
Time bar (total: 16.3s)
| 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)
| 2.8s | 4 503× | 1 | valid |
| 1.3s | 1 202× | 5 | exit |
| 1.0s | 3 753× | 0 | valid |
| 291.0ms | 379× | 4 | exit |
| 226.0ms | 1 774× | 0 | invalid |
| 216.0ms | 672× | 1 | invalid |
ival-log: 1.6s (35.1% of total)ival-exp: 1.2s (26.9% of total)adjust: 482.0ms (10.4% of total)ival-sub: 454.0ms (9.8% of total)ival-div: 337.0ms (7.3% of total)ival-add: 264.0ms (5.7% of total)ival-mult: 201.0ms (4.3% of total)ival-true: 12.0ms (0.3% of total)exact: 9.0ms (0.2% of total)ival-assert: 6.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 160 | 48 | (-9.624588655146863e-48 9.05977782921338e-285 2.4584570677678266e-150 -5.731022451591554e-36) | 0 | - | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 71 | 6 | (-3.6076694250043845e-109 53745.630111959326 1.1126209150856494e-169 2.4769639069482713e-101) | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 18 | 0 | - | 1 | (-1.8675461353407297e-27 5.8968787129474805e-123 -3.480840454642375e-189 -1.0242401892468516e-133) | (/.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 | 208 | 0 |
+.f64 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | cancellation | 31 | 0 |
/.f64 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | u/n | 3 | 0 |
| ↳ | (exp.f64 z) | underflow | 85 | |
| ↳ | (*.f64 y (exp.f64 z)) | underflow | 85 | |
| ↳ | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | underflow | 48 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 85 | 12 |
| - | 129 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 85 | 0 | 12 |
| - | 129 | 0 | 30 |
| number | freq |
|---|---|
| 0 | 42 |
| 1 | 186 |
| 2 | 28 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 116.0ms | 318× | 1 | valid |
| 113.0ms | 128× | 2 | valid |
| 22.0ms | 64× | 0 | valid |
| 1.0ms | 2× | 5 | exit |
Compiled 182 to 52 computations (71.4% saved)
ival-log: 129.0ms (59.2% of total)ival-exp: 35.0ms (16.1% of total)adjust: 18.0ms (8.3% of total)ival-sub: 13.0ms (6% of total)ival-div: 11.0ms (5.1% of total)ival-mult: 6.0ms (2.8% of total)ival-add: 5.0ms (2.3% 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 | 192 |
| 1 | 179 | 186 |
| 2 | 601 | 184 |
| 3 | 2409 | 184 |
| 0 | 12 | 13 |
| 0 | 19 | 13 |
| 1 | 34 | 13 |
| 2 | 87 | 13 |
| 3 | 261 | 13 |
| 4 | 1028 | 13 |
| 5 | 6328 | 13 |
| 0 | 8312 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 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 |
|---|---|---|
| ▶ | 63.8% | (-.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 | 64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | |
| cost-diff | 320 | (+.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 | 34 | 55 |
| 2 | 87 | 55 |
| 3 | 261 | 55 |
| 4 | 1028 | 55 |
| 5 | 6328 | 55 |
| 0 | 8312 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 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 | 0.00390625 | (*.f64 y (exp.f64 z)) | |
| accuracy | 4.068906910071228 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | |
| accuracy | 16.681798808654612 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | |
| accuracy | 35.775212934491464 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 70.0ms | 159× | 1 | valid |
| 59.0ms | 64× | 2 | valid |
| 3.0ms | 32× | 0 | valid |
| 0.0ms | 1× | 5 | exit |
Compiled 112 to 26 computations (76.8% saved)
ival-log: 34.0ms (33.8% of total)adjust: 33.0ms (32.8% of total)ival-exp: 17.0ms (16.9% of total)ival-sub: 6.0ms (6% of total)ival-div: 4.0ms (4% of total)ival-mult: 3.0ms (3% of total)ival-add: 3.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (-.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 | |
|---|---|---|---|---|
| 60.0ms | 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))) |
| 53.0ms | 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))) |
| 24.0ms | 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))) |
| 22.0ms | 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))) |
| 13.0ms | 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 | 1589 |
| 1 | 1136 | 1462 |
| 2 | 4524 | 1410 |
| 0 | 8380 | 1175 |
| 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))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) #s(literal 1 binary64))) |
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 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #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) (exp.f64 z)) t) y x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (/.f64 (fma.f64 (exp.f64 z) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))) 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 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) y)) t) y (/.f64 (-.f64 #s(literal 1 binary64) (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 (/.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (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 (/.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 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 (/.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))) t) 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 (/.f64 #s(literal 1/2 binary64) (*.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 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) y)) |
(- 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 x (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (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 #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 binary64) (*.f64 (expm1.f64 z) y)) (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 (*.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)) (log.f64 y)) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) 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 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (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 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) 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 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) t) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) 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 (log1p.f64 (neg.f64 (exp.f64 z))) (-.f64 (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))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)))) (log.f64 (/.f64 #s(literal -1 binary64) 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))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z)))) 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 #s(literal 1 binary64) (*.f64 (neg.f64 y) (expm1.f64 z))) (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) t) x) |
(- (+ 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 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y))) t) y) 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 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))) 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))))))) |
(+.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y))) 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 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) t)) 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) 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 #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) |
(+ x (* -1 (/ (* y z) t))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (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 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) z) (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 (/.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 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) 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 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (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) 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 (/.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))) t) 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) 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 | 79 | 45 |
| 2 | 675 | 45 |
| 0 | 8449 | 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)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (+.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (+.f64 #s(literal -1 binary64) 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 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (+.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (+.f64 #s(literal -1 binary64) y))) (-.f64 (*.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 #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 (-.f64 y (*.f64 (exp.f64 z) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (exp.f64 z) y))))) |
(*.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) (fma.f64 (exp.f64 z) y (+.f64 #s(literal -1 binary64) y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 z) y))) (-.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 (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))) #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 (-.f64 y (*.f64 (exp.f64 z) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y (*.f64 (exp.f64 z) y)) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #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) (+.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 z) y)))) |
(*.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 (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 (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) (+.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 z) y)))) |
(*.f64 (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 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (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))) #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))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y)))))) |
(*.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 (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))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y)) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 z) y))))) |
(*.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))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 z) y)))) (+.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 (*.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))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 z) y)))) (+.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 (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))) #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 #s(literal 1 binary64) y) #s(literal 9 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 9 binary64))) (pow.f64 (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))) #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)) (-.f64 (-.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))) #s(literal 1 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 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) 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)) 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))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) 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 (pow.f64 (-.f64 #s(literal 1 binary64) 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 (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 (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 (pow.f64 (-.f64 #s(literal 1 binary64) 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 (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)))))) |
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(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) (-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) (-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x))) (/.f64 (neg.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 2 binary64)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 2 binary64)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) x) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x)))) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) (*.f64 x x))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) (*.f64 x x)))) |
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) t)) |
(fma.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) t) x) |
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x)))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) x) (*.f64 x x)))) |
(+.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) t) x) |
(+.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) t)) |
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) t)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) |
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 1 binary64)) |
