
Time bar (total: 17.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 3.1% | 3.1% | 96.7% | 0.2% | 0% | 0% | 0% | 8 |
| 4.7% | 4.7% | 95.1% | 0.2% | 0% | 0% | 0% | 9 |
| 4.7% | 4.7% | 95.1% | 0.2% | 0% | 0% | 0% | 10 |
| 16.4% | 16.4% | 83.4% | 0.2% | 0% | 0% | 0% | 11 |
| 18.8% | 17.5% | 76% | 0.2% | 0% | 6.2% | 0% | 12 |
Compiled 15 to 14 computations (6.7% saved)
| 2.7s | 4 579× | 1 | valid |
| 1.2s | 1 256× | 5 | exit |
| 1.2s | 683× | 1 | invalid |
| 639.0ms | 3 677× | 0 | valid |
| 250.0ms | 393× | 4 | exit |
| 175.0ms | 1 915× | 0 | invalid |
ival-exp: 1.8s (34.3% of total)ival-log: 1.3s (25.7% of total)adjust: 590.0ms (11.3% of total)ival-sub: 542.0ms (10.4% of total)ival-div: 375.0ms (7.2% of total)ival-add: 359.0ms (6.9% of total)ival-mult: 188.0ms (3.6% of total)ival-true: 11.0ms (0.2% of total)exact: 9.0ms (0.2% of total)ival-assert: 6.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 148 | 49 | (-1.705327719252685e+267 -9.75870095715681e-171 -2.785577719371693e-294 -7.527723736474353e+107) | 0 | - | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 63 | 3 | (1.052229816477053e+189 -2477670472.1292233 -1.2153248865160542e-231 8.380379235686836e+137) | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 22 | 0 | - | 3 | (1.1618259488888687e-22 -4.741407484063867e-245 -9.675866937925087e-73 2.145450030467671e-171) | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y (exp.f64 z)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 z) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | sensitivity | 194 | 0 |
+.f64 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | cancellation | 28 | 0 |
/.f64 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | u/n | 4 | 0 |
| ↳ | (exp.f64 z) | underflow | 83 | |
| ↳ | (*.f64 y (exp.f64 z)) | underflow | 83 | |
| ↳ | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | underflow | 49 | |
log.f64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | oflow-rescue | 3 | 0 |
| ↳ | (exp.f64 z) | overflow | 3 | |
| ↳ | (*.f64 y (exp.f64 z)) | overflow | 3 | |
| ↳ | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | overflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 82 | 16 |
| - | 123 | 35 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 82 | 0 | 16 |
| - | 123 | 0 | 35 |
| number | freq |
|---|---|
| 0 | 51 |
| 1 | 181 |
| 2 | 24 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 149.0ms | 314× | 1 | valid |
| 85.0ms | 112× | 2 | valid |
| 30.0ms | 86× | 0 | valid |
Compiled 127 to 40 computations (68.5% saved)
ival-log: 88.0ms (42.2% of total)ival-exp: 35.0ms (16.8% of total)ival-sub: 34.0ms (16.3% of total)ival-mult: 23.0ms (11% of total)adjust: 14.0ms (6.7% of total)ival-div: 8.0ms (3.8% of total)ival-add: 5.0ms (2.4% of total)ival-true: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 194 |
| 1 | 147 | 186 |
| 2 | 389 | 184 |
| 3 | 980 | 184 |
| 4 | 2702 | 184 |
| 5 | 4575 | 184 |
| 6 | 5259 | 184 |
| 7 | 5516 | 184 |
| 8 | 5725 | 184 |
| 9 | 5858 | 184 |
| 10 | 5946 | 184 |
| 11 | 6393 | 184 |
| 12 | 6537 | 184 |
| 13 | 6549 | 184 |
| 14 | 6559 | 184 |
| 15 | 6559 | 184 |
| 16 | 6559 | 184 |
| 17 | 6559 | 184 |
| 0 | 12 | 13 |
| 0 | 19 | 13 |
| 1 | 29 | 13 |
| 2 | 54 | 13 |
| 3 | 93 | 13 |
| 4 | 188 | 13 |
| 5 | 361 | 13 |
| 6 | 533 | 13 |
| 7 | 603 | 13 |
| 8 | 675 | 13 |
| 9 | 730 | 13 |
| 10 | 856 | 13 |
| 11 | 948 | 13 |
| 12 | 955 | 13 |
| 13 | 956 | 13 |
| 0 | 956 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
Compiled 13 to 12 computations (7.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.4% | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) | |
| cost-diff | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | |
| cost-diff | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 55 |
| 0 | 19 | 55 |
| 1 | 29 | 55 |
| 2 | 54 | 55 |
| 3 | 93 | 55 |
| 4 | 188 | 55 |
| 5 | 361 | 55 |
| 6 | 533 | 55 |
| 7 | 603 | 55 |
| 8 | 675 | 55 |
| 9 | 730 | 55 |
| 10 | 856 | 55 |
| 11 | 948 | 55 |
| 12 | 955 | 55 |
| 13 | 956 | 55 |
| 0 | 956 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
x |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 y (exp.f64 z)) |
(exp.f64 z) |
z |
t |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 y (exp.f64 z)) |
(*.f64 (exp.f64 z) y) |
(exp.f64 z) |
z |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 y (exp.f64 z)) | |
| accuracy | 4.554334056018039 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | |
| accuracy | 15.023408786690098 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | |
| accuracy | 33.1570001226818 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 221.0ms | 157× | 1 | valid |
| 61.0ms | 56× | 2 | valid |
| 4.0ms | 43× | 0 | valid |
Compiled 57 to 14 computations (75.4% saved)
ival-sub: 172.0ms (64% of total)ival-log: 62.0ms (23.1% of total)ival-exp: 18.0ms (6.7% of total)adjust: 7.0ms (2.6% of total)ival-div: 4.0ms (1.5% of total)ival-mult: 3.0ms (1.1% of total)ival-add: 3.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
(*.f64 y (exp.f64 z)) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (exp z)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
y |
(+ y (* y z)) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(- (+ 1 (* y (exp z))) y) |
(log (- (+ 1 (* y (exp z))) y)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 119.0ms | x | @ | 0 | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 41.0ms | z | @ | -inf | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 36.0ms | z | @ | inf | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 35.0ms | t | @ | inf | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 14.0ms | t | @ | 0 | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 1607 |
| 1 | 1012 | 1507 |
| 2 | 3189 | 1458 |
| 0 | 8270 | 1214 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (exp z)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
y |
(+ y (* y z)) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(- (+ 1 (* y (exp z))) y) |
(log (- (+ 1 (* y (exp z))) y)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* y (- (exp z) 1)) |
(*.f64 (expm1.f64 z) y) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 z) #s(literal -1/2 binary64))) y (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) y) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64)) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal -1/3 binary64))) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x) |
(/ (* y (- (exp z) 1)) t) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64)) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) t) #s(literal -1/4 binary64))) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y) |
(* y (exp z)) |
(*.f64 (exp.f64 z) y) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) (log.f64 y))) (log.f64 (expm1.f64 z))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 (-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t)) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)) t) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)) t) x) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(*.f64 (expm1.f64 z) y) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z)))) y)) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z)))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) y) (neg.f64 (expm1.f64 z))) x) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) y) (neg.f64 (expm1.f64 z))) x)) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (expm1.f64 z))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 t y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) y)) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t)) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) t)) y)) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) t)) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal -1/6 binary64))) z) (/.f64 y t)) z x) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) #s(literal 1/24 binary64))) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
y |
(+ y (* y z)) |
(fma.f64 z y y) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z y) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 0 | 19 | 45 |
| 1 | 73 | 45 |
| 2 | 593 | 45 |
| 3 | 7250 | 45 |
| 0 | 9030 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
(*.f64 y (exp.f64 z)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (-.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) |
(pow.f64 (pow.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 9 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (*.f64 y y)) (+.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (*.f64 y y)) (-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (neg.f64 y))) |
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(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (-.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (-.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)))) (-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) x) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal -1 binary64) x) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 x (/.f64 x (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(fma.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) |
(-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) x) |
(+.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) |
(*.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 1 binary64)) |
(*.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) |
(pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64)) t) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (neg.f64 t)) |
(/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) |
(neg.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log1p.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))) t)) |
(-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)) |
(-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (exp.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (exp.f64 z) y) |
(*.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 z))) |
(*.f64 y (exp.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)) |
Compiled 12 342 to 1 644 computations (86.7% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 335 | 14 | 349 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 336 | 14 | 350 |
| Status | Accuracy | Program |
|---|---|---|
| 84.2% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) | |
| 53.4% | (-.f64 x (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) (*.f64 (log1p.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))) (log1p.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))))) (+.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))))) t)) | |
| 62.4% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) | |
| 62.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) | |
| ▶ | 70.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| 38.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| 71.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| 59.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) | |
| 84.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| 74.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| ▶ | 59.2% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) |
| ▶ | 86.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
| ▶ | 72.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| ▶ | 28.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 670 to 470 computations (29.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (expm1.f64 z) y) | |
| cost-diff | 0 | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| cost-diff | 0 | (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) | |
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) | |
| cost-diff | 1 | (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (/.f64 y t) x) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) | |
| cost-diff | 0 | (/.f64 (expm1.f64 z) t) | |
| cost-diff | 0 | (*.f64 (/.f64 (expm1.f64 z) t) y) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 327 |
| 0 | 66 | 327 |
| 1 | 120 | 327 |
| 2 | 220 | 295 |
| 3 | 424 | 295 |
| 4 | 1001 | 291 |
| 5 | 2948 | 291 |
| 6 | 6002 | 291 |
| 0 | 8696 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 z) |
z |
t |
y |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(neg.f64 z) |
z |
(/.f64 y t) |
y |
t |
x |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) |
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 y (*.f64 y y)) t) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
t |
#s(literal 1/2 binary64) |
z |
(/.f64 y t) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
#s(literal 1 binary64) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
(neg.f64 t) |
t |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 z) |
z |
t |
y |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 y t) (neg.f64 z) x)) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(neg.f64 z) |
z |
(/.f64 y t) |
y |
t |
x |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 (/.f64 y t) z)))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 (/.f64 y t) z))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 (/.f64 y t) z)) |
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (/.f64 y t)) |
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) y) |
(/.f64 (-.f64 y (*.f64 y y)) t) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t) |
(-.f64 y (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
y |
(*.f64 y y) |
t |
#s(literal 1/2 binary64) |
z |
(/.f64 y t) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
#s(literal 1 binary64) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
(neg.f64 t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 (expm1.f64 z) y) | |
| accuracy | 0.7418160714842703 | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| accuracy | 4.554334056018039 | (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) | |
| accuracy | 44.6621127815586 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| accuracy | 4.554334056018039 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) | |
| accuracy | 14.1932102998127 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 33.1570001226818 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) | |
| accuracy | 3.5002408437467794 | (/.f64 (-.f64 y (*.f64 y y)) t) | |
| accuracy | 4.123414845701209 | (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) | |
| accuracy | 8.651607876855886 | (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) | |
| accuracy | 27.11982623507352 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)) | |
| accuracy | 0.0 | (/.f64 y t) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 4.098517777098127 | (fma.f64 (neg.f64 z) (/.f64 y t) x) | |
| accuracy | 15.035148318916145 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) | |
