (+ (/ 1/2 y) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))) |
(* (pow z 2) (- (+ (/ 1/2 y) (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))) |
(* (pow z 2) (- (* -1/6 y) 1/2)) |
(* (pow z 2) (- (+ (* -1/6 y) (+ (* 1/2 (/ y z)) (* 1/2 (/ 1 z)))) 1/2)) |
(* (pow z 2) (- (+ (* -1 (/ y (pow z 2))) (+ (* -1/6 y) (+ (* 1/2 (/ y z)) (* 1/2 (/ 1 z))))) 1/2)) |
(* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) |
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2)))) |
(* -1/6 z) |
(* z (- (* 1/2 (/ 1 z)) 1/6)) |
(* (pow z 2) (+ 1/2 (* 1/2 y))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y)))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (+ (* 1/2 y) (/ y (pow z 2)))))) |
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) y) |
(* z (- (+ (* 1/2 (/ y z)) (+ (- (* -1/6 y) 1/2) (* 1/2 (/ 1 z)))) (* 1/3 (/ 1 y)))) |
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) (pow y 2)) |
(* z (- (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ (- (* -1/6 y) 1/2) y))) (* 1/3 (/ 1 (pow y 2))))) |
(/ (* (pow z 2) (- (* y (- (* -1/6 y) 1/2)) 1/3)) y) |
(* (pow z 2) (- (+ (* 1/2 (/ y z)) (+ (- (* -1/6 y) 1/2) (* 1/2 (/ 1 z)))) (* 1/3 (/ 1 y)))) |
(* (pow z 2) (- (+ (* -1 (/ y (pow z 2))) (+ (* 1/2 (/ y z)) (+ (- (* -1/6 y) 1/2) (* 1/2 (/ 1 z))))) (* 1/3 (/ 1 y)))) |
(/ (* (pow z 2) (- (* y (- (* -1/6 y) 1/2)) 1/3)) (pow y 2)) |
(* (pow z 2) (- (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ (- (* -1/6 y) 1/2) y))) (* 1/3 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ (- (* -1/6 y) 1/2) y))) (+ (* 1/3 (/ 1 (pow y 2))) (/ 1 (pow z 2))))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* -1 (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(- (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(- (* -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 (/ (- (/ (* (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)) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(* -1 (* z (- (/ 1 z) 1))) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ (+ 1 (/ 1 y)) y)))) |
(* -1 (/ (* (pow z 2) (- (* -1/2 y) 1/2)) (pow y 2))) |
(* (pow z 2) (- (* -1 (/ (- (* -1/2 y) 1/2) (pow y 2))) (/ 1 (* y z)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1/2 y) 1/2) (pow y 2))) (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)))) |
(* (pow z 2) (- (+ (* -1 (/ (- (* -1/2 y) 1/2) z)) (* -1/6 y)) 1/2)) |
(* (pow z 2) (- (+ (* -1 (/ (- (+ (* -1/2 y) (/ y z)) 1/2) z)) (* -1/6 y)) 1/2)) |
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z))))) |
(* -1 (* (pow z 2) (- (* -1/2 y) 1/2))) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ y z)))) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ (+ y (* -1 (/ y z))) z)))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) y)) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 y)) z)) (+ (+ 1/2 (* 1/6 y)) (* 1/3 (/ 1 y)))))) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (/ (+ 1/2 (* 1/6 y)) y))))) |
(* (pow z 2) (- (+ (* -1 (/ (- (* -1/2 y) 1/2) z)) (- (* -1/6 y) 1/2)) (* 1/3 (/ 1 y)))) |
(* (pow z 2) (- (+ (* -1 (/ (- (+ (* -1/2 y) (/ y z)) 1/2) z)) (- (* -1/6 y) 1/2)) (* 1/3 (/ 1 y)))) |
(* (pow z 2) (- (+ (* -1 (/ (- (/ 1 z) (+ 1/2 (* 1/2 (/ 1 y)))) z)) (/ (- (* -1/6 y) 1/2) y)) (* 1/3 (/ 1 (pow y 2))))) |
| Outputs |
|---|
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
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(- (* -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)))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) z) (*.f64 y y))) (neg.f64 z)) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))))) |
(- (* -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)) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (-.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) z) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 y y))) (neg.f64 z)) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))))) |
(* -1 (* z (- (/ 1 z) 1))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (neg.f64 z)) |
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ (+ 1 (/ 1 y)) y)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) z)) (*.f64 z z)) |
(* -1 (/ (* (pow z 2) (- (* -1/2 y) 1/2)) (pow y 2))) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) z) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) y)) |
(* (pow z 2) (- (* -1 (/ (- (* -1/2 y) 1/2) (pow y 2))) (/ 1 (* y z)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) y) (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 z y))) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (- (* -1/2 y) 1/2) (pow y 2))) (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) z)) (*.f64 z z)) |
(* (pow z 2) (- (+ (* -1 (/ (- (* -1/2 y) 1/2) z)) (* -1/6 y)) 1/2)) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) z)) (*.f64 z z)) |
(* (pow z 2) (- (+ (* -1 (/ (- (+ (* -1/2 y) (/ y z)) 1/2) z)) (* -1/6 y)) 1/2)) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 y z)) #s(literal 1/2 binary64)) z)) (*.f64 z z)) |
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 z)) |
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (*.f64 z z)) |
(* -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 (* (pow z 2) (- (* -1/2 y) 1/2))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ y z)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 y z)) #s(literal -1 binary64) #s(literal 1/2 binary64)) z) z) |
(* (pow z 2) (+ (* -1 (- (* -1/2 y) 1/2)) (* -1 (/ (+ y (* -1 (/ y z))) z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) (*.f64 z z)) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) y)) |
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 y)) z)) (+ (+ 1/2 (* 1/6 y)) (* 1/3 (/ 1 y)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z)) (neg.f64 z)) |
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) z) (*.f64 (neg.f64 y) y)) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (/ (+ 1/2 (* 1/6 y)) y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)) (neg.f64 z)) |