(*.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t)) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) #s(literal -1 binary64)) (neg.f64 t)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) #s(literal -1 binary64)) t) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))))) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) (neg.f64 t)) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) #s(literal 1 binary64)) |
(/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) t) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) 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 (*.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)))) 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 (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)))) t)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))) t)) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))))) #s(literal -1 binary64))) |
(log.f64 (pow.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y) |
(*.f64 (neg.f64 (exp.f64 z)) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (exp.f64 z))) |
(*.f64 (neg.f64 y) (neg.f64 (exp.f64 z))) |
(*.f64 (*.f64 (exp.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (exp.f64 z) y) |
(*.f64 y (exp.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (pow.f64 (sinh.f64 z) #s(literal 3 binary64))) y) (fma.f64 (cosh.f64 z) (cosh.f64 z) (*.f64 (sinh.f64 z) (-.f64 (sinh.f64 z) (cosh.f64 z))))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (pow.f64 (sinh.f64 z) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 z) (cosh.f64 z) (*.f64 (sinh.f64 z) (-.f64 (sinh.f64 z) (cosh.f64 z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 z) y) (*.f64 (cosh.f64 z) y)) (*.f64 (*.f64 (sinh.f64 z) y) (*.f64 (sinh.f64 z) y))) (-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (cosh.f64 z)) (*.f64 y (cosh.f64 z))) (*.f64 (*.f64 y (sinh.f64 z)) (*.f64 y (sinh.f64 z)))) (-.f64 (*.f64 y (cosh.f64 z)) (*.f64 y (sinh.f64 z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 z) y) (*.f64 (cosh.f64 z) y) (-.f64 (*.f64 (*.f64 (sinh.f64 z) y) (*.f64 (sinh.f64 z) y)) (*.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (cosh.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sinh.f64 z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (cosh.f64 z)) (*.f64 y (cosh.f64 z)) (-.f64 (*.f64 (*.f64 y (sinh.f64 z)) (*.f64 y (sinh.f64 z))) (*.f64 (*.f64 y (cosh.f64 z)) (*.f64 y (sinh.f64 z)))))) |
(/.f64 y (exp.f64 (neg.f64 z))) |
(neg.f64 (*.f64 (neg.f64 y) (exp.f64 z))) |
(fma.f64 (*.f64 (cosh.f64 z) #s(literal 1 binary64)) y (*.f64 (sinh.f64 z) y)) |
(fma.f64 (*.f64 (sinh.f64 z) #s(literal 1 binary64)) y (*.f64 (cosh.f64 z) y)) |
(fma.f64 (*.f64 (sinh.f64 z) y) #s(literal 1 binary64) (*.f64 (cosh.f64 z) y)) |
(fma.f64 (*.f64 (cosh.f64 z) y) #s(literal 1 binary64) (*.f64 (sinh.f64 z) y)) |
(fma.f64 (sinh.f64 z) y (*.f64 (cosh.f64 z) y)) |
(fma.f64 (cosh.f64 z) y (*.f64 (sinh.f64 z) y)) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (cosh.f64 z)) (*.f64 y (sinh.f64 z))) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (sinh.f64 z)) (*.f64 y (cosh.f64 z))) |
(fma.f64 y (sinh.f64 z) (*.f64 y (cosh.f64 z))) |
(fma.f64 y (cosh.f64 z) (*.f64 y (sinh.f64 z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (sinh.f64 z)) (*.f64 y (cosh.f64 z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (cosh.f64 z)) (*.f64 y (sinh.f64 z))) |
(-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (neg.f64 (sinh.f64 z)) y)) |
(-.f64 (*.f64 y (cosh.f64 z)) (*.f64 (neg.f64 y) (sinh.f64 z))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (exp.f64 z))) |
(+.f64 (neg.f64 (*.f64 (cosh.f64 z) (neg.f64 y))) (neg.f64 (*.f64 (sinh.f64 z) (neg.f64 y)))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 y) (cosh.f64 z))) (neg.f64 (*.f64 (neg.f64 y) (sinh.f64 z)))) |
(+.f64 (*.f64 (sinh.f64 z) y) (*.f64 (cosh.f64 z) y)) |
(+.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y)) |
(+.f64 (*.f64 y (sinh.f64 z)) (*.f64 y (cosh.f64 z))) |
(+.f64 (*.f64 y (cosh.f64 z)) (*.f64 y (sinh.f64 z))) |
Compiled 12 990 to 1 845 computations (85.8% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 365 | 15 | 380 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 366 | 15 | 381 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.6% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x) |
| 84.6% | (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) #s(literal -1 binary64)))) | |
| ▶ | 62.3% | (-.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)) |
| 69.1% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| 31.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| ▶ | 74.3% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| 11.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) | |
| 63.1% | (-.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)) | |
| 88.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| ▶ | 78.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 84.7% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))))) | |
| 62.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) | |
| ▶ | 89.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
| 26.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) | |
| 89.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) #s(literal 1 binary64)))) |
Compiled 586 to 480 computations (18.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 192 | (+.f64 #s(literal -1 binary64) (exp.f64 z)) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (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)))) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 0 | (-.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)) | |
| 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 z y) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| 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 | 38 | 302 |
| 0 | 63 | 294 |
| 1 | 115 | 258 |
| 2 | 267 | 258 |
| 3 | 731 | 257 |
| 4 | 2430 | 257 |
| 0 | 8437 | 249 |
| 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 |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
t |
(-.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 (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)) |
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) |
(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)))) |
#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))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) |
(*.f64 z y) |
z |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))) |
y |
(+.f64 #s(literal -1 binary64) (exp.f64 z)) |
(exp.f64 z) |
z |
x |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) (expm1.f64 z)))) |
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 y t) (expm1.f64 z))) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 z) |
z |
t |
y |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
t |
(-.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 (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 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t)) |
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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t) |
(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)))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) |
#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))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)) |
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) |
(*.f64 z y) |
z |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))) |
(*.f64 (expm1.f64 z) y) |
y |
(+.f64 #s(literal -1 binary64) (exp.f64 z)) |
(expm1.f64 z) |
(exp.f64 z) |
z |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 z) | |
| accuracy | 0.021816259768442016 | (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) | |
| accuracy | 0.5846088693340186 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x) | |
| accuracy | 38.780491157365056 | (+.f64 #s(literal -1 binary64) (exp.f64 z)) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) | |
| accuracy | 4.068906910071228 | (/.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) | |
| accuracy | 18.306278364173085 | #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))) | |
| accuracy | 35.775212934491464 | (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)))) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| accuracy | 4.068906910071228 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) | |
| accuracy | 11.828566255431685 | #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) | |
| accuracy | 35.775212934491464 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| accuracy | 4.068906910071228 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) | |
| accuracy | 25.870305982604727 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) | |
| accuracy | 0.015625 | (/.f64 (expm1.f64 z) t) | |
| accuracy | 3.4902642300519786 | (*.f64 (/.f64 (expm1.f64 z) t) y) | |
| accuracy | 11.756169753384482 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
| 272.0ms | 159× | 1 | valid |
| 116.0ms | 64× | 2 | valid |
| 7.0ms | 32× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 546 to 69 computations (87.4% saved)
ival-log: 213.0ms (59.2% of total)ival-exp: 56.0ms (15.6% of total)adjust: 35.0ms (9.7% of total)ival-mult: 18.0ms (5% of total)ival-add: 10.0ms (2.8% of total)ival-div: 9.0ms (2.5% of total)ival-expm1: 7.0ms (1.9% of total)ival-sub: 6.0ms (1.7% of total)ival-log1p: 5.0ms (1.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 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) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
(-.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 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 (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) |
(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)))) |
#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))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x) |
(+.f64 #s(literal -1 binary64) (exp.f64 z)) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
(exp.f64 z) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -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))) |
(* 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)) |
(* y z) |
1 |
(+ 1 (* y (- (exp z) 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))))))) |
(+ 1 (* y (* z (+ 1 (* 1/2 z))))) |
(- 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 |
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(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (exp z) 1) t) |
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(- (+ 1 (* y (exp z))) y) |
(- (exp z) 1) |
(log (+ 1 (* y (- (exp z) 1)))) |
(* 1/2 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z)))) |
(exp z) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ -1 t) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | 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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- 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 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (+ -1 (exp z)) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (+ (* (+ (* (* z y) 1/2) y) z) 1) (exp z)) |
| 41.0ms | 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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- 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 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (+ -1 (exp z)) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (+ (* (+ (* (* z y) 1/2) y) z) 1) (exp z)) |
| 39.0ms | 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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- 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 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (+ -1 (exp z)) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (+ (* (+ (* (* z y) 1/2) y) z) 1) (exp z)) |
| 29.0ms | 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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- 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 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (+ -1 (exp z)) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (+ (* (+ (* (* z y) 1/2) y) z) 1) (exp z)) |
| 24.0ms | x | @ | 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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- 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 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (+ -1 (exp z)) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (+ (* (+ (* (* z y) 1/2) y) z) 1) (exp z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 515 | 2460 |
| 1 | 1814 | 2266 |
| 2 | 7224 | 2199 |
| 0 | 8314 | 1827 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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x |