| accuracy | 0.00390625 | (expm1.f64 z) | |
| accuracy | 2.668748094527724 | (*.f64 (/.f64 (expm1.f64 z) t) y) | |
| accuracy | 14.84848434978431 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
| 137.0ms | 157× | 1 | valid |
| 71.0ms | 43× | 0 | valid |
| 68.0ms | 56× | 2 | valid |
Compiled 266 to 35 computations (86.8% saved)
ival-exp: 78.0ms (33.2% of total)ival-log: 35.0ms (14.9% of total)ival-log1p: 30.0ms (12.8% of total)ival-mult: 21.0ms (8.9% of total)ival-sub: 18.0ms (7.7% of total)ival-div: 16.0ms (6.8% of total)adjust: 15.0ms (6.4% of total)ival-expm1: 12.0ms (5.1% of total)ival-add: 8.0ms (3.4% of total)ival-neg: 2.0ms (0.9% 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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(neg.f64 z) |
(/.f64 y t) |
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) |
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(/.f64 (-.f64 y (*.f64 y y)) t) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(/ y t) |
(* y (+ (* 1/2 (/ z t)) (/ 1 t))) |
(* y (+ (* -1/2 (/ (* y z) t)) (+ (* 1/2 (/ z t)) (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(* -1 (/ (* y (- (exp z) 1)) t)) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t)))))))) |
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t)))) |
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (* z (+ (* 1/2 (/ z t)) (/ 1 t))))) |
(* y (+ (* -1 (/ y t)) (/ 1 t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(* -1/2 (/ (* (pow y 2) z) t)) |
(* (pow y 2) (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ z (* t y))) (/ 1 (* t y))))) |
(* -1/2 (/ (pow y 2) t)) |
(* (pow y 2) (- (* 1/2 (/ 1 (* t y))) (* 1/2 (/ 1 t)))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) |
(- (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(* -1/2 (/ (* (pow y 2) (pow z 2)) t)) |
(* (pow y 2) (+ (* -1/2 (/ (pow z 2) t)) (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y))) |
(* -1 (/ (pow y 2) t)) |
(* (pow y 2) (- (/ 1 (* t y)) (/ 1 t))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ z t)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 (/ z t)) (/ 1 t)) y)) (* -1/2 (/ z t)))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) |
(- (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1))))) |
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))) |
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(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(/ z t) |
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(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
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z |
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(log (- (+ 1 (* y (exp z))) y)) |
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(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
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(* 1/2 (/ (* (pow z 2) (- y (pow y 2))) t)) |
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(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (+ y (* 1/2 (* z (- y (pow y 2))))) t) |
(* 1/2 (/ (- y (pow y 2)) t)) |
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t) |
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(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | t | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t)) |
| 62.0ms | t | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t)) |
| 47.0ms | z | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t)) |
| 30.0ms | z | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t)) |
| 26.0ms | t | @ | 0 | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 599 | 2917 |
| 1 | 1972 | 2769 |
| 2 | 6009 | 2662 |
| 0 | 8825 | 2255 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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x |
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1 |
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(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)))))))) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
z |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(* z (+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (exp z) 1) t) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(* 1/2 (/ (* z (- y (pow y 2))) t)) |
(* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(log (+ 1 (* y (- (exp z) 1)))) |
(- (exp z) 1) |
(* 1/2 (/ (* (pow z 2) (- y (pow y 2))) t)) |
(* (pow z 2) (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (+ y (* 1/2 (* z (- y (pow y 2))))) t) |
(* 1/2 (/ (- y (pow y 2)) t)) |
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t) |
(/ (- y (pow y 2)) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(* -1 (/ (+ (* -1 y) (* -1/2 (* z (- y (pow y 2))))) t)) |
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t)) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 (/ (* y z) t)) |
(/.f64 (*.f64 (neg.f64 z) y) t) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) (neg.f64 t))) y x) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal -1/3 binary64))) y (/.f64 (expm1.f64 z) (neg.f64 t))) y x) |
(/ (* y (- (exp z) 1)) t) |
(/.f64 (*.f64 (expm1.f64 z) y) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64)) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) t) #s(literal -1/4 binary64))) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y) |
(/ y t) |
(/.f64 y t) |
(* y (+ (* 1/2 (/ z t)) (/ 1 t))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t)) |
(* y (+ (* -1/2 (/ (* y z) t)) (+ (* 1/2 (/ z t)) (/ 1 t)))) |
(*.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 y t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) |
(* y (- (exp z) 1)) |
(*.f64 (expm1.f64 z) y) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 z) #s(literal -1/2 binary64))) y (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* -1 (/ (* y (- (exp z) 1)) t)) |
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) (neg.f64 t))) y) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal -1/3 binary64))) y (/.f64 (expm1.f64 z) (neg.f64 t))) y) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) t) (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal -1/3 binary64))) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64))) y (/.f64 (expm1.f64 z) (neg.f64 t))) y) |
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 (*.f64 z y) t)) |
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (* z (+ (* 1/2 (/ z t)) (/ 1 t))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y) |
(* y (+ (* -1 (/ y t)) (/ 1 t))) |
(/.f64 (-.f64 y (*.f64 y y)) t) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 (-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)) t) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y) |
(* -1/2 (/ (* (pow y 2) z) t)) |
(*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ z (* t y))) (/ 1 (* t y))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 z t) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) t)) y) y) |
(* -1/2 (/ (pow y 2) t)) |
(*.f64 (*.f64 y (/.f64 y t)) #s(literal -1/2 binary64)) |
(* (pow y 2) (- (* 1/2 (/ 1 (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 y y)) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) (neg.f64 y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) (neg.f64 y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y) |
(* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) |
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (neg.f64 t)) |
(- (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(* -1/2 (/ (* (pow y 2) (pow z 2)) t)) |
(*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1/2 (/ (pow z 2) t)) (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y) |
(* -1 (/ (pow y 2) t)) |
(*.f64 (neg.f64 y) (/.f64 y t)) |
(* (pow y 2) (- (/ 1 (* t y)) (/ 1 t))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) t) (/.f64 #s(literal 1 binary64) t)) (*.f64 y y)) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) t)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t))) y)) y)) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
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(* -1 (* y (+ 1 (* -1 (exp z))))) |
(*.f64 (expm1.f64 z) y) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) |
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(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y))) |
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(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y)))) |
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(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y)))) |
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(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y)) (* -1/2 (/ (pow z 2) t)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) (/.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) y) (*.f64 (*.f64 z (/.f64 z t)) #s(literal -1/2 binary64))) y) y) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64) (neg.f64 y)) t) z x) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z x) |
(/ (* y z) t) |
(/.f64 (*.f64 z y) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) #s(literal 1/24 binary64))) z (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) z (/.f64 y t)) z) |
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 (*.f64 z y) t)) |
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y t) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) y (*.f64 (/.f64 (*.f64 z y) t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)))) z (/.f64 y t)) z) |
(/ z t) |
(/.f64 z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(*.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) z) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)) |
(fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t) z (/.f64 y t)) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z y) z) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) z (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z y) z) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64) (neg.f64 y)) t) z) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) (*.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) #s(literal -1/6 binary64))) z)) z (/.f64 (neg.f64 y) t)) z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
z |
(* z (+ 1 (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(* z (+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t) z (/.f64 y t)) z) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 y t)) z) |
(* 1/2 (/ (* z (- y (pow y 2))) t)) |
(/.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z) t) |
(* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64) (/.f64 (/.f64 y t) z)) z) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(- (exp z) 1) |
(expm1.f64 z) |
(* 1/2 (/ (* (pow z 2) (- y (pow y 2))) t)) |
(*.f64 (/.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z) t) z) |
(* (pow z 2) (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64) (/.f64 (/.f64 y t) z)) z) z) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 y t)) z) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64) (/.f64 (/.f64 y t) z)) z) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
(/ (+ y (* 1/2 (* z (- y (pow y 2))))) t) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) t) |
(* 1/2 (/ (- y (pow y 2)) t)) |
(/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t) |
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) t) z) |
(/ (- y (pow y 2)) t) |
(/.f64 (-.f64 y (*.f64 y y)) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 (/ (+ (* -1 y) (* -1/2 (* z (- y (pow y 2))))) t)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64) (neg.f64 y))) t) |
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t)) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64) (neg.f64 y))) t) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 287 |
| 0 | 66 | 287 |
| 1 | 281 | 287 |
| 2 | 2309 | 287 |
| 0 | 8638 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(neg.f64 z) |
(/.f64 y t) |
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) |
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(/.f64 (-.f64 y (*.f64 y y)) t) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (*.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))) (-.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (*.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (-.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(+.f64 (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) x) |
(+.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 (expm1.f64 z)))) t) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 z)) y)) t) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 z) y))) t) |
(/.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (expm1.f64 z) y)))) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 t (expm1.f64 z)))) |
(/.f64 (*.f64 (expm1.f64 z) y) t) |
(/.f64 y (/.f64 t (expm1.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y))) |
(*.f64 (pow.f64 (/.f64 t (expm1.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 t (expm1.f64 (*.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (expm1.f64 z)) |
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (expm1.f64 z) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 z) t)) |
(pow.f64 (/.f64 (/.f64 t (expm1.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (expm1.f64 z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) #s(literal -1 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 t #s(literal -1 binary64)))) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (pow.f64 t #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) #s(literal 1 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 z)))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t t))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 t)) (*.f64 (neg.f64 t) #s(literal -1 binary64))) (*.f64 t t)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) (/.f64 t #s(literal 1 binary64))) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) (/.f64 t #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) t) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) t)) |
(/.f64 (-.f64 (*.f64 (exp.f64 z) (neg.f64 t)) (neg.f64 t)) (*.f64 t (neg.f64 t))) |
(/.f64 (-.f64 (*.f64 (exp.f64 z) (/.f64 t #s(literal 1 binary64))) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 t #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (*.f64 (/.f64 t (exp.f64 z)) #s(literal -1 binary64))) (*.f64 (/.f64 t (exp.f64 z)) (neg.f64 t))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 t #s(literal 1 binary64))) (*.f64 (/.f64 t (exp.f64 z)) #s(literal 1 binary64))) (*.f64 (/.f64 t (exp.f64 z)) (/.f64 t #s(literal 1 binary64)))) |