(* (pow z 2) (- (+ (* -1 (/ (- (* -1/2 y) 1/2) z)) (- (* -1/6 y) 1/2)) (* 1/3 (/ 1 y)))) |
(*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (+ (* -1 (/ (- (+ (* -1/2 y) (/ y z)) 1/2) z)) (- (* -1/6 y) 1/2)) (* 1/3 (/ 1 y)))) |
(*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 y z)) #s(literal 1/2 binary64)) z)) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (+ (* -1 (/ (- (/ 1 z) (+ 1/2 (* 1/2 (/ 1 y)))) z)) (/ (- (* -1/6 y) 1/2) y)) (* 1/3 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 985 |
| 0 | 133 | 985 |
| 1 | 652 | 946 |
| 2 | 6107 | 946 |
| 0 | 9040 | 909 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
#s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) |
(-.f64 z #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))) |
(/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (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)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) |
#s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y) |
(*.f64 #s(literal -1/3 binary64) z) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (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 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) (*.f64 x x)))) |
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(/.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) (neg.f64 y)) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z))) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) z) #s(literal 2 binary64))) (*.f64 (*.f64 y y) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal 1/3 binary64) (*.f64 z z))))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y) #s(literal 3 binary64))) (*.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z))) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) (neg.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) (*.f64 y y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z))) (neg.f64 y))) |
(neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) (neg.f64 y)) y)) |
(neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y))) #s(literal -1 binary64))) |
Compiled 46 688 to 4 004 computations (91.4% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 653 | 7 | 660 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 657 | 20 | 677 |
| Status | Accuracy | Program |
|---|---|---|
| 67.3% | (fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) y) x) | |
| ✓ | 62.8% | (fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
| ✓ | 83.2% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| ✓ | 67.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| 67.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) z #s(literal -1/2 binary64)))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| 67.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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)) | |
| 66.4% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #s(approx (+ (* -1/6 z) 1/2) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| 63.0% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) z) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) | |
| 49.6% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) (neg.f64 y)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) | |
| ✓ | 62.8% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| ✓ | 82.1% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
| 66.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) y) y)))) | |
| 66.5% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) y) y)))) | |
| ✓ | 54.8% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) |
| ✓ | 40.7% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
| 14.3% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) | |
| ✓ | 36.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
| 29.5% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) | |
| ✓ | 37.7% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| 36.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (/.f64 #s(literal -1 binary64) y))) |
Compiled 2 063 to 784 computations (62% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z 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 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #s(approx (+ (* -1/6 z) 1/2) #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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) y) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) y) y)))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (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) (fma.f64 #s(approx (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) (neg.f64 y)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) z) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) z #s(literal 1 binary64)) z #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (/.f64 #s(literal -1 binary64) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x) |
(+.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:
| 50.0ms | x |
| 26.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 9.0ms | y |
| 9.0ms | z |
| 9.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 1 | x |
| 99.8% | 3 | y |
| 88.5% | 2 | z |
| 88.4% | 3 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 92.2% | 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)) |
(+.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)) |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z 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 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #s(approx (+ (* -1/6 z) 1/2) #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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) y) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) y) y)))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (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) (fma.f64 #s(approx (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) (neg.f64 y)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/6 z) 1/2) z) -1) y) (* (+ (* -1/2 z) 1/2) z)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) z) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) z #s(literal 1 binary64)) z #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) y) 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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) y) y)))) |