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(* 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 (/ (* y z) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(/ z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* 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)))))) |
(+ 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 |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (exp z) 1) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(- (exp z) 1) |
(log (+ 1 (* y (- (exp z) 1)))) |
(* 1/2 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z)))) |
(exp z) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ -1 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)) |
(* -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)) |
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 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) 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 (- (/ (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))) |
(+ 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 (/.f64 (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (expm1.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 (/.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal -1/3 binary64))) t) 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 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (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 (/.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)))) 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 (/.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)))) t) y (/.f64 (expm1.f64 z) t)) y) |
(* 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) |
(* y z) |
(*.f64 z y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(+ 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 (/.f64 (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (expm1.f64 z))) 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 (/.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal -1/3 binary64))) t) y (/.f64 (expm1.f64 z) (neg.f64 t))) y x) |
(+ 1 (* y (* z (+ 1 (* 1/2 z))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64)) |
(- 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 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (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 #s(literal 1/2 binary64) (*.f64 (*.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)) (+.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 (*.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)) (log.f64 y)) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) 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)) (+.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 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) 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 (log.f64 (expm1.f64 z)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) t) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) t)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) (/.f64 (log.f64 y) t)) |
(+ (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 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (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 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (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 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y) |
(+ 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 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) |
(- (+ 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 (-.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) t)) |
(- (+ 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 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.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))) y) t)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) t))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64)) |
(- 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 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) 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 (-.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) t) 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 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)) y))) t) (neg.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 z)) t)) 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 #s(literal -1 binary64) (*.f64 (*.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))) |
(fma.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))) y) t) #s(literal -1 binary64) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) 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))) |
(fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (neg.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 z)) t)) y) #s(literal -1 binary64) (/.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)))) |
(-.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 (log1p.f64 (neg.f64 (exp.f64 z))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (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 #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 (* -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))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (neg.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 z))) y)) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(*.f64 (neg.f64 y) (neg.f64 (expm1.f64 z))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (neg.f64 y) (fma.f64 (expm1.f64 z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) |
(-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)))) t)) |
(+ 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)))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) t)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) 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)))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) (/.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)) |
(+ (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))))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)))) |
(+ (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)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.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) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 z))) y)) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(*.f64 (*.f64 (neg.f64 z) y) (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64))) |
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y)))) |
(*.f64 (neg.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z (/.f64 #s(literal -1 binary64) y))) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #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 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.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)) #s(literal -1/6 binary64)) z)) t) 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 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z 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 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (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) 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 (/.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 #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)))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) t) z (/.f64 y t)) z) |
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y y) t) z) |
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) t) z) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) z) y) z (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y))) t) z (/.f64 y t)) z) |
(/ z t) |
(/.f64 z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(*.f64 (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) z #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 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) t) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t)) 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 #s(literal 1/6 binary64) z) (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 #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)))) z (*.f64 (-.f64 y (*.f64 y 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #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)) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(fma.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (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 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.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)) #s(literal -1/6 binary64)) z)) t) z (/.f64 (neg.f64 y) t)) z x) |
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) |
(+ 1 z) |
(+.f64 z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(/ (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) |
(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)) |
(- (exp z) 1) |
(expm1.f64 z) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(* 1/2 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64)) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z) |
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) y) z)) (*.f64 z z)) |
(exp z) |
(exp.f64 z) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 (+.f64 y (/.f64 #s(literal 1 binary64) z))) (neg.f64 z))) z) z) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (*.f64 (expm1.f64 z) y))) 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 t) |
(/.f64 #s(literal -1 binary64) 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 | 38 | 263 |
| 0 | 63 | 257 |
| 1 | 276 | 220 |
| 2 | 2403 | 220 |
| 0 | 8884 | 212 |
| 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) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
(-.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 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 (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) |
(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)))) |
#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))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x) |
(+.f64 #s(literal -1 binary64) (exp.f64 z)) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
(exp.f64 z) |
| 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)))) |
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(-.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)))) (log.f64 (+.f64 (pow.f64 (*.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 #s(literal 1 binary64) y) y) (exp.f64 z)))))) |
(-.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)))) (log.f64 (fma.f64 (*.f64 (exp.f64 z) y) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y)) (-.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 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 z) y) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 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 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.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 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64)))) |
(+.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)))) (log.f64 (pow.f64 (fma.f64 (*.f64 (exp.f64 z) y) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(log.f64 (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)) |
(fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) |
(*.f64 (exp.f64 z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 z)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (pow.f64 (sinh.f64 z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 z) (cosh.f64 z) (-.f64 (pow.f64 (sinh.f64 z) #s(literal 2 binary64)) (*.f64 (cosh.f64 z) (sinh.f64 z)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 z)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 z)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 z)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 z)))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (pow.f64 (sinh.f64 z) #s(literal 3 binary64))) (fma.f64 (cosh.f64 z) (cosh.f64 z) (-.f64 (pow.f64 (sinh.f64 z) #s(literal 2 binary64)) (*.f64 (cosh.f64 z) (sinh.f64 z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 z))) |
(exp.f64 z) |
(+.f64 (sinh.f64 z) (cosh.f64 z)) |
(+.f64 (cosh.f64 z) (sinh.f64 z)) |
Compiled 19 457 to 2 517 computations (87.1% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 571 | 14 | 585 |
| Fresh | 4 | 6 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 577 | 23 | 600 |
| Status | Accuracy | Program |
|---|---|---|
| 99.1% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) | |
| 99.1% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))))) x) | |
| ▶ | 66.0% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) |