(/.f64 (-.f64 t (*.f64 (/.f64 t (exp.f64 z)) #s(literal 1 binary64))) (*.f64 (/.f64 t (exp.f64 z)) t)) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 z)) t (*.f64 (neg.f64 t) #s(literal -1 binary64))) (*.f64 (neg.f64 t) t)) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 z)) (/.f64 t #s(literal -1 binary64)) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) (/.f64 t #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 z)) (neg.f64 t) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 t t)) |
(/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)) |
(/.f64 (fma.f64 (exp.f64 z) (/.f64 t #s(literal -1 binary64)) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 t #s(literal -1 binary64)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z) #s(literal 2 binary64)) (pow.f64 (/.f64 y t) #s(literal 2 binary64))) z) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) z) y) t)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 y t) #s(literal 3 binary64))) z) (fma.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 y t) (/.f64 (-.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) z)) t)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z) #s(literal 2 binary64)) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) z) y) t)) |
(/.f64 (*.f64 z (fma.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 y t) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 y t) (/.f64 (-.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) z)) t)))) |
(fma.f64 (*.f64 z y) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z) z)) |
(fma.f64 (*.f64 z y) (pow.f64 t #s(literal -1 binary64)) (*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z) z (*.f64 (/.f64 y t) z)) |
(fma.f64 (/.f64 y t) z (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z) z)) |
(fma.f64 (/.f64 y t) z (*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z))) |
(fma.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z) (*.f64 (/.f64 y t) z)) |
(fma.f64 z (/.f64 y t) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z) z)) |
(fma.f64 z (/.f64 y t) (*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z) z) (*.f64 (/.f64 y t) z)) |
(+.f64 (*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z)) (*.f64 (/.f64 y t) z)) |
(+.f64 (*.f64 (/.f64 y t) z) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z) z)) |
(+.f64 (*.f64 (/.f64 y t) z) (*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) z))) |
(*.f64 (pow.f64 (/.f64 t (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 t (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)) |
(pow.f64 (/.f64 (/.f64 t (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) (pow.f64 t #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 t #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y t)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y t) (*.f64 y (/.f64 y t))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y t)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y t)) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (*.f64 y (/.f64 y t))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y)))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y y y) t))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) t))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) t) (*.f64 (neg.f64 t) (*.f64 y y)))) (neg.f64 (*.f64 (neg.f64 t) t))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y t) (*.f64 t (*.f64 y y)))) (neg.f64 (*.f64 t t))) |
(/.f64 (neg.f64 (-.f64 t (*.f64 (/.f64 t y) (*.f64 y y)))) (neg.f64 (*.f64 (/.f64 t y) t))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 t)) (*.f64 t (*.f64 (neg.f64 y) y))) (*.f64 t (neg.f64 t))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) t) (*.f64 t (*.f64 y y))) (*.f64 t t)) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 t (*.f64 y y))) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 t (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 t)) (*.f64 t (*.f64 (neg.f64 y) y))) (*.f64 t (neg.f64 t))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) t) (*.f64 t (*.f64 y y))) (*.f64 t t)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (/.f64 t (*.f64 y y))) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 t (*.f64 y y)))) |
(/.f64 (-.f64 t (*.f64 (neg.f64 (/.f64 t y)) (*.f64 (neg.f64 y) y))) (*.f64 (neg.f64 (/.f64 t y)) (neg.f64 t))) |
(/.f64 (-.f64 (neg.f64 t) (*.f64 (neg.f64 (/.f64 t y)) (*.f64 y y))) (*.f64 (neg.f64 (/.f64 t y)) t)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 t (*.f64 y y))) (*.f64 (neg.f64 (/.f64 t y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 t y)) (/.f64 t (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 t)) (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y))) (*.f64 t t)) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (/.f64 t (*.f64 y y))) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) (/.f64 t (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 y (neg.f64 t)) (*.f64 t (*.f64 (neg.f64 y) y))) (*.f64 t (neg.f64 t))) |
(/.f64 (-.f64 (*.f64 y (/.f64 t (*.f64 y y))) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 t (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (*.f64 (/.f64 (/.f64 t y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))) (*.f64 (/.f64 (/.f64 t y) #s(literal 1 binary64)) (neg.f64 t))) |
(/.f64 (-.f64 t (*.f64 (/.f64 (/.f64 t y) #s(literal 1 binary64)) (*.f64 y y))) (*.f64 (/.f64 (/.f64 t y) #s(literal 1 binary64)) t)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y y))) (*.f64 (/.f64 (/.f64 t y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 t (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (*.f64 (/.f64 t y) (*.f64 (neg.f64 y) y))) (*.f64 (/.f64 t y) (neg.f64 t))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y y))) (*.f64 (/.f64 t y) #s(literal 1 binary64))) (*.f64 (/.f64 t y) (/.f64 t (*.f64 y y)))) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 t)) |
(/.f64 (-.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 y y)) t) |
(/.f64 (-.f64 (neg.f64 (neg.f64 y)) (*.f64 y y)) t) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64)) t) |
(/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) (pow.f64 t #s(literal -1 binary64))) (fma.f64 y y y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 t #s(literal -1 binary64))) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) t) |
(/.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y t)) #s(literal 2 binary64))) (+.f64 (/.f64 y t) (*.f64 y (/.f64 y t)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y t)) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (*.f64 y (/.f64 y t)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y))) t) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 t (fma.f64 y y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 t (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y y) t)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) t)) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) t) (*.f64 (neg.f64 t) (*.f64 y y))) (*.f64 (neg.f64 t) t)) |
(/.f64 (-.f64 (*.f64 y t) (*.f64 t (*.f64 y y))) (*.f64 t t)) |
(/.f64 (-.f64 t (*.f64 (/.f64 t y) (*.f64 y y))) (*.f64 (/.f64 t y) t)) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) (*.f64 t (fma.f64 y y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (-.f64 #s(literal 1 binary64) y) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 t (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y)) (neg.f64 t)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t (*.f64 (-.f64 #s(literal 1 binary64) y) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y)) t)) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y t)))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) y (neg.f64 (*.f64 y (/.f64 y t)))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t) (neg.f64 (*.f64 y (/.f64 y t)))) |
(fma.f64 y (pow.f64 t #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y t)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y t) (neg.f64 (*.f64 y (/.f64 y t)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (+.f64 (/.f64 y t) (*.f64 y (/.f64 y t)))) (/.f64 (pow.f64 (*.f64 y (/.f64 y t)) #s(literal 2 binary64)) (+.f64 (/.f64 y t) (*.f64 y (/.f64 y t))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y t)) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (*.f64 y (/.f64 y t)))))) (/.f64 (pow.f64 (*.f64 y (/.f64 y t)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y t)) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (*.f64 y (/.f64 y t))))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 y) t) (*.f64 (neg.f64 t) t)) (/.f64 (*.f64 (neg.f64 t) (*.f64 y y)) (*.f64 (neg.f64 t) t))) |
(-.f64 (/.f64 (*.f64 y t) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 y y)) (*.f64 t t))) |
(-.f64 (/.f64 t (*.f64 (/.f64 t y) t)) (/.f64 (*.f64 (/.f64 t y) (*.f64 y y)) (*.f64 (/.f64 t y) t))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 t (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 t (fma.f64 y y y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 t (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 t (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (fma.f64 y y y)) t) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) t)) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) t) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y)) t)) |
(-.f64 (/.f64 y t) (*.f64 y (/.f64 y t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 (-.f64 #s(literal 1 binary64) y) y))) #s(literal -1 binary64))) |
(+.f64 (/.f64 y t) (neg.f64 (*.f64 y (/.f64 y t)))) |
Compiled 29 461 to 3 751 computations (87.3% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 742 | 20 | 762 |
| Fresh | 6 | 3 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 750 | 26 | 776 |
| Status | Accuracy | Program |
|---|---|---|
| 70.9% | (fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) | |
| ✓ | 70.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| 38.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| ▶ | 71.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| 59.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)) | |
| 84.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| ▶ | 70.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
| 64.3% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)) y))) | |
| 75.3% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) | |
| 67.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z))) | |
| 60.8% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))) | |
| 64.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y)))) | |
| ▶ | 59.7% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) |
| ✓ | 72.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| 72.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) | |
| ▶ | 89.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
| ✓ | 28.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| 15.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 16.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 15.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 28.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (*.f64 (expm1.f64 z) y))))) | |
| 28.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)))) | |
| 20.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) | |
| ▶ | 13.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
| 74.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x))) | |
| 61.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
Compiled 1 405 to 1 037 computations (26.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) | |
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| cost-diff | 0 | (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (neg.f64 z) y) t) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t)) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) | |
| cost-diff | 0 | (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) | |
| cost-diff | 4 | (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 423 |
| 0 | 83 | 423 |
| 1 | 151 | 421 |
| 2 | 315 | 383 |
| 3 | 742 | 375 |
| 4 | 1700 | 369 |
| 5 | 3684 | 369 |
| 6 | 7110 | 369 |
| 0 | 8011 | 354 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(neg.f64 x) |
x |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
(*.f64 t x) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t)) |
(/.f64 (*.f64 (neg.f64 z) y) t) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
t |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))) |
#s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)) |
(*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) |
y |
(/.f64 (*.f64 (*.f64 z z) y) t) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
t |
#s(literal -1/2 binary64) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
t |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) |
t |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(neg.f64 x) |
x |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
(*.f64 t x) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t)) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 z) y) t) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
t |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) y))))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) y)))) |
#s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) y))) |
(*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) y)) |
(*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) |
(*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) y) |
y |
(/.f64 (*.f64 (*.f64 z z) y) t) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
t |
#s(literal -1/2 binary64) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
t |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) |
#s(literal 1 binary64) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) |
t |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0546319074510522 | (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) | |
| accuracy | 4.4387979436852705 | (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) | |
| accuracy | 14.1932102998127 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 33.1570001226818 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| accuracy | 4.554334056018039 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) | |
| accuracy | 15.230165469936308 | #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) | |
| accuracy | 33.1570001226818 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) | |
| accuracy | 6.5206551501041705 | (/.f64 (*.f64 (*.f64 z z) y) t) | |
| accuracy | 7.7567869229891695 | (*.f64 (*.f64 z z) y) | |
| accuracy | 27.11982623507352 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))) | |
| accuracy | 33.57466002136381 | #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 5.047811489227932 | (/.f64 (*.f64 (neg.f64 z) y) t) | |
| accuracy | 15.035148318916145 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) | |