3 calls:
| 20.0ms | z |
| 8.0ms | y |
| 7.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 2 | z |
| 85.6% | 3 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 89.8% | 3 | y |
Compiled 13 to 15 computations (-15.4% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z 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 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #s(approx (+ (* -1/6 z) 1/2) #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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) y) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (+.f64 y (*.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 y y))))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) y) y)))) |
2 calls:
| 34.0ms | z |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 2 | z |
| 88.9% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z 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 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #s(approx (+ (* -1/6 z) 1/2) #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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
2 calls:
| 4.0ms | y |
| 4.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 88.1% | 3 | y |
Compiled 14 to 13 computations (7.1% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z 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 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #s(approx (+ (* -1/6 z) 1/2) #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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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)) |
1 calls:
| 26.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 3 | 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)) |
(+.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)) |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z 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 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #s(approx (+ (* -1/6 z) 1/2) #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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z 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 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
2 calls:
| 3.0ms | y |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 2 | z |
| 86.4% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
4 calls:
| 3.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 82.1% | 1 | x |
| 82.1% | 1 | y |
| 82.1% | 1 | z |
Compiled 14 to 18 computations (-28.6% 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:
| 2.0ms | (+.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 | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.7% | 1 | y |
| 37.7% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 37.7% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 37.7% | 1 | x |
| 37.7% | 1 | z |
Compiled 27 to 28 computations (-3.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 1.0736256100216667e-16 | 8.205786735356654e-12 |
| 18.0ms | -67088.19511918309 | -993.0372673438236 |
| 44.0ms | 256× | 0 | valid |
| 6.0ms | 79× | 0 | invalid |
Compiled 512 to 432 computations (15.6% saved)
ival-add: 22.0ms (54.1% of total)ival-div: 9.0ms (22.1% of total)ival-log: 5.0ms (12.3% of total)ival-exp: 3.0ms (7.4% of total)ival-mult: 2.0ms (4.9% 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 | 2.983546790816959e+145 | 6.129198038627936e+146 |
| 1.0ms | -67088.19511918309 | -993.0372673438236 |
| 25.0ms | 71× | 1 | valid |
| 4.0ms | 41× | 0 | valid |
| 1.0ms | 17× | 0 | invalid |
Compiled 926 to 660 computations (28.7% saved)
ival-log: 10.0ms (39.3% of total)ival-exp: 7.0ms (27.5% of total)ival-add: 4.0ms (15.7% of total)ival-div: 3.0ms (11.8% of total)adjust: 1.0ms (3.9% of total)ival-mult: 1.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 2.983546790816959e+145 | 6.129198038627936e+146 |
| 1.0ms | -67088.19511918309 | -993.0372673438236 |
| 2.0ms | 9× | 1 | valid |
| 1.0ms | 7× | 0 | valid |
| 0.0ms | 6× | 0 | invalid |
Compiled 954 to 674 computations (29.4% saved)
ival-log: 1.0ms (36.2% of total)ival-add: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.983546790816959e+145 | 6.129198038627936e+146 |
| 1.0ms | -67088.19511918309 | -993.0372673438236 |
Compiled 856 to 646 computations (24.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.983546790816959e+145 | 6.129198038627936e+146 |
| 1.0ms | -67088.19511918309 | -993.0372673438236 |
Compiled 926 to 688 computations (25.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | -7.470752814132678e+192 | -5.087947108433831e+179 |
| 23.0ms | 69× | 1 | valid |
| 7.0ms | 91× | 0 | valid |
| 5.0ms | 69× | 0 | invalid |
Compiled 596 to 456 computations (23.5% saved)
ival-log: 11.0ms (39.3% of total)ival-add: 6.0ms (21.4% of total)ival-div: 4.0ms (14.3% of total)ival-mult: 4.0ms (14.3% of total)ival-exp: 2.0ms (7.1% of total)adjust: 1.0ms (3.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 478 |
| 1 | 173 | 447 |
| 2 | 288 | 447 |
| 3 | 665 | 445 |
| 4 | 1709 | 439 |
| 5 | 3142 | 439 |
| 6 | 6085 | 439 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal -1000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 4951760157141521/618970019642690137449562112 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 -1000 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) y) y)))) (if (<=.f64 y #s(literal 579999999999999965943798544433584779569376921672441784456070143195901787443599166487325464718286313155462156801219545143961790554324633262789492736 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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) y) y)))))) |