| 71.7% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y #s(approx (+ -1 (exp z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) x) | |
| 78.5% | (fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) | |
| 84.6% | (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) #s(literal -1 binary64)))) | |
| ▶ | 99.2% | (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
| 69.1% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| 20.4% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) | |
| ✓ | 74.3% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| 11.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) | |
| 63.1% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) | |
| 88.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| ✓ | 78.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 84.7% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))))) | |
| ▶ | 62.3% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))) |
| ▶ | 78.5% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
| 78.5% | (-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t))) | |
| 88.6% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y))))) | |
| ✓ | 89.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
| ▶ | 77.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
| 71.4% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) | |
| 26.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 856 to 698 computations (18.5% 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 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #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 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))) | |
| cost-diff | 0 | (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))) | |
| cost-diff | 0 | #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) | |
| 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)) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 367 |
| 0 | 73 | 367 |
| 1 | 130 | 367 |
| 2 | 311 | 325 |
| 3 | 860 | 324 |
| 4 | 2680 | 324 |
| 5 | 7096 | 324 |
| 0 | 8364 | 319 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
t |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y) |
#s(approx (/ (- (exp z) 1) t) (/.f64 z t)) |
(/.f64 z t) |
z |
t |
y |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))) |
#s(literal 1 binary64) |
(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) |
t |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) |
(*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))) |
y |
(+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (exp z) (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
x |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))) |
t |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) |
#s(literal 1/2 binary64) |
(*.f64 z y) |
z |
y |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
x |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (expm1.f64 z) y) |
(*.f64 y (expm1.f64 z)) |
(expm1.f64 z) |
z |
y |
t |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y) |
#s(approx (/ (- (exp z) 1) t) (/.f64 z t)) |
(/.f64 z t) |
z |
t |
y |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) |
#s(literal 1 binary64) |
(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) |
(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) |
t |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) |
(-.f64 x (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) t)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) |
(log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))) |
(fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y)) |
y |
(+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) |
(-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) |
#s(approx (exp z) (+.f64 z #s(literal 1 binary64))) |
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) z) |
z |
#s(literal 1 binary64) |
x |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t)) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t) |
#s(literal 1 binary64) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) |
t |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) |
#s(literal 1/2 binary64) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3271261189857797 | (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))) | |
| accuracy | 3.909388885239877 | (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))) | |
| accuracy | 18.306278364173085 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))) | |
| accuracy | 35.775212934491464 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) | |
| accuracy | 0.021816259768442016 | (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) | |
| accuracy | 0.5846088693340186 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) | |
| accuracy | 21.272925368863564 | #s(approx (exp z) (+.f64 z #s(literal 1 binary64))) | |
| accuracy | 38.780491157365056 | (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) | |
| accuracy | 0.3271261189857797 | (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))) | |
| accuracy | 3.909388885239877 | (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) | |
| accuracy | 25.870305982604727 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) | |
| accuracy | 3.4902642300519786 | (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y) | |
| accuracy | 11.756169753384482 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) | |
| accuracy | 20.884807918691898 | #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) | |
| accuracy | 0 | (expm1.f64 z) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) | |
| accuracy | 0.021816259768442016 | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| accuracy | 4.068906910071228 | (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
| 241.0ms | 217× | 1 | valid |
| 20.0ms | 33× | 0 | valid |
| 7.0ms | 5× | 2 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 656 to 84 computations (87.2% saved)
ival-log: 38.0ms (19.4% of total)ival-sub: 36.0ms (18.4% of total)adjust: 25.0ms (12.8% of total)ival-add: 22.0ms (11.2% of total)ival-exp: 21.0ms (10.7% of total)ival-mult: 20.0ms (10.2% of total)ival-div: 19.0ms (9.7% of total)ival-log1p: 8.0ms (4.1% of total)ival-expm1: 7.0ms (3.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y) |
#s(approx (/ (- (exp z) 1) t) (/.f64 z t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) |
(*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) |
(expm1.f64 z) |
(+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (exp z) (+.f64 z #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))) |
| Outputs |
|---|
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* 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 (- (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)) |
(/ 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) |
(+ 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))))))) |
1 |
(+ 1 (* y (- (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)))) |
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z |
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(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(+ 1 z) |
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(+ 1 (* y z)) |
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(/ (log (+ 1 (* y (- (exp z) 1)))) t) |
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(/ (log (- (+ 1 (* y (exp z))) y)) t) |
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(/ t (log (- (+ 1 (* y (exp z))) y))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (exp z) 1) |
(exp z) |
(- (+ 1 (* y (exp z))) y) |
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ -1 t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | t | @ | inf | ((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ 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)))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (* y (+ -1 (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)))) (- (exp z) 1) (+ -1 (exp z)) (exp z) (+ (- 1 y) (* y (exp z)))) |
| 45.0ms | z | @ | inf | ((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ 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)))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (* y (+ -1 (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)))) (- (exp z) 1) (+ -1 (exp z)) (exp z) (+ (- 1 y) (* y (exp z)))) |
| 44.0ms | z | @ | -inf | ((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ 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)))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (* y (+ -1 (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)))) (- (exp z) 1) (+ -1 (exp z)) (exp z) (+ (- 1 y) (* y (exp z)))) |
| 24.0ms | t | @ | 0 | ((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ 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)))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (* y (+ -1 (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)))) (- (exp z) 1) (+ -1 (exp z)) (exp z) (+ (- 1 y) (* y (exp z)))) |
| 22.0ms | t | @ | -inf | ((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ 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)))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (* y (+ -1 (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)))) (- (exp z) 1) (+ -1 (exp z)) (exp z) (+ (- 1 y) (* y (exp z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 685 | 3814 |
| 1 | 2419 | 3488 |
| 0 | 8533 | 2927 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
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(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* 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 (- (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)) |
(/ 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) |
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(+ 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))))))) |
1 |
(+ 1 (* y (- (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)))) |
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(/ (+ (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)))))) |
(+ (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))))) |
(/ 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))))) |
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(+ 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))))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t)))) |
(- (+ x (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t))) |
(- (+ x (* -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))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t))) |
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2))))) (/ 1 (* t (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3))))) (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2))))) y)) (/ 1 (* t (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) t))) |
(+ (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 (+ (* -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))) |
(/ 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)))))) |
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(+ (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 (- (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)))) |
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(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(+ 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 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))))))))))) |
(* 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 (+ (* 1/2 (/ (* y z) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(/ z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(/ 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) |
(+ 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 |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(/ (log (+ 1 (* y (- (exp z) 1)))) t) |
(log (+ 1 (* y (- (exp z) 1)))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (exp z) 1) t) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (exp z) 1) |
(exp z) |
(- (+ 1 (* y (exp z))) y) |
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ -1 t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
| Outputs |
|---|
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (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)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (neg.f64 t) x)) x x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (neg.f64 t) x)) 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))) |
(+ 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 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) y #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 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y))) t) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x) |