| accuracy | 40.035879221972294 | #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t)) | |
| accuracy | 0.01171875 | (*.f64 (expm1.f64 z) y) | |
| accuracy | 0.7418160714842703 | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| accuracy | 2.137422809878826 | (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) | |
| accuracy | 6.093693324148615 | (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
| 197.0ms | 207× | 1 | valid |
| 14.0ms | 44× | 0 | valid |
| 9.0ms | 5× | 2 | valid |
Compiled 301 to 47 computations (84.4% saved)
ival-mult: 36.0ms (20% of total)ival-log: 36.0ms (20% of total)adjust: 21.0ms (11.7% of total)ival-exp: 21.0ms (11.7% of total)ival-div: 19.0ms (10.5% of total)ival-add: 18.0ms (10% of total)ival-sub: 17.0ms (9.4% of total)ival-expm1: 7.0ms (3.9% of total)ival-log1p: 4.0ms (2.2% of total)ival-neg: 2.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
(neg.f64 x) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t)) |
(/.f64 (*.f64 (neg.f64 z) y) t) |
(*.f64 (neg.f64 z) y) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))) |
#s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(neg.f64 z) |
(*.f64 (*.f64 z z) y) |
(/.f64 (*.f64 (*.f64 z z) y) t) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
| Outputs |
|---|
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 x) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) (* t x)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* -1 (* y z)) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t)))) |
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (* z (+ (* 1/2 (/ z t)) (/ 1 t))))) |
(* -1/2 (/ (* (pow y 2) (pow z 2)) t)) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(/ t (* y (- (exp z) 1))) |
(/ (+ (* 1/2 (* t y)) (/ t (- (exp z) 1))) y) |
(/ (+ (* y (- (* -1 (* y (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y) |
(/ (+ (* y (- (* y (- (* -1 (* y (+ (* -1/4 (* t (pow (- (exp z) 1) 2))) (+ (* 1/6 (* t (pow (- (exp z) 1) 2))) (* 1/2 (* (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))) (- (exp z) 1))))))) (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y) |
(* y (pow z 2)) |
(/ (* y (pow z 2)) t) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* t x)) |
(+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (+ (* 1/3 (/ 1 (* t (* x (* (pow y 3) (pow (- (exp z) 1) 3)))))) (/ (log (- (exp z) 1)) (* t x))))) (* 1/2 (/ 1 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(* (pow y 2) (+ (* -1/2 (/ (pow z 2) t)) (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))) |
(+ (* -1 (/ t (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1))))) (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2)))) (* -1/2 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (pow y 2))) (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))) (/ t (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2)))) (* -1/2 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (* (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (- (exp z) 1)))) (+ (* 1/3 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 3)))) (* 1/2 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 3)))))) (pow y 3))) (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))) (+ (* -1 (/ t (* (pow y 2) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2))))) (+ (* -1/2 (/ t (* (pow y 2) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (/ t (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1))))))) |
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y)))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) (* t x)) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 3)))))) (* 1/2 (/ 1 (* t (* x (pow (- (exp z) 1) 2)))))) y)) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ z t)))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y)) (* -1/2 (/ (pow z 2) t)))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(/ t (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))) |
(+ (/ t (* y (* (+ 1 (* -1 (exp z))) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))) (/ t (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (- (+ (* -1 (/ t (* y (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 3))))) (* -1/2 (/ t (* y (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))))) (/ t (* (+ 1 (* -1 (exp z))) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))) y)) (/ t (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ t (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 3)))) (* -1/2 (/ t (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2))))) (* y (* (+ 1 (* -1 (exp z))) (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))))) (+ (* 1/3 (/ t (* y (* (pow (+ 1 (* -1 (exp z))) 3) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2))))) (* 1/2 (/ t (* y (* (pow (+ 1 (* -1 (exp z))) 3) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 3))))))) (+ (* -1 (/ t (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 3)))) (* -1/2 (/ t (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))))) y)) (/ t (* (+ 1 (* -1 (exp z))) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))) y)) (/ t (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y)))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y)))) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ (* y z) (* t x)) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x)))) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(* z (+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(/ t (* y z)) |
(/ (+ (* -1/2 (/ (* t (* z (+ y (* -1 (pow y 2))))) (pow y 2))) (/ t y)) z) |
(/ (+ (* z (- (* -1 (* z (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z) |
(/ (+ (* z (- (* z (- (* -1 (* z (+ (* -1/2 (/ (* (+ y (* -1 (pow y 2))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2))))) y)) (+ (* -1/12 (/ (* t (* (+ y (* -1 (pow y 2))) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (pow y 3))) (* 1/24 (/ (* t (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (pow y 2))))))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(* -1 z) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(* 1/2 (/ (* (pow z 2) (- y (pow y 2))) t)) |
(* (pow z 2) (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | x | @ | 0 | ((+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg z) y) t) (* (neg z) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (* (* y (/ (* (* z z) y) t)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (* z z) y) (/ (* (* z z) y) t) (+ (- 1 y) (* y (exp z)))) |
| 46.0ms | t | @ | 0 | ((+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg z) y) t) (* (neg z) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (* (* y (/ (* (* z z) y) t)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (* z z) y) (/ (* (* z z) y) t) (+ (- 1 y) (* y (exp z)))) |
| 31.0ms | z | @ | inf | ((+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg z) y) t) (* (neg z) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (* (* y (/ (* (* z z) y) t)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (* z z) y) (/ (* (* z z) y) t) (+ (- 1 y) (* y (exp z)))) |
| 29.0ms | t | @ | -inf | ((+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg z) y) t) (* (neg z) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (* (* y (/ (* (* z z) y) t)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (* z z) y) (/ (* (* z z) y) t) (+ (- 1 y) (* y (exp z)))) |
| 25.0ms | t | @ | inf | ((+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg z) y) t) (* (neg z) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (* (* y (/ (* (* z z) y) t)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (* z z) y) (/ (* (* z z) y) t) (+ (- 1 y) (* y (exp z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 791 | 4230 |
| 1 | 2519 | 3943 |
| 0 | 8544 | 3378 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(* z (+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(/ t (* y z)) |
(/ (+ (* -1/2 (/ (* t (* z (+ y (* -1 (pow y 2))))) (pow y 2))) (/ t y)) z) |
(/ (+ (* z (- (* -1 (* z (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z) |
(/ (+ (* z (- (* z (- (* -1 (* z (+ (* -1/2 (/ (* (+ y (* -1 (pow y 2))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2))))) y)) (+ (* -1/12 (/ (* t (* (+ y (* -1 (pow y 2))) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (pow y 3))) (* 1/24 (/ (* t (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (pow y 2))))))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(* -1 z) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(* 1/2 (/ (* (pow z 2) (- y (pow y 2))) t)) |
(* (pow z 2) (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t)) |
| Outputs |
|---|
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 x) |
(neg.f64 x) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(* -1 (/ (* y z) t)) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 z t)) (neg.f64 x) x) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x (neg.f64 x))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 z t) #s(literal -1 binary64)) (neg.f64 x)) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) x) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64)) y (/.f64 (expm1.f64 z) (neg.f64 t))) y x) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal -1/3 binary64))) y (/.f64 (expm1.f64 z) (neg.f64 t))) y x) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64)) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal -1/3 binary64))) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x) |
(/ (* y (- (exp z) 1)) (* t x)) |
(*.f64 y (/.f64 (/.f64 (expm1.f64 z) x) t)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y t)) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) x) (/.f64 (/.f64 (expm1.f64 z) x) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) x) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) x) #s(literal -1/2 binary64))) y (/.f64 (/.f64 (expm1.f64 z) x) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y t)) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) x) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t))) y (*.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) x) #s(literal -1/2 binary64))) y (/.f64 (/.f64 (expm1.f64 z) x) t)) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(/ (* y (- (exp z) 1)) t) |
(/.f64 (*.f64 (expm1.f64 z) y) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) y (/.f64 (expm1.f64 z) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t))) y (/.f64 (expm1.f64 z) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) t) #s(literal -1/4 binary64))) y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t))) y (/.f64 (expm1.f64 z) t)) y) |
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) z) y) |
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (* z (+ (* 1/2 (/ z t)) (/ 1 t))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) z)) y) |
(* -1/2 (/ (* (pow y 2) (pow z 2)) t)) |
(*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)) |
(* y (- (exp z) 1)) |
(*.f64 (expm1.f64 z) y) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(/ t (* y (- (exp z) 1))) |
(/.f64 t (*.f64 (expm1.f64 z) y)) |
(/ (+ (* 1/2 (* t y)) (/ t (- (exp z) 1))) y) |
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) |
(/ (+ (* y (- (* -1 (* y (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (expm1.f64 z) t) #s(literal -1/12 binary64)) y (*.f64 #s(literal 1/2 binary64) t)) y (/.f64 t (expm1.f64 z))) y) |
(/ (+ (* y (- (* y (- (* -1 (* y (+ (* -1/4 (* t (pow (- (exp z) 1) 2))) (+ (* 1/6 (* t (pow (- (exp z) 1) 2))) (* 1/2 (* (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))) (- (exp z) 1))))))) (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) y (*.f64 (*.f64 (expm1.f64 z) t) #s(literal 1/12 binary64)))) y (*.f64 #s(literal 1/2 binary64) t)) y (/.f64 t (expm1.f64 z))) y) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(/ (* y (pow z 2)) t) |
(/.f64 (*.f64 (*.f64 z z) y) t) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(-.f64 (-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(+.f64 (-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y)))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (-.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 t (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (log.f64 (expm1.f64 z)) t)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 (-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y))) (/.f64 (log.f64 (expm1.f64 z)) t)) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x) (/.f64 (log.f64 y) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y))) (/.f64 (log.f64 (expm1.f64 z)) t)) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(-.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x) (/.f64 (log.f64 y) t)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 t (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y)))) (/.f64 (log.f64 (expm1.f64 z)) t)) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* t x)) |
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x)) |
(+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) |
(+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) (*.f64 t x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y)) x)) (/.f64 (/.f64 (log.f64 y) t) x)) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) (*.f64 t x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y)) x)) (/.f64 (/.f64 (log.f64 y) t) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x)) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (+ (* 1/3 (/ 1 (* t (* x (* (pow y 3) (pow (- (exp z) 1) 3)))))) (/ (log (- (exp z) 1)) (* t x))))) (* 1/2 (/ 1 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))) |
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 t x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y)) x)) (/.f64 (log.f64 (expm1.f64 z)) (*.f64 t x))) (-.f64 (/.f64 (/.f64 (log.f64 y) t) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x))) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
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(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1))))) |
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(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) y)) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y)))) |
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(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(fma.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 y (*.f64 y y)) t) (/.f64 (neg.f64 y) t)) z x) |
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (/.f64 z t)) #s(literal -1/6 binary64) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z x) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 y (*.f64 y y)) t) (/.f64 (neg.f64 y) t)) z x) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (/.f64 z t)) #s(literal -1/6 binary64) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z x) |