(if (<=.f64 y #s(literal -1000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (if (<=.f64 y #s(literal 600000000000000004542915485767811205920745112196416350456549229386784444628533811389731999609960295837697160115815546304606809537021547542652911616 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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) y) y)))))) |
(if (<=.f64 y #s(literal -1000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (if (<=.f64 y #s(literal 579999999999999965943798544433584779569376921672441784456070143195901787443599166487325464718286313155462156801219545143961790554324633262789492736 binary64)) (+.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))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)))) |
(if (<=.f64 y #s(literal -1000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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)) (if (<=.f64 y #s(literal 579999999999999965943798544433584779569376921672441784456070143195901787443599166487325464718286313155462156801219545143961790554324633262789492736 binary64)) (+.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))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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)))) |
(if (<=.f64 z #s(literal -520000000000000041664345735241495959158360832625487628132469915218672441329611213276570013354929781052343876626131216126872874914636601090156530871532561582961727745894804774453248 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z 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 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -1000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 4951760157141521/618970019642690137449562112 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 -1000 binary64)) (not (<=.f64 y #s(literal 4951760157141521/618970019642690137449562112 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 -1000 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) y) y)))) (if (<=.f64 y #s(literal 579999999999999965943798544433584779569376921672441784456070143195901787443599166487325464718286313155462156801219545143961790554324633262789492736 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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) y) y)))))) |
(if (or (<=.f64 y #s(literal -1000 binary64)) (not (<=.f64 y #s(literal 579999999999999965943798544433584779569376921672441784456070143195901787443599166487325464718286313155462156801219545143961790554324633262789492736 binary64)))) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) y) y)))) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(if (<=.f64 y #s(literal -1000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (if (<=.f64 y #s(literal 600000000000000004542915485767811205920745112196416350456549229386784444628533811389731999609960295837697160115815546304606809537021547542652911616 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) (+ (/ z y) z)) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 #s(approx (+ y (* z (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)))) (fma.f64 (neg.f64 y) z y)) y) y)))))) |
(if (<=.f64 y #s(literal -1000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (if (<=.f64 y #s(literal 579999999999999965943798544433584779569376921672441784456070143195901787443599166487325464718286313155462156801219545143961790554324633262789492736 binary64)) (+.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))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)))) |
(if (or (<=.f64 y #s(literal -1000 binary64)) (not (<=.f64 y #s(literal 579999999999999965943798544433584779569376921672441784456070143195901787443599166487325464718286313155462156801219545143961790554324633262789492736 binary64)))) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(if (<=.f64 y #s(literal -1000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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)) (if (<=.f64 y #s(literal 579999999999999965943798544433584779569376921672441784456070143195901787443599166487325464718286313155462156801219545143961790554324633262789492736 binary64)) (+.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))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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)))) |
(if (or (<=.f64 y #s(literal -1000 binary64)) (not (<=.f64 y #s(literal 579999999999999965943798544433584779569376921672441784456070143195901787443599166487325464718286313155462156801219545143961790554324633262789492736 binary64)))) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) #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))) |
(if (<=.f64 z #s(literal -520000000000000041664345735241495959158360832625487628132469915218672441329611213276570013354929781052343876626131216126872874914636601090156530871532561582961727745894804774453248 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ 1/2 y) (+ (/ z 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 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 y #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 529 |
| 0 | 93 | 529 |
| 1 | 439 | 492 |
| 2 | 4021 | 492 |
| 0 | 8140 | 473 |
| 0 | 637 | 4772 |
| 1 | 2035 | 4152 |
| 2 | 6878 | 4043 |
| 0 | 8183 | 3809 |
| 0 | 603 | 3912 |
| 1 | 1814 | 3296 |
| 2 | 6042 | 2954 |
| 0 | 8238 | 2801 |
| 0 | 821 | 5934 |
| 1 | 2649 | 5290 |
| 0 | 8547 | 4950 |
| 0 | 86 | 985 |
| 0 | 133 | 985 |
| 1 | 652 | 946 |
| 2 | 6107 | 946 |
| 0 | 9040 | 909 |
| 0 | 606 | 3776 |
| 1 | 1840 | 3226 |
| 2 | 6038 | 2900 |
| 0 | 8181 | 2748 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 633 to 277 computations (56.2% saved)
Compiled 1 040 to 286 computations (72.5% saved)
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