(/ (* y (- (exp z) 1)) t) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (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 (/.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)))) 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 (/.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)))) t) 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) 1)) |
(*.f64 (expm1.f64 z) y) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 z) #s(literal 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)) |
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(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 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 #s(literal -1/4 binary64) (*.f64 (pow.f64 (-.f64 y (*.f64 y y)) #s(literal 2 binary64)) t)) (pow.f64 y #s(literal 3 binary64)))) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) 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) (*.f64 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)) (-.f64 y (*.f64 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 #s(literal -1/4 binary64) (*.f64 (pow.f64 (-.f64 y (*.f64 y y)) #s(literal 2 binary64)) t)) (pow.f64 y #s(literal 3 binary64)))))) z (*.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) y) (/.f64 t y)) #s(literal -1/2 binary64))) z (/.f64 t y)) z) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y))) z (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 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (*.f64 (*.f64 #s(literal -1/6 binary64) z) (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 (/.f64 (neg.f64 y) t)) z x) |
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) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+ 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 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(/ (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) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(- (exp z) 1) |
(expm1.f64 z) |
(exp z) |
(exp.f64 z) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) 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 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) 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 | 44 | 315 |
| 0 | 73 | 307 |
| 1 | 331 | 307 |
| 2 | 2825 | 307 |
| 0 | 8388 | 296 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y) |
#s(approx (/ (- (exp z) 1) t) (/.f64 z t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) |
(*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) |
(expm1.f64 z) |
(+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (exp z) (+.f64 z #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))))) |
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) |
(fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x) |
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(*.f64 (pow.f64 t #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 t #s(literal -1 binary64)) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64)) t) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal -1 binary64))) |
(log.f64 (pow.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 z))) y)) |
(log1p.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 z)) y))) |
(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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) #s(literal 3 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 z)) y))))) |
(-.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 (expm1.f64 z)) y))) |
(-.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)) |
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(/.f64 (-.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) |
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))) |
Compiled 16 683 to 2 089 computations (87.5% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 520 | 11 | 531 |
| Fresh | 6 | 9 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 528 | 26 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| 99.1% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) | |
| 99.1% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))))) x) | |
| ✓ | 66.0% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) |
| 78.5% | (fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x) | |
| 84.6% | (-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) #s(literal -1 binary64)))) | |
| ✓ | 99.2% | (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
| 71.7% | (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) | |
| 69.1% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| 11.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) | |
| 63.1% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) | |
| ▶ | 88.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ✓ | 78.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| ▶ | 99.1% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| ▶ | 69.1% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
| ✓ | 78.5% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
| 73.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) | |
| 84.1% | (-.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)))) | |
| 90.7% | (-.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)))) | |
| 88.6% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y))))) | |
| 78.5% | (-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) | |
| ▶ | 73.9% | (-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
| ▶ | 73.9% | (-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
| ✓ | 89.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
| ✓ | 77.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
| 71.4% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) | |
| 26.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 933 to 759 computations (18.6% 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 y z #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #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 y z #s(literal 1 binary64))))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (*.f64 (expm1.f64 z) y) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(literal -1 binary64) t)) | |
| cost-diff | 0 | (-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) | |
| cost-diff | 128 | (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) | |
| cost-diff | 448 | (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) | |
| cost-diff | 0 | (-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) | |
| cost-diff | 0 | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| cost-diff | 0 | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 359 |
| 0 | 63 | 350 |
| 1 | 117 | 350 |
| 2 | 284 | 284 |
| 3 | 764 | 284 |
| 4 | 2495 | 284 |
| 0 | 8468 | 279 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
#s(literal 1 binary64) |
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
t |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 y (expm1.f64 z)) |
y |
(expm1.f64 z) |
z |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
x |
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
t |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
x |
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) t)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) |
(neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
t |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) |
t |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
(fma.f64 y z #s(literal 1 binary64)) |
y |
z |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
#s(literal 1 binary64) |
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
t |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 y (expm1.f64 z)) |
(*.f64 (expm1.f64 z) y) |
y |
(expm1.f64 z) |
z |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))) |
x |
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
t |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))) |
x |
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fabs.f64 (/.f64 #s(literal -1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 t)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) |
(fabs.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) |
(neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) |
(neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
t |
(-.f64 x (/.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 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 y z #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 y z #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 y z #s(literal 1 binary64)))) |
(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 y z #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 y z #s(literal 1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
y |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3271261189857797 | (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) | |
| accuracy | 3.909388885239877 | (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) | |
| accuracy | 13.4807635864803 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) | |
| accuracy | 35.775212934491464 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) | |
| accuracy | 0 | (expm1.f64 z) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| accuracy | 4.068906910071228 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) | |
| accuracy | 11.77385132828774 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) | |
| accuracy | 0 | (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) | |
| accuracy | 0.0078125 | (-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) | |
| accuracy | 4.190664429608113 | (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) | |
| accuracy | 25.870305982604727 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) | |
| accuracy | 0 | (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) | |
| accuracy | 0.0078125 | (-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) | |
| accuracy | 4.068906910071228 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) | |
| accuracy | 25.870305982604727 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) | |
| accuracy | 0.021816259768442016 | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| accuracy | 0.3271261189857797 | (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) | |
| accuracy | 3.909388885239877 | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 289.0ms | 217× | 1 | valid |
| 8.0ms | 33× | 0 | valid |
| 6.0ms | 5× | 2 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 669 to 74 computations (88.9% saved)
ival-exp: 63.0ms (26.3% of total)ival-mult: 61.0ms (25.5% of total)ival-log: 43.0ms (18% of total)ival-div: 17.0ms (7.1% of total)adjust: 14.0ms (5.9% of total)ival-sub: 13.0ms (5.4% of total)ival-fabs: 11.0ms (4.6% of total)ival-expm1: 7.0ms (2.9% of total)ival-add: 4.0ms (1.7% of total)ival-log1p: 4.0ms (1.7% of total)ival-neg: 2.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) |
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(/.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 x (/.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 (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)))) |
(expm1.f64 z) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
| Outputs |
|---|
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(- x (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(* -1 (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t)))) |
(- x (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t)))) |
(* -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) 1)))) (* t x))))) |
(* x (+ 1 (* -1 (/ (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)) x)))) |
(* x (+ 1 (* -1 (/ (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))) x)))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(* -1 (* x (- (/ (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)) x) 1))) |
(* -1 (* x (- (/ (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))) x) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(/ (* 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))) |
(+ 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)))) |
(/ 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 (- (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)) |
(fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))) |
(fabs (neg (log (- (+ 1 (* y (exp z))) y)))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(/ (+ (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)))))) |
(- 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))))) |
(/ 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))))))) |
(+ (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)) |