(/ (* y z) (* t x)) |
(*.f64 (/.f64 y x) (/.f64 z t)) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y (*.f64 y y)) t) x) #s(literal 1/2 binary64)) z (/.f64 (/.f64 y t) x)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (/.f64 z t)) (*.f64 (/.f64 (/.f64 (-.f64 y (*.f64 y y)) t) x) #s(literal 1/2 binary64))) z (/.f64 (/.f64 y t) x)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x)))) |
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(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (/.f64 z t)) #s(literal 1/6 binary64) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (/.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) #s(literal 1/6 binary64))) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(* y z) |
(*.f64 y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(+ 1 (* y z)) |
(fma.f64 y z #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
(/ t (* y z)) |
(/.f64 t (*.f64 y z)) |
(/ (+ (* -1/2 (/ (* t (* z (+ y (* -1 (pow y 2))))) (pow y 2))) (/ t y)) z) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z) |
(/ (+ (* z (- (* -1 (* z (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z) |
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(/ (+ (* z (- (* z (- (* -1 (* z (+ (* -1/2 (/ (* (+ y (* -1 (pow y 2))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2))))) y)) (+ (* -1/12 (/ (* t (* (+ y (* -1 (pow y 2))) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (pow y 3))) (* 1/24 (/ (* t (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (pow y 2))))))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z) |
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(* z (+ y (* 1/2 (* y z)))) |
(*.f64 (fma.f64 (*.f64 y z) #s(literal 1/2 binary64) y) z) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(* -1 z) |
(neg.f64 z) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 y t)) z) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(* 1/2 (/ (* (pow z 2) (- y (pow y 2))) t)) |
(*.f64 (*.f64 z (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t)) #s(literal 1/2 binary64)) |
(* (pow z 2) (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64) (/.f64 (/.f64 y t) z)) z) z) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(*.f64 (-.f64 (/.f64 y t) (/.f64 x z)) (neg.f64 z)) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t) |
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t) |
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t)) |
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64) (neg.f64 y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 382 |
| 0 | 83 | 382 |
| 1 | 341 | 368 |
| 2 | 2771 | 368 |
| 0 | 8910 | 352 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
(neg.f64 x) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t)) |
(/.f64 (*.f64 (neg.f64 z) y) t) |
(*.f64 (neg.f64 z) y) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))) |
#s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(neg.f64 z) |
(*.f64 (*.f64 z z) y) |
(/.f64 (*.f64 (*.f64 z z) y) t) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x))) (*.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) #s(literal -1 binary64)) x x) |
(fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x) |
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) |
(fma.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 x)) (pow.f64 (*.f64 t x) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) x) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) x) |
(fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 (pow.f64 (*.f64 t x) #s(literal -1 binary64)) (neg.f64 x)) x) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) |
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)))) |
(-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x)) |
(+.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x)) x) |
(+.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 t x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 t x) #s(literal -1 binary64)) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (*.f64 (neg.f64 t) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (*.f64 t x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64)) (*.f64 t x)) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) t) |
(/.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (*.f64 (neg.f64 t) x))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (neg.f64 t) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) |
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 t x))) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 (neg.f64 t) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal -1 binary64))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t))) |
(*.f64 (*.f64 (/.f64 y t) #s(literal -1 binary64)) z) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (neg.f64 z) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y t) z)) |
(*.f64 (*.f64 y z) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 y t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 y (*.f64 (neg.f64 z) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z))) |
(*.f64 z (neg.f64 (/.f64 y t))) |
(pow.f64 (/.f64 (/.f64 t (*.f64 (neg.f64 z) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (*.f64 (neg.f64 z) y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 t y)) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 t y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64)) t) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (neg.f64 z) y)))) |
(/.f64 (*.f64 y z) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 (neg.f64 z) y) t) |
(/.f64 (neg.f64 z) (/.f64 t y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 (neg.f64 z) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y))) |
(neg.f64 (*.f64 (/.f64 y t) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y t) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 (neg.f64 z) y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 y #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 y) z) |
(*.f64 #s(literal -1 binary64) (*.f64 y z)) |
(*.f64 (neg.f64 z) y) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(neg.f64 (*.f64 y z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) t)))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) t)))) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) t)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) t)))) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) t)))) x) (*.f64 x x)) #s(literal -1 binary64))) |
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(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(*.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(*.f64 t (/.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 t (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 t #s(literal 1 binary64)) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(/.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 t) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 t) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))) |
(/.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) |
(/.f64 t (*.f64 #s(literal 1 binary64) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 z)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 z)) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) |
(*.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) |
(*.f64 y (expm1.f64 z)) |
(*.f64 (expm1.f64 z) y) |
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) y) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 2 binary64)))) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 z) y (*.f64 y #s(literal -1 binary64))) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(fma.f64 y (exp.f64 z) (*.f64 y #s(literal -1 binary64))) |
(fma.f64 y (exp.f64 z) (neg.f64 y)) |
(+.f64 (*.f64 (exp.f64 z) y) (*.f64 y #s(literal -1 binary64))) |
(+.f64 (*.f64 (exp.f64 z) y) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) 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 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(*.f64 (*.f64 y z) z) |
(*.f64 (*.f64 z z) y) |
(*.f64 y (*.f64 z z)) |
(*.f64 z (*.f64 y z)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z (*.f64 (neg.f64 z) y)) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 z z) y) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 z z) (/.f64 y t)) |
(*.f64 (/.f64 y t) (*.f64 z z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 z z) y) t)) |
(*.f64 y (/.f64 (*.f64 z z) t)) |
(*.f64 y (*.f64 (*.f64 z z) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 z (*.f64 (/.f64 y t) z)) |
(pow.f64 (/.f64 (/.f64 t (*.f64 (*.f64 z z) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (*.f64 (*.f64 z z) y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) t) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 t y)) |
(/.f64 (neg.f64 (*.f64 z (*.f64 (neg.f64 z) y))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 z (*.f64 (neg.f64 z) y)) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (*.f64 z z) y)))) |
(/.f64 (*.f64 (*.f64 z z) y) t) |
(/.f64 (*.f64 z z) (/.f64 t y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 (*.f64 z z) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 z z) y))) |
(neg.f64 (/.f64 (*.f64 z (*.f64 (neg.f64 z) y)) t)) |
(neg.f64 (/.f64 (*.f64 (*.f64 z z) y) (neg.f64 t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 (*.f64 z z) y))) #s(literal -1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
Compiled 18 943 to 2 093 computations (89% saved)
34 alts after pruning (28 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 438 | 12 | 450 |
| Fresh | 2 | 16 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 442 | 34 | 476 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.9% | (fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
| ✓ | 70.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| 38.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| 59.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)) | |
| 84.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| 74.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) | |
| ✓ | 70.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
| 70.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)))) | |
| 79.6% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) | |
| ▶ | 87.7% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
| 64.3% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)) y))) | |
| 67.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z))) | |
| 60.8% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))) | |
| 64.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y)))) | |
| 57.6% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 (/.f64 y t) (*.f64 z z))) #s(literal -1/2 binary64))))) | |
| 59.3% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 y (/.f64 (*.f64 z z) t))) #s(literal -1/2 binary64))))) | |
| ✓ | 72.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| ✓ | 89.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
| ▶ | 71.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) |
| ✓ | 28.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| 15.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 16.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 15.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 28.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (*.f64 (expm1.f64 z) y))))) | |
| 28.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)))) | |
| 20.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) | |
| 61.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) | |
| ✓ | 13.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
| 12.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) | |
| 13.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y))))) | |
| 74.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x))) | |
| 12.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) | |
| ▶ | 61.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
| ▶ | 14.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
Compiled 1 869 to 1 358 computations (27.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) | |
| cost-diff | 1 | (fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) | |
| cost-diff | 0 | #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) | |
| cost-diff | 0 | (-.f64 (/.f64 x y) (/.f64 z t)) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y)) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) | |
| cost-diff | 2 | (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) (/.f64 z t)) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t))) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) | |
| cost-diff | 0 | #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 401 |
| 0 | 79 | 401 |
| 1 | 136 | 397 |
| 2 | 236 | 379 |
| 3 | 376 | 379 |
| 4 | 550 | 378 |
| 5 | 876 | 372 |
| 6 | 1596 | 372 |
| 7 | 3699 | 372 |
| 8 | 5213 | 372 |
| 9 | 5940 | 372 |
| 10 | 6259 | 372 |
| 11 | 6380 | 372 |
| 12 | 6421 | 372 |
| 0 | 8063 | 351 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) |
#s(literal 1 binary64) |
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) |
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) |
(fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) |
(*.f64 t y) |
t |
y |
#s(literal 1/2 binary64) |
(/.f64 t (expm1.f64 z)) |
(expm1.f64 z) |
z |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t))) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(neg.f64 y) |
y |
(/.f64 z t) |
z |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y)) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y) |
(-.f64 (/.f64 x y) (/.f64 z t)) |
(/.f64 x y) |
x |
y |
(/.f64 z t) |
z |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) |
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x) |
(neg.f64 x) |
x |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) |
(*.f64 (/.f64 y x) (/.f64 z t)) |
(/.f64 y x) |
y |
(/.f64 z t) |
z |
t |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
x |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)))) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) |
#s(literal 1 binary64) |
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) |
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) |
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y) |
(fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) |
(*.f64 t y) |
(*.f64 y t) |
t |
y |
#s(literal 1/2 binary64) |
(/.f64 t (expm1.f64 z)) |
(expm1.f64 z) |
z |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(*.f64 (/.f64 (neg.f64 y) t) z) |
(neg.f64 y) |
y |
(/.f64 z t) |
z |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y t) (neg.f64 z) x))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y)) |