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2))))) (/ 1 (* t (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3))))) (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2))))) y)) (/ 1 (* t (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) t))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t)))) |
(- (+ x (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t))) |
(- (+ x (* -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))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t))) |
(/ t (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y))))) |
(+ (* -1 (/ t (* y (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 2) (- (exp z) 1))))) (/ t (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (- (+ (* -1 (/ t (* y (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 3) (pow (- (exp z) 1) 2))))) (* -1/2 (/ t (* y (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 2) (pow (- (exp z) 1) 2)))))) (* -1 (/ t (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 2) (- (exp z) 1))))) y)) (/ t (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ t (* y (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 3) (pow (- (exp z) 1) 3))))) (+ (* -1 (/ t (* y (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 4) (pow (- (exp z) 1) 3))))) (* -1/3 (/ t (* y (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 2) (pow (- (exp z) 1) 3))))))) (+ (* -1 (/ t (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 3) (pow (- (exp z) 1) 2)))) (* -1/2 (/ t (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 2) (pow (- (exp z) 1) 2)))))) y)) (* -1 (/ t (* (pow (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) 2) (- (exp z) 1))))) y)) (/ t (+ (log (* -1 (- (exp z) 1))) (* -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 (fabs (/ (log (+ 1 (+ (* -1 y) (* y (exp z))))) t))) |
(fabs (/ (log (+ 1 (+ (* -1 y) (* y (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))) |
(+ (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)))) |
(* (fabs (neg (log (+ 1 (+ (* -1 y) (* y (exp z))))))) (fabs (/ -1 t))) |
(fabs (neg (log (+ 1 (+ (* -1 y) (* y (exp z))))))) |
(- x (* (fabs (neg (log (+ 1 (+ (* -1 y) (* y (exp z))))))) (fabs (/ -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))) |
(/ 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)))))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(/ (* 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))) |
(+ 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)))) |
(/ 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) |
(* 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))))))))))) |
(* 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))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(/ (log (+ 1 (* y (- (exp z) 1)))) t) |
(/ t (log (+ 1 (* y (- (exp z) 1))))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(- (exp z) 1) |
(- (+ 1 (* y (exp z))) y) |
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t) |
(fabs (/ -1 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 91.0ms | z | @ | inf | ((/ 1 (/ t (log (+ 1 (* y (- (exp z) 1)))))) (- x (/ 1 (/ t (log (+ 1 (* y (- (exp z) 1))))))) (/ t (log (+ 1 (* y (- (exp z) 1))))) (log (+ 1 (* y (- (exp z) 1)))) (- x (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t))) (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z))))))) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))) (- x (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))))) (fabs (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (/ 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)))) (- (exp z) 1) (+ (- 1 y) (* y (exp z)))) |
| 22.0ms | t | @ | inf | ((/ 1 (/ t (log (+ 1 (* y (- (exp z) 1)))))) (- x (/ 1 (/ t (log (+ 1 (* y (- (exp z) 1))))))) (/ t (log (+ 1 (* y (- (exp z) 1))))) (log (+ 1 (* y (- (exp z) 1)))) (- x (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t))) (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z))))))) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))) (- x (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))))) (fabs (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (/ 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)))) (- (exp z) 1) (+ (- 1 y) (* y (exp z)))) |
| 22.0ms | t | @ | -inf | ((/ 1 (/ t (log (+ 1 (* y (- (exp z) 1)))))) (- x (/ 1 (/ t (log (+ 1 (* y (- (exp z) 1))))))) (/ t (log (+ 1 (* y (- (exp z) 1))))) (log (+ 1 (* y (- (exp z) 1)))) (- x (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t))) (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z))))))) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))) (- x (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))))) (fabs (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (/ 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)))) (- (exp z) 1) (+ (- 1 y) (* y (exp z)))) |
| 18.0ms | z | @ | -inf | ((/ 1 (/ t (log (+ 1 (* y (- (exp z) 1)))))) (- x (/ 1 (/ t (log (+ 1 (* y (- (exp z) 1))))))) (/ t (log (+ 1 (* y (- (exp z) 1))))) (log (+ 1 (* y (- (exp z) 1)))) (- x (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t))) (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z))))))) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))) (- x (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))))) (fabs (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (/ 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)))) (- (exp z) 1) (+ (- 1 y) (* y (exp z)))) |
| 18.0ms | t | @ | 0 | ((/ 1 (/ t (log (+ 1 (* y (- (exp z) 1)))))) (- x (/ 1 (/ t (log (+ 1 (* y (- (exp z) 1))))))) (/ t (log (+ 1 (* y (- (exp z) 1))))) (log (+ 1 (* y (- (exp z) 1)))) (- x (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t))) (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z))))))) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))) (- x (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))))) (fabs (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (/ 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)))) (- (exp z) 1) (+ (- 1 y) (* y (exp z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 689 | 3827 |
| 1 | 2358 | 3508 |
| 0 | 8790 | 2927 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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x |
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(+ 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)))) |
(/ 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) |
(* 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))))))))))) |
(* 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))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(/ (log (+ 1 (* y (- (exp z) 1)))) t) |
(/ t (log (+ 1 (* y (- (exp z) 1))))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(- (exp z) 1) |
(- (+ 1 (* y (exp z))) y) |
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t) |
(fabs (/ -1 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
| Outputs |
|---|
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(neg.f64 (fabs.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(- x (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (fabs.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(* -1 (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t)))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 t))) (fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(- x (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t)))) |
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 t)) (fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(* -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) 1)))) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)) x)))) |
(fma.f64 (/.f64 (fabs.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (neg.f64 x)) x x) |
(* x (+ 1 (* -1 (/ (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))) x)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 t)) (fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (neg.f64 x)) x x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) #s(literal 1 binary64))) |
(* -1 (* x (- (/ (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)) x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fabs.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (/ (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 t)) x) #s(literal -1 binary64))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) #s(literal 1 binary64))) |
(/ (* y (- (exp z) 1)) t) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.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 (/.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 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 (/.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))) t) 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) |
(+ 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 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #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 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t))) y (/.f64 #s(literal 1 binary64) t)) (/.f64 (exp.f64 z) t)) y x) |
(/ 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 y t) #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 (- (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 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #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) |
(fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(fabs.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 t)) (fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(fabs (neg (log (- (+ 1 (* y (exp z))) y)))) |
(fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(/ (+ (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 (log.f64 y) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y))) |
(- (+ (* -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 (log.f64 y) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) 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 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.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)) (/ (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) t) y))) |
(- (+ 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 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y)))) |
(- (+ 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 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) t) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))) |
(/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))) |
(/.f64 t (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) |
(+ (* -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)))))) |
(-.f64 (/.f64 t (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (/.f64 (/.f64 t y) (*.f64 (pow.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) #s(literal 2 binary64)) (expm1.f64 z)))) |
(- (+ (* -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))))) |
(-.f64 (-.f64 (/.f64 t (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) #s(literal 2 binary64))) (/.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 (neg.f64 t) (*.f64 (pow.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) (*.f64 y y))) (/.f64 (/.f64 t y) (*.f64 (pow.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) #s(literal 2 binary64)) (expm1.f64 z)))) |
(- (+ (* -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))))))) |
(-.f64 (-.f64 (/.f64 t (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) #s(literal 2 binary64))) (/.f64 t (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) t) (pow.f64 (*.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (expm1.f64 z)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) #s(literal 2 binary64))) (/.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 (neg.f64 t) (*.f64 (pow.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) (*.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (expm1.f64 z)))) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (pow.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) #s(literal 2 binary64)))) (/.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 t y) (*.f64 (pow.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) #s(literal 2 binary64)) (expm1.f64 z)))) (/.f64 (/.f64 t (*.f64 y y)) (*.f64 (pow.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) |
(+ (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 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (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)))) |