#s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y t) (neg.f64 z) x)) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 (/.f64 x y) (/.f64 z t)) |
(/.f64 x y) |
x |
y |
(/.f64 z t) |
z |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 (/.f64 y x) t) z)) (neg.f64 x) x)) |
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x) |
(fma.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 (/.f64 y x) t) z)) (neg.f64 x) x) |
(neg.f64 x) |
x |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 (/.f64 y x) t) z)) |
(*.f64 (/.f64 y x) (/.f64 z t)) |
(*.f64 (/.f64 (/.f64 y x) t) z) |
(/.f64 y x) |
y |
(/.f64 z t) |
z |
t |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) t) | |
| accuracy | 1.1116183913544502 | (fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) | |
| accuracy | 14.1932102998127 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 33.1570001226818 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) | |
| accuracy | 0.0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) | |
| accuracy | 2.137422809878826 | (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x) | |
| accuracy | 8.138523352712816 | (*.f64 (/.f64 y x) (/.f64 z t)) | |
| accuracy | 23.41174496171173 | #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) | |
| accuracy | 0.0 | #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y)) | |
| accuracy | 0.21484375000000003 | (-.f64 (/.f64 x y) (/.f64 z t)) | |
| accuracy | 11.051141634615723 | (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y) | |
| accuracy | 15.035148318916145 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 4.310140593180862 | (*.f64 (neg.f64 y) (/.f64 z t)) | |
| accuracy | 15.035148318916145 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) | |
| accuracy | 40.035879221972294 | #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t))) | |
| accuracy | 1.0546319074510522 | (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) | |
| accuracy | 1.5624938074906174 | (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) | |
| accuracy | 4.950927261202273 | (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) | |
| accuracy | 13.270652034926947 | #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) |
| 267.0ms | 207× | 1 | valid |
| 15.0ms | 44× | 0 | valid |
| 11.0ms | 5× | 2 | valid |
Compiled 277 to 49 computations (82.3% saved)
ival-add: 60.0ms (24% of total)ival-log: 41.0ms (16.4% of total)ival-exp: 40.0ms (16% of total)ival-mult: 35.0ms (14% of total)ival-div: 32.0ms (12.8% of total)adjust: 17.0ms (6.8% of total)ival-sub: 11.0ms (4.4% of total)ival-expm1: 7.0ms (2.8% of total)ival-log1p: 4.0ms (1.6% of total)ival-neg: 3.0ms (1.2% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) |
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) |
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t))) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(neg.f64 y) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y)) |
(-.f64 (/.f64 x y) (/.f64 z t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) |
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x) |
(neg.f64 x) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
(fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) |
(*.f64 (/.f64 y x) (/.f64 z t)) |
(/.f64 #s(literal -1 binary64) t) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
(* -1 (/ z t)) |
(- (/ x y) (/ z t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(* -1 x) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(/ (* y z) (* t x)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(/ x y) |
(* x (+ (* -1 (/ z (* t x))) (/ 1 y))) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(* -1 (* x (- (/ z (* t x)) (/ 1 y)))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(/ t (* y (- (exp z) 1))) |
(/ (+ (* 1/2 (* t y)) (/ t (- (exp z) 1))) y) |
(/ (+ (* y (- (* -1 (* y (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y) |
(/ (+ (* y (- (* y (- (* -1 (* y (+ (* -1/4 (* t (pow (- (exp z) 1) 2))) (+ (* 1/6 (* t (pow (- (exp z) 1) 2))) (* 1/2 (* (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))) (- (exp z) 1))))))) (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y) |
(* -1 y) |
(/ (+ x (* -1 (/ (* y z) t))) y) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(/ (* y (- (exp z) 1)) (* t x)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y z)) |
(/ t (- (exp z) 1)) |
(+ (* 1/2 (* t y)) (/ t (- (exp z) 1))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
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(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
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(/ t (* y z)) |
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(/ (+ (* z (- (+ (* -1 (/ (* z (+ (* -1/4 t) (* 1/6 t))) y)) (* 1/2 t)) (* 1/2 (/ t y)))) (/ t y)) z) |
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(+ (* -1 (/ z t)) (/ x y)) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
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(/ t z) |
(/ (+ t (* z (- (* 1/2 (* t y)) (* 1/2 t)))) z) |
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(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(* z (- (/ x (* y z)) (/ 1 t))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(* z (+ y (/ 1 z))) |
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(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 t)))) |
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(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (- (/ (* t x) y) z) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 106.0ms | z | @ | -inf | ((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (neg y) (/ z t)) (neg y) (* (- (/ x y) (/ z t)) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (- (/ x y) (/ z t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (+ (* (log (+ (- 1 y) (* y (exp z)))) (/ -1 t)) x) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* z y) 1) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (* (/ y x) (/ z t)) (/ -1 t)) |
| 68.0ms | y | @ | inf | ((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (neg y) (/ z t)) (neg y) (* (- (/ x y) (/ z t)) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (- (/ x y) (/ z t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (+ (* (log (+ (- 1 y) (* y (exp z)))) (/ -1 t)) x) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* z y) 1) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (* (/ y x) (/ z t)) (/ -1 t)) |
| 60.0ms | z | @ | 0 | ((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (neg y) (/ z t)) (neg y) (* (- (/ x y) (/ z t)) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (- (/ x y) (/ z t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (+ (* (log (+ (- 1 y) (* y (exp z)))) (/ -1 t)) x) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* z y) 1) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (* (/ y x) (/ z t)) (/ -1 t)) |
| 31.0ms | t | @ | 0 | ((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (neg y) (/ z t)) (neg y) (* (- (/ x y) (/ z t)) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (- (/ x y) (/ z t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (+ (* (log (+ (- 1 y) (* y (exp z)))) (/ -1 t)) x) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* z y) 1) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (* (/ y x) (/ z t)) (/ -1 t)) |
| 31.0ms | t | @ | inf | ((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (neg y) (/ z t)) (neg y) (* (- (/ x y) (/ z t)) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (- (/ x y) (/ z t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (+ (* (log (+ (- 1 y) (* y (exp z)))) (/ -1 t)) x) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* z y) 1) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (* (/ y x) (/ z t)) (/ -1 t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 823 | 4440 |
| 1 | 2589 | 4116 |
| 0 | 8609 | 3529 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
(* -1 (/ z t)) |
(- (/ x y) (/ z t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(* -1 x) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(/ (* y z) (* t x)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(/ x y) |
(* x (+ (* -1 (/ z (* t x))) (/ 1 y))) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(* -1 (* x (- (/ z (* t x)) (/ 1 y)))) |
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(* 1/2 t) |
(+ (* 1/2 t) (/ t (* y (- (exp z) 1)))) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
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(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* t x)) |
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(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y z) |
(* y (+ z (/ 1 y))) |
(* 1/2 (* t y)) |
(* y (+ (* 1/2 t) (/ t (* y (- (exp z) 1))))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
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(* -1 (* y (+ (* -1 (/ x y)) (/ z t)))) |
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y)))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))) |
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) (* t x)) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
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(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- (* -1 z) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (/ t (* y (- (exp z) 1)))) (* -1/2 t)))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(/ t (* y z)) |
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(/ (+ (* z (- (* -1 (* z (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z) |
(/ (+ (* z (- (* z (- (* -1 (* z (+ (* -1/2 (/ (* (+ y (* -1 (pow y 2))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2))))) y)) (+ (* -1/12 (/ (* t (* (+ y (* -1 (pow y 2))) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (pow y 3))) (* 1/24 (/ (* t (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (pow y 2))))))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z) |
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(+ (* -1 (/ z t)) (/ x y)) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) |
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(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(/ t z) |
(/ (+ t (* z (- (* 1/2 (* t y)) (* 1/2 t)))) z) |
(/ (+ t (* z (- (+ (* -1 (* z (+ (* -1/4 t) (* 1/6 t)))) (* 1/2 (* t y))) (* 1/2 t)))) z) |
(/ (+ t (* z (- (+ (* 1/2 (* t y)) (* z (- (* -1 (* z (+ (* -1/2 (+ (* -1/4 t) (* 1/6 t))) (+ (* -1/12 t) (* 1/24 t))))) (+ (* -1/4 t) (* 1/6 t))))) (* 1/2 t)))) z) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(* z (- (/ x (* y z)) (/ 1 t))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(* z (+ y (/ 1 z))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 t)))) |
(* -1 (* z (- (* -1 y) (/ 1 z)))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (- (/ (* t x) y) z) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) |
(/ -1 t) |
(* -1 (/ (* t (- (* -1/2 y) (/ 1 (- (exp z) 1)))) y)) |
(* -1 (* t (- (* -1/2 y) (/ 1 (- (exp z) 1))))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 (/ (* y z) t)) |
(*.f64 (/.f64 (neg.f64 y) t) z) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (/.f64 (neg.f64 y) t) z x) |
(* -1 (/ z t)) |
(/.f64 (neg.f64 z) t) |
(- (/ x y) (/ z t)) |
(-.f64 (/.f64 x y) (/.f64 z t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 x) |
(neg.f64 x) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (* y z) (* t x)) |
(*.f64 (/.f64 y x) (/.f64 z t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 z t)) (neg.f64 x) x) |
(/ x y) |
(/.f64 x y) |
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(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (expm1.f64 z) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)) |
(* -1 (* y (- (* -1 z) (/ 1 y)))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (/ t (* y (- (exp z) 1)))) (* -1/2 t)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) t (/.f64 (/.f64 (neg.f64 t) y) (expm1.f64 z))) (neg.f64 y)) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) t) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) t)) z x) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) (*.f64 (/.f64 (fma.f64 (neg.f64 y) y y) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z x) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 y) y y) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) z) t) #s(literal 1/6 binary64) (*.f64 (/.f64 (fma.f64 (neg.f64 y) y y) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (/.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) #s(literal 1/6 binary64))) z (*.f64 (/.f64 (fma.f64 (neg.f64 y) y y) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(/ t (* y z)) |
(/.f64 t (*.f64 z y)) |
(/ (+ (* -1/2 (/ (* t (* z (+ y (* -1 (pow y 2))))) (pow y 2))) (/ t y)) z) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z) |
(/ (+ (* z (- (* -1 (* z (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) y) (/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) t) #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 z) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (neg.f64 y) y y) t)) (*.f64 y y))) z (/.f64 t y)) z) |
(/ (+ (* z (- (* z (- (* -1 (* z (+ (* -1/2 (/ (* (+ y (* -1 (pow y 2))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2))))) y)) (+ (* -1/12 (/ (* t (* (+ y (* -1 (pow y 2))) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (pow y 3))) (* 1/24 (/ (* t (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (pow y 2))))))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) y) (/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) t) #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)))) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) t) (/.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y) y) y) (*.f64 (*.f64 #s(literal -1/12 binary64) t) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (fma.f64 (neg.f64 y) y y)) (pow.f64 y #s(literal 3 binary64)))))) z (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) y) (/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) t) #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (neg.f64 y) y y) t)) (*.f64 y y))) z (/.f64 t y)) z) |
(/ (+ (* z (- (* 1/2 t) (* 1/2 (/ t y)))) (/ t y)) z) |
(/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 t (/.f64 t y)) (/.f64 t y)) z) |
(/ (+ (* z (- (+ (* -1 (/ (* z (+ (* -1/4 t) (* 1/6 t))) y)) (* 1/2 t)) (* 1/2 (/ t y)))) (/ t y)) z) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) t) y) z (*.f64 #s(literal 1/2 binary64) (-.f64 t (/.f64 t y)))) z (/.f64 t y)) z) |