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(-.f64 (/.f64 t (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 (expm1.f64 z))) #s(literal 3 binary64))) (/.f64 t y) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64))) y))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64))) (/.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 (neg.f64 (/.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64)))) (*.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64))) (/.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 (neg.f64 (/.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))))) (neg.f64 y)) (/.f64 (/.f64 t (neg.f64 (expm1.f64 z))) (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)))) y)) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(*.f64 (expm1.f64 z) y) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (fma.f64 (expm1.f64 z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)) |
(/ (* y z) t) |
(/.f64 (*.f64 z y) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) 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 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (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))) 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 (/.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))) t) z (*.f64 (/.f64 (fma.f64 (neg.f64 y) y y) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(+ x (* -1 (/ (* y z) t))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (fma.f64 (neg.f64 y) 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 #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) |
(/ t (* y z)) |
(/.f64 (/.f64 t 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 (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 (neg.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 #s(literal -1/4 binary64) (*.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) t)) (pow.f64 y #s(literal 3 binary64)))) z (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (fma.f64 (neg.f64 y) y y) t) 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 #s(literal -1/4 binary64) (*.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) t)) (pow.f64 y #s(literal 3 binary64)))) y) (fma.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))) (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.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) t) y)))) 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 #s(literal -1/4 binary64) (*.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) t)) (pow.f64 y #s(literal 3 binary64)))))) z (*.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 y) y y) y) (/.f64 t y)) #s(literal -1/2 binary64))) z (/.f64 t y)) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) 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 #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) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.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 z y) (*.f64 #s(literal 1/6 binary64) y)) 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) |
(+ 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 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ t (log (+ 1 (* y (- (exp z) 1))))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(- (exp z) 1) |
(expm1.f64 z) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(fabs (/ -1 t)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) 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 | 38 | 290 |
| 0 | 63 | 271 |
| 1 | 272 | 271 |
| 2 | 2340 | 268 |
| 0 | 9062 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) |
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(/.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 x (/.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 (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)))) |
(expm1.f64 z) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (fabs.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (fabs.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (pow.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1 binary64)) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
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(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) x) (*.f64 x x)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(+.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))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 t #s(literal 1 binary64))) |
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 t #s(literal 1 binary64))) |
(*.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) #s(literal -1 binary64)) t) |
(*.f64 (*.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 t #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 t) (pow.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) |
(*.f64 t (/.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #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 z y #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 z y #s(literal 1 binary64)))))) |
(pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) #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))))) |
(/.f64 (*.f64 t #s(literal 1 binary64)) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #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 z y #s(literal 1 binary64))))))) |
(/.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 t) (*.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 t) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) |
(/.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (neg.f64 t))) |
(/.f64 t (*.f64 (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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(neg.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.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)))) |
(*.f64 (expm1.f64 (+.f64 z z)) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (expm1.f64 (+.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (expm1.f64 (*.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 z z))) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) |
(/.f64 (expm1.f64 (+.f64 z z)) (-.f64 (exp.f64 z) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (+.f64 z z)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) #s(literal -1 binary64))))) |
(/.f64 (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 binary64) (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (expm1.f64 (+.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (expm1.f64 (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (exp.f64 z) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 z) #s(literal -1 binary64)) |
(expm1.f64 z) |
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #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 (exp.f64 z) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 z) (-.f64 (sinh.f64 z) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 z) (+.f64 (sinh.f64 z) #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) (exp.f64 z)) |
(+.f64 (exp.f64 z) #s(literal -1 binary64)) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
Compiled 17 623 to 2 466 computations (86% saved)
33 alts after pruning (24 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 609 | 13 | 622 |
| Fresh | 4 | 11 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 615 | 33 | 648 |
| Status | Accuracy | Program |
|---|---|---|
| 99.1% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) | |
| 99.1% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))))) x) | |
| 69.1% | (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) | |
| 78.5% | (fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x) | |
| 45.4% | (-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))) | |
| 42.0% | (-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t)))) | |
| 73.0% | (-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t))) | |
| ✓ | 99.2% | (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
| 71.7% | (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) | |
| 69.1% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| 11.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) | |
| 63.1% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) | |
| ✓ | 88.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ✓ | 78.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| ✓ | 99.1% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| ✓ | 69.1% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
| 88.6% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) | |
| ✓ | 78.5% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
| 63.1% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z))))) | |
| 99.1% | (-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)) t))) | |
| 73.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) | |
| 84.1% | (-.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)))) | |
| 90.7% | (-.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)))) | |
| 61.4% | (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) | |
| 78.5% | (-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) | |
| 59.1% | (-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)))) | |
| 46.4% | (-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))) | |
| 73.0% | (-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) | |
| ✓ | 73.9% | (-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
| ✓ | 89.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
| ✓ | 77.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
| 71.4% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) | |
| 26.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 1 897 to 829 computations (56.3% saved)
| Inputs |
|---|
(-.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(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x) |
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.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)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))) |
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)))) |
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t)))) |
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z 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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) 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 (/.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 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x (/.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 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y #s(approx (+ -1 (exp z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 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)))) |
#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)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(-.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 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)) t))) |
(-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))))) x) |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
9 calls:
| 49.0ms | z |
| 31.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 15.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 14.0ms | t |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | y |
| 99.2% | 1 | z |
| 99.2% | 1 | t |
| 99.2% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 99.2% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 99.2% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 99.2% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 99.2% | 1 | (exp.f64 z) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.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(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x) |
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.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)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))) |
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)))) |
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t)))) |
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z 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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) 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 (/.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 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x (/.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 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y #s(approx (+ -1 (exp z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 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)))) |
#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)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) 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)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
9 calls:
| 43.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 40.0ms | y |
| 23.0ms | (exp.f64 z) |
| 11.0ms | t |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 1 | x |
| 95.0% | 3 | y |
| 94.5% | 2 | z |
| 92.9% | 2 | t |
| 94.9% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 98.8% | 5 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 99.3% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 99.3% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 94.5% | 2 | (exp.f64 z) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.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(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x) |
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.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)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))) |
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)))) |
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t)))) |
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z 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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) 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 (/.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 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x (/.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 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y #s(approx (+ -1 (exp z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 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)))) |
#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 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) 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))) |
2 calls:
| 27.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 9.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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))) |
Compiled 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
(-.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(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x) |
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.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)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))) |
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)))) |
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t)))) |
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z 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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) 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 (/.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 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x (/.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 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y #s(approx (+ -1 (exp z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 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)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) 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)))) |
2 calls:
| 25.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 9.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 94.9% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
(-.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(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x) |
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.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)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))) |
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)))) |
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t)))) |
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z 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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) 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 (/.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 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x (/.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 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y #s(approx (+ -1 (exp z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))) |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
8 calls:
| 107.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 23.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 11.0ms | t |
| 11.0ms | y |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 2 | t |
| 91.4% | 2 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 91.6% | 2 | y |
| 91.4% | 2 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 92.4% | 2 | z |
| 92.4% | 2 | (exp.f64 z) |
| 92.8% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 92.8% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 46 to 59 computations (-28.3% saved)
| Inputs |
|---|
(-.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(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x) |
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.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)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))) |
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)))) |
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t)))) |
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z 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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) 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 (/.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 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
| Outputs |
|---|
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
9 calls:
| 56.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 21.0ms | x |
| 21.0ms | (exp.f64 z) |
| 19.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 2 | t |
| 89.5% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 89.5% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 89.5% | 1 | y |
| 89.5% | 1 | x |
| 89.5% | 1 | z |
| 89.5% | 1 | (exp.f64 z) |
| 89.5% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 89.5% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.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(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x) |
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.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)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))) |
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)))) |
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t)))) |
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z 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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| Outputs |
|---|
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
9 calls:
| 49.0ms | y |
| 24.0ms | z |
| 21.0ms | t |
| 7.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 1 | x |
| 87.3% | 2 | z |
| 84.1% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 86.9% | 2 | (exp.f64 z) |
| 84.1% | 1 | y |
| 84.1% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 86.9% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 86.9% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 84.1% | 1 | t |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.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(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x) |
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t))) |
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.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)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z))))) |
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))) |
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))) |
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)))) |
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t)))) |
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
9 calls:
| 14.0ms | z |
| 9.0ms | x |
| 9.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 7.0ms | y |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 1 | x |
| 78.5% | 1 | y |
| 78.5% | 1 | t |
| 78.5% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 78.5% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 78.5% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 78.5% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 78.5% | 1 | (exp.f64 z) |
| 78.5% | 1 | z |
Compiled 47 to 63 computations (-34% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
9 calls:
| 2.0ms | t |
| 1.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 77.9% | 1 | z |
| 77.9% | 1 | t |
| 77.9% | 1 | x |
| 77.9% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 77.9% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 77.9% | 1 | y |
| 77.9% | 1 | (exp.f64 z) |
| 77.9% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
Compiled 47 to 63 computations (-34% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0 | 4.6650822593691945 |
| 0.0ms | 0.0 | 0.9999999999011959 |
Compiled 16 to 19 computations (-18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3663841903402214e+154 | 2.794720723681421e+155 |
| 0.0ms | 0.0 | 0.9999999999011959 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999999011959 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999999011959 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | -1.3957473219678812e-40 | -3.0517385279890006e-41 |
| 22.0ms | 59× | 1 | valid |
| 6.0ms | 37× | 0 | valid |
Compiled 352 to 277 computations (21.3% saved)
ival-log: 7.0ms (29.2% of total)ival-exp: 5.0ms (20.9% of total)ival-add: 4.0ms (16.7% of total)ival-div: 3.0ms (12.5% of total)ival-sub: 2.0ms (8.4% of total)adjust: 2.0ms (8.4% of total)ival-mult: 1.0ms (4.2% 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 |
|---|---|---|
| 73.0ms | -7.475778958675026e-34 | -2.879601609122589e-41 |
| 56.0ms | 98× | 1 | valid |
| 5.0ms | 19× | 1 | invalid |
| 4.0ms | 46× | 0 | valid |
Compiled 574 to 424 computations (26.1% saved)
ival-sub: 20.0ms (34.1% of total)ival-log: 19.0ms (32.4% of total)ival-exp: 11.0ms (18.7% of total)adjust: 3.0ms (5.1% of total)ival-div: 2.0ms (3.4% of total)ival-mult: 2.0ms (3.4% of total)ival-add: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 457 |
| 1 | 131 | 457 |
| 2 | 194 | 457 |
| 3 | 276 | 457 |
| 4 | 484 | 457 |
| 5 | 818 | 457 |
| 6 | 1097 | 457 |
| 7 | 1244 | 457 |
| 8 | 1377 | 457 |
| 9 | 1443 | 457 |
| 10 | 1475 | 457 |
| 11 | 1501 | 457 |
| 12 | 1525 | 457 |
| 13 | 1533 | 457 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 4 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)))) (-.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 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 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)))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) 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))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))) |
(if (<=.f64 t #s(literal -7454058310771683/196159429230833773869868419475239575503198607639501078528 binary64)) (-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))) |
(if (<=.f64 z #s(literal -1915619426082361/11972621413014756705924586149611790497021399392059392 binary64)) (-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 4 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)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4 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)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 y (expm1.f64 z)))) t)))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 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)))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 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)))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) 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))))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) 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))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))) |
(if (<=.f64 t #s(literal -7454058310771683/196159429230833773869868419475239575503198607639501078528 binary64)) (-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))) |
(if (<=.f64 z #s(literal -1915619426082361/11972621413014756705924586149611790497021399392059392 binary64)) (-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 685 | 3814 |
| 1 | 2419 | 3488 |
| 0 | 8533 | 2927 |
| 0 | 12 | 45 |
| 0 | 19 | 45 |
| 1 | 79 | 45 |
| 2 | 675 | 45 |
| 0 | 8449 | 38 |
| 0 | 335 | 1589 |
| 1 | 1136 | 1462 |
| 2 | 4524 | 1410 |
| 0 | 8380 | 1175 |
| 0 | 515 | 2460 |
| 1 | 1814 | 2266 |
| 2 | 7224 | 2199 |
| 0 | 8314 | 1827 |
| 0 | 38 | 263 |
| 0 | 63 | 257 |
| 1 | 276 | 220 |
| 2 | 2403 | 220 |
| 0 | 8884 | 212 |
| 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× | iter limit |
| 1× | node limit |
Compiled 890 to 436 computations (51% saved)
Compiled 1 022 to 256 computations (75% saved)
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