(/ (+ (* z (- (+ (* 1/2 t) (* z (+ (* -1 (/ (* z (+ (* -1/2 (+ (* -1/4 t) (* 1/6 t))) (+ (* -1/12 t) (* 1/24 t)))) y)) (* -1 (/ (+ (* -1/4 t) (* 1/6 t)) y))))) (* 1/2 (/ t y)))) (/ t y)) z) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (/.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 t #s(literal -1/24 binary64))) y) (/.f64 (*.f64 #s(literal 1/12 binary64) t) y)) z (*.f64 #s(literal 1/2 binary64) (-.f64 t (/.f64 t y)))) z (/.f64 t y)) z) |
(+ (* -1 (/ z t)) (/ x y)) |
(-.f64 (/.f64 x y) (/.f64 z t)) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) t) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) t)) z x) |
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) (*.f64 (/.f64 (fma.f64 (neg.f64 y) y y) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z x) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y y) t) x) #s(literal 1/2 binary64)) z (/.f64 (/.f64 y t) x)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) z) x) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) (*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y y) t) x) #s(literal 1/2 binary64))) z (/.f64 (/.f64 y t) x)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 (neg.f64 y) y y) t) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 z t)) (/.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y) x) (*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t))) z)) z (/.f64 (/.f64 y t) x)) z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 y) y y) y) z) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 z #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64))) z y) z) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
(/ t z) |
(/.f64 t z) |
(/ (+ t (* z (- (* 1/2 (* t y)) (* 1/2 t)))) z) |
(/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z) |
(/ (+ t (* z (- (+ (* -1 (* z (+ (* -1/4 t) (* 1/6 t)))) (* 1/2 (* t y))) (* 1/2 t)))) z) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) t) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z) |
(/ (+ t (* z (- (+ (* 1/2 (* t y)) (* z (- (* -1 (* z (+ (* -1/2 (+ (* -1/4 t) (* 1/6 t))) (+ (* -1/12 t) (* 1/24 t))))) (+ (* -1/4 t) (* 1/6 t))))) (* 1/2 t)))) z) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 t #s(literal -1/24 binary64))) z (*.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 y t)) z) |
(* z (- (/ x (* y z)) (/ 1 t))) |
(*.f64 (-.f64 (/.f64 (/.f64 x z) y) (/.f64 #s(literal 1 binary64) t)) z) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* z (+ y (/ 1 z))) |
(fma.f64 z y #s(literal 1 binary64)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(*.f64 (-.f64 (/.f64 y t) (/.f64 x z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 t)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (/.f64 x z) y)) (neg.f64 z)) |
(* -1 (* z (- (* -1 y) (/ 1 z)))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) y)) (neg.f64 z)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) |
(/.f64 (fma.f64 (*.f64 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t) |
(/ (- (/ (* t x) y) z) t) |
(/.f64 (fma.f64 t (/.f64 x y) (neg.f64 z)) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) |
(fma.f64 (*.f64 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(* -1 (/ (* t (- (* -1/2 y) (/ 1 (- (exp z) 1)))) y)) |
(/.f64 (*.f64 (neg.f64 t) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z)))) y) |
(* -1 (* t (- (* -1/2 y) (/ 1 (- (exp z) 1))))) |
(*.f64 (neg.f64 t) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 354 |
| 0 | 79 | 354 |
| 1 | 328 | 350 |
| 2 | 2734 | 350 |
| 0 | 8734 | 335 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) |
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) |
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t))) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(neg.f64 y) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y)) |
(-.f64 (/.f64 x y) (/.f64 z t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) |
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x) |
(neg.f64 x) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
(fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) |
(*.f64 (/.f64 y x) (/.f64 z t)) |
(/.f64 #s(literal -1 binary64) t) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64))) (pow.f64 (+.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (neg.f64 t))) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (neg.f64 t)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (neg.f64 t)) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) x) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (neg.f64 t)) #s(literal 2 binary64)) (-.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (neg.f64 t)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (neg.f64 t)) x))) |
(+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (neg.f64 t)) x) |
(+.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (neg.f64 t))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal -1 binary64))) (*.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 z y #s(literal -1 binary64)) (fma.f64 z y #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 z y #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 z y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
(fma.f64 y (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal -1 binary64))) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 z y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y t) #s(literal 2 binary64)) (*.f64 (/.f64 t (expm1.f64 z)) (-.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))))) #s(literal -1 binary64))) |
(*.f64 t (fma.f64 #s(literal 1/2 binary64) y (pow.f64 (expm1.f64 z) #s(literal -1 binary64)))) |
(*.f64 t (+.f64 (pow.f64 (expm1.f64 z) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y t) #s(literal 2 binary64)) (*.f64 (/.f64 t (expm1.f64 z)) (-.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64))) (-.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y t) #s(literal 2 binary64)) (*.f64 (/.f64 t (expm1.f64 z)) (-.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z)))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y t) #s(literal 2 binary64)) (*.f64 (/.f64 t (expm1.f64 z)) (-.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y t) #s(literal 2 binary64)) (*.f64 (/.f64 t (expm1.f64 z)) (-.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 t (expm1.f64 (*.f64 z #s(literal 2 binary64)))) (+.f64 (exp.f64 z) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(fma.f64 (/.f64 t (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) y (/.f64 t (expm1.f64 z))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) t (/.f64 t (expm1.f64 z))) |
(fma.f64 (pow.f64 (expm1.f64 z) #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(fma.f64 (pow.f64 (expm1.f64 z) #s(literal -1 binary64)) t (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(fma.f64 (neg.f64 t) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) |
(fma.f64 (*.f64 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) |
(fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) |
(fma.f64 t (*.f64 #s(literal 1/2 binary64) y) (/.f64 t (expm1.f64 z))) |
(fma.f64 t (pow.f64 (expm1.f64 z) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(fma.f64 #s(literal 1 binary64) (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z)))) (/.f64 (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))) |
(+.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(*.f64 (/.f64 z x) (/.f64 y t)) |
(*.f64 (*.f64 (/.f64 y x) z) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 z t) y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 z y) (pow.f64 (*.f64 t x) #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) (/.f64 z t)) |
(*.f64 (/.f64 z t) (/.f64 y x)) |
(*.f64 (/.f64 y t) (/.f64 z x)) |
(*.f64 z (/.f64 y (*.f64 t x))) |
(*.f64 z (pow.f64 (*.f64 t (/.f64 x y)) #s(literal -1 binary64))) |
(*.f64 y (/.f64 (/.f64 z t) x)) |
(*.f64 y (/.f64 z (*.f64 t x))) |
(*.f64 y (pow.f64 (*.f64 x (/.f64 t z)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 t (*.f64 (/.f64 y x) z)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 (/.f64 z t) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 t x) (*.f64 z y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x y) (/.f64 t z)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 t z) (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 z) (/.f64 y x)) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64)) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 y x) z)) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 y)) (*.f64 (neg.f64 t) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 t z) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 x y))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 t (/.f64 x y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 x y) (neg.f64 t))) |
(/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x y) t)) |
(/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 x) (neg.f64 t))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 t z))) |
(/.f64 (*.f64 (/.f64 y x) (neg.f64 z)) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 t z)) |
(/.f64 (*.f64 (/.f64 y x) z) t) |
(/.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 t) x)) |
(/.f64 (*.f64 (/.f64 z t) y) x) |
(/.f64 (*.f64 z y) (*.f64 t x)) |
(/.f64 (/.f64 y x) (/.f64 t z)) |
(/.f64 (/.f64 z t) (/.f64 x y)) |
(/.f64 (*.f64 (/.f64 z t) (neg.f64 y)) (neg.f64 x)) |
(/.f64 y (*.f64 (/.f64 t z) x)) |
(/.f64 y (*.f64 x (/.f64 t z))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 z t) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t x) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 t z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 x y))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t)) |
(pow.f64 (/.f64 (*.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 t) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 t))) |
(/.f64 #s(literal -1 binary64) t) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 t)) |
(neg.f64 (pow.f64 t #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 t #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 t)) #s(literal -1 binary64))) |
Compiled 23 219 to 2 749 computations (88.2% saved)
36 alts after pruning (29 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 524 | 15 | 539 |
| Fresh | 9 | 14 | 23 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 537 | 36 | 573 |
| Status | Accuracy | Program |
|---|---|---|
| 30.8% | (fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* z y) 1) (*.f64 z y)))) (/.f64 #s(literal -1 binary64) t) x) | |
| ✓ | 70.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| 38.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| 59.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)) | |
| 84.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| ✓ | 70.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
| 70.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)))) | |
| 79.6% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z)))) | |
| 84.1% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) t) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) | |
| 83.9% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 t #s(literal -1/24 binary64))) z (*.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) | |
| 85.0% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) | |
| 53.8% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 y t) #s(literal 1/2 binary64))) y)))) | |
| 77.8% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) | |
| 56.1% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) | |
| 60.8% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))) | |
| 57.6% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 (/.f64 y t) (*.f64 z z))) #s(literal -1/2 binary64))))) | |
| 75.3% | (-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y))) | |
| ✓ | 72.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| ✓ | 89.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
| 71.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 y x) (/.f64 t z))) x)) | |
| 72.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (*.f64 (/.f64 y x) z) t)) x)) | |
| ✓ | 28.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| 15.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 16.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 15.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 28.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (*.f64 (expm1.f64 z) y))))) | |
| 28.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)))) | |
| 20.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) | |
| ✓ | 13.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
| 12.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) | |
| 14.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 y) (/.f64 t z)))) | |
| 13.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y))))) | |
| 10.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (/.f64 z t)))) | |
| 12.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) | |
| ✓ | 14.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
| 56.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
Compiled 3 026 to 1 218 computations (59.7% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 y) (/.f64 t z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 y (/.f64 (*.f64 z z) t))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 (/.f64 y t) (*.f64 z z))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (*.f64 (/.f64 y x) z) t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 y t) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (/.f64 z t)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 y x) (/.f64 t z))) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) t) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 t #s(literal -1/24 binary64))) z (*.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* z y) 1) (*.f64 z y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
(-.f64 x (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) (*.f64 (log1p.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))) (log1p.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))))) (+.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))))) t)) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) |
9 calls:
| 43.0ms | z |
| 27.0ms | x |
| 26.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 26.0ms | (exp.f64 z) |
| 18.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.3% | 3 | x |
| 96.8% | 3 | y |
| 95.5% | 2 | z |
| 93.8% | 3 | t |
| 96.3% | 4 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 96.6% | 4 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 96.8% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 96.8% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 95.5% | 2 | (exp.f64 z) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 y) (/.f64 t z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 y (/.f64 (*.f64 z z) t))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 (/.f64 y t) (*.f64 z z))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (*.f64 (/.f64 y x) z) t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 y t) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (/.f64 z t)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 y x) (/.f64 t z))) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) t) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 t #s(literal -1/24 binary64))) z (*.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* z y) 1) (*.f64 z y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
5 calls:
| 31.0ms | y |
| 17.0ms | z |
| 16.0ms | (exp.f64 z) |
| 13.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 11.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 2 | y |
| 94.8% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 94.8% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 90.1% | 2 | z |
| 90.1% | 2 | (exp.f64 z) |
Compiled 21 to 32 computations (-52.4% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 y) (/.f64 t z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 y (/.f64 (*.f64 z z) t))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 (/.f64 y t) (*.f64 z z))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (*.f64 (/.f64 y x) z) t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 y t) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (/.f64 z t)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 y x) (/.f64 t z))) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) t) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 t #s(literal -1/24 binary64))) z (*.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* z y) 1) (*.f64 z y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) |
7 calls:
| 32.0ms | t |
| 18.0ms | x |
| 14.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 14.0ms | y |
| 13.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 1 | y |
| 87.7% | 1 | x |
| 90.0% | 2 | t |
| 90.1% | 2 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 92.7% | 3 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 90.1% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 90.1% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 44 to 54 computations (-22.7% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 y) (/.f64 t z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 y (/.f64 (*.f64 z z) t))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 (/.f64 y t) (*.f64 z z))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (*.f64 (/.f64 y x) z) t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 y t) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (/.f64 z t)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 y x) (/.f64 t z))) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) t) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 t #s(literal -1/24 binary64))) z (*.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* z y) 1) (*.f64 z y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
3 calls:
| 25.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 11.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 11.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 90.1% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 90.1% | 2 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
Compiled 28 to 30 computations (-7.1% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 y) (/.f64 t z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 y (/.f64 (*.f64 z z) t))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 (/.f64 y t) (*.f64 z z))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (*.f64 (/.f64 y x) z) t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 y t) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (/.f64 z t)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 y x) (/.f64 t z))) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) t) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 t #s(literal -1/24 binary64))) z (*.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* z y) 1) (*.f64 z y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 y t) #s(literal 1/2 binary64))) y)))) |
9 calls:
| 25.0ms | x |
| 18.0ms | t |
| 17.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 15.0ms | z |
| 14.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 2 | x |
| 88.2% | 2 | y |
| 86.0% | 1 | t |
| 88.2% | 2 | z |
| 87.6% | 2 | (exp.f64 z) |
| 87.9% | 2 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 89.9% | 3 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 89.0% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 89.0% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 y) (/.f64 t z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 y (/.f64 (*.f64 z z) t))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 (/.f64 y t) (*.f64 z z))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (*.f64 (/.f64 y x) z) t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 y t) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (/.f64 z t)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 y x) (/.f64 t z))) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) t) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 t #s(literal -1/24 binary64))) z (*.f64 #s(literal -1/12 binary64) t))) z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y t) t))) z t) z)) y)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) |
9 calls:
| 32.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 28.0ms | t |
| 15.0ms | y |
| 12.0ms | x |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 1 | t |
| 85.0% | 1 | (exp.f64 z) |
| 85.0% | 1 | x |
| 85.0% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 85.0% | 1 | y |
| 85.0% | 1 | z |
| 85.0% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 85.0% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 85.0% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 y) (/.f64 t z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 y (/.f64 (*.f64 z z) t))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (*.f64 (/.f64 y t) (*.f64 z z))) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (neg.f64 y) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 y x) (/.f64 z t))) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (*.f64 (/.f64 y x) z) t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 y t) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (/.f64 z t)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 y x) (/.f64 t z))) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y))) |
9 calls:
| 61.0ms | t |
| 26.0ms | y |
| 8.0ms | z |
| 8.0ms | x |
| 8.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.3% | 1 | x |
| 77.6% | 2 | y |
| 79.3% | 3 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 81.1% | 2 | z |
| 75.3% | 1 | t |
| 75.3% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 80.6% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 80.6% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 80.7% | 2 | (exp.f64 z) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
(-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y))) |
4 calls:
| 3.0ms | z |
| 2.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 2.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 2.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 79.0% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 78.6% | 2 | (exp.f64 z) |
| 79.5% | 2 | z |
Compiled 20 to 28 computations (-40% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
9 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 2.0ms | t |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 1 | x |
| 72.8% | 1 | t |
| 72.8% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 72.8% | 1 | y |
| 74.8% | 2 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 74.9% | 2 | (exp.f64 z) |
| 76.5% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 76.5% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 75.9% | 2 | z |
Compiled 47 to 63 computations (-34% saved)
Total -33.9b remaining (-121.4%)
Threshold costs -33.9b (-121.4%)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
9 calls:
| 21.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 2.0ms | t |
| 2.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.3% | 1 | x |
| 56.3% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 56.3% | 1 | y |
| 56.3% | 1 | t |
| 56.3% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 56.3% | 1 | (exp.f64 z) |
| 56.3% | 1 | z |
| 56.3% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 56.3% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 47 to 63 computations (-34% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.004172870730481058 | 0.9999999872575569 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0000000000000009 |
Compiled 16 to 19 computations (-18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0359904395815436e+288 | +inf |
| 0.0ms | 12299725351.410694 | 6108078845011144000.0 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999599698881 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0000000000000009 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | -2.1845012078522334e+27 | -3.4035228603018436e+23 |
| 12.0ms | 47× | 1 | valid |
| 7.0ms | 81× | 0 | valid |
| 1.0ms | 20× | 0 | invalid |
Compiled 456 to 363 computations (20.4% saved)
ival-log: 7.0ms (46.5% of total)ival-sub: 2.0ms (13.3% of total)ival-add: 1.0ms (6.6% of total)ival-div: 1.0ms (6.6% of total)adjust: 1.0ms (6.6% of total)ival-exp: 1.0ms (6.6% of total)ival-mult: 1.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | -2.836561688368574e+46 | -2.8278242241557162e+40 |
| 10.0ms | 43× | 1 | valid |
| 8.0ms | 101× | 0 | valid |
| 2.0ms | 20× | 0 | invalid |
Compiled 529 to 397 computations (25% saved)
ival-log: 7.0ms (47.2% of total)ival-sub: 2.0ms (13.5% of total)ival-div: 2.0ms (13.5% of total)ival-add: 1.0ms (6.7% of total)adjust: 1.0ms (6.7% of total)ival-exp: 1.0ms (6.7% of total)ival-mult: 1.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 96476.59220377346 | 204552.26301884092 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | egg-herbie |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 644 |
| 1 | 177 | 641 |
| 2 | 282 | 637 |
| 3 | 440 | 637 |
| 4 | 668 | 637 |
| 5 | 1016 | 637 |
| 6 | 1806 | 637 |
| 7 | 3407 | 637 |
| 8 | 4503 | 635 |
| 9 | 4929 | 635 |
| 10 | 5208 | 635 |
| 11 | 5373 | 635 |
| 12 | 5526 | 635 |
| 13 | 5852 | 635 |
| 14 | 6328 | 635 |
| 15 | 7123 | 635 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (exp.f64 z) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))) |
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 20000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 4000000000000000030521894158300142642059113342046843003120346657759878042545979818444526196543356746055933822221580883582751442179238339999318901042379493084349598505946424585770203955360067669578505798145580834481068051112311150893583656258428479848277933298295911431328555301131819941888 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 y t) #s(literal 1/2 binary64))) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) |
(if (<=.f64 z #s(literal -2150000000000000042312138752 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) (-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y)))) |
(if (<=.f64 z #s(literal -28000000000000001836155893371683638648170872832 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) (-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y)))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 100000 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
| Outputs |
|---|
(if (<=.f64 (exp.f64 z) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)) #s(literal -1 binary64)))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))) |
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 20000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 4000000000000000030521894158300142642059113342046843003120346657759878042545979818444526196543356746055933822221580883582751442179238339999318901042379493084349598505946424585770203955360067669578505798145580834481068051112311150893583656258428479848277933298295911431328555301131819941888 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))))) |
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 20000000000 binary64)) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 4000000000000000030521894158300142642059113342046843003120346657759878042545979818444526196543356746055933822221580883582751442179238339999318901042379493084349598505946424585770203955360067669578505798145580834481068051112311150893583656258428479848277933298295911431328555301131819941888 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)) #s(literal -1 binary64))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)) #s(literal -1 binary64))) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64)))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 y t) #s(literal 1/2 binary64))) y))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 y t) #s(literal 1/2 binary64))) y)) #s(literal -1 binary64)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)))) |
(-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 y t) t) t) z)) y)) #s(literal -1 binary64))) |
(if (<=.f64 z #s(literal -2150000000000000042312138752 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) (-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y)))) |
(if (<=.f64 z #s(literal -2150000000000000042312138752 binary64)) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))) #s(literal -1 binary64))) (-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y)))) |
(if (<=.f64 z #s(literal -28000000000000001836155893371683638648170872832 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) (-.f64 x #s(approx (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (*.f64 (/.f64 z t) y)))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 100000 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 #s(approx (- (/ x y) (/ z t)) (/.f64 x y)) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 287 |
| 0 | 66 | 287 |
| 1 | 281 | 287 |
| 2 | 2309 | 287 |
| 0 | 8638 | 277 |
| 0 | 599 | 2917 |
| 1 | 1972 | 2769 |
| 2 | 6009 | 2662 |
| 0 | 8825 | 2255 |
| 0 | 335 | 1607 |
| 1 | 1012 | 1507 |
| 2 | 3189 | 1458 |
| 0 | 8270 | 1214 |
| 0 | 823 | 4440 |
| 1 | 2589 | 4116 |
| 0 | 8609 | 3529 |
| 0 | 791 | 4230 |
| 1 | 2519 | 3943 |
| 0 | 8544 | 3378 |
| 0 | 12 | 45 |
| 0 | 19 | 45 |
| 1 | 73 | 45 |
| 2 | 593 | 45 |
| 3 | 7250 | 45 |
| 0 | 9030 | 38 |
| 1× | fuel |
| 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 |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 356 to 657 computations (51.5% saved)
Compiled 1 404 to 316 computations (77.5% saved)
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