
Time bar (total: 14.2s)
| 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)
| 2.2s | 4 695× | 1 | valid |
| 1.8s | 1 629× | 5 | exit |
| 488.0ms | 3 561× | 0 | valid |
| 273.0ms | 669× | 1 | invalid |
| 154.0ms | 1 800× | 0 | invalid |
ival-log: 1.5s (35.7% of total)adjust: 830.0ms (20.2% of total)ival-exp: 752.0ms (18.3% of total)ival-sub: 319.0ms (7.8% of total)ival-mult: 295.0ms (7.2% of total)ival-div: 285.0ms (7% of total)ival-add: 130.0ms (3.2% of total)ival-true: 10.0ms (0.2% of total)exact: 9.0ms (0.2% of total)ival-assert: 6.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 160 | 36 | (-7.496788759739101e+124 2.5259929352823473e-286 -4.197733129483661e-65 2.5531567282611882e+44) | 0 | - | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 76 | 1 | (-3.97375591534112e-120 4016905382013391.5 6.788556817791979e-116 2.484162102521649e+86) | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 12 | 0 | - | 1 | (2.0672893980528395e-144 -3.822767246376408e-50 2.5160340943205344e-267 5.0461248809773845e-170) | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 1 | 0 | - | 0 | - | (*.f64 y (exp.f64 z)) |
| 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 | - | 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 | 196 | 0 |
+.f64 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | cancellation | 29 | 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 | 81 | |
| ↳ | (*.f64 y (exp.f64 z)) | underflow | 81 | |
| ↳ | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | underflow | 35 | |
*.f64 | (*.f64 y (exp.f64 z)) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 105 | 12 |
| - | 111 | 28 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 105 | 0 | 12 |
| - | 111 | 0 | 28 |
| number | freq |
|---|---|
| 0 | 40 |
| 1 | 203 |
| 2 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 149.0ms | 358× | 1 | valid |
| 59.0ms | 96× | 2 | valid |
| 5.0ms | 56× | 0 | valid |
| 2.0ms | 2× | 3 | valid |
Compiled 127 to 40 computations (68.5% saved)
ival-log: 69.0ms (38% of total)ival-exp: 49.0ms (27% of total)adjust: 22.0ms (12.1% of total)ival-sub: 20.0ms (11% of total)ival-div: 8.0ms (4.4% of total)ival-mult: 6.0ms (3.3% of total)ival-add: 5.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 194 |
| 1 | 137 | 194 |
| 2 | 356 | 192 |
| 3 | 1190 | 190 |
| 4 | 4104 | 190 |
| 0 | 12 | 13 |
| 0 | 19 | 13 |
| 1 | 31 | 13 |
| 2 | 63 | 13 |
| 3 | 183 | 13 |
| 4 | 544 | 13 |
| 5 | 3234 | 13 |
| 6 | 7960 | 13 |
| 0 | 8058 | 11 |
| 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 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) t)) |
Compiled 13 to 12 computations (7.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.7% | (-.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)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) | |
| cost-diff | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | |
| cost-diff | 1 | (log.f64 (+.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 | 31 | 55 |
| 2 | 63 | 55 |
| 3 | 183 | 55 |
| 4 | 544 | 55 |
| 5 | 3234 | 55 |
| 6 | 7960 | 55 |
| 0 | 8058 | 48 |
| 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 (+.f64 #s(literal -1 binary64) (exp.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 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) t) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) |
(-.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 | 0.23869877330989958 | (*.f64 y (exp.f64 z)) | |
| accuracy | 2.493411556845621 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | |
| accuracy | 18.04964577923603 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | |
| accuracy | 36.44312023887389 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 88.0ms | 179× | 1 | valid |
| 64.0ms | 48× | 2 | valid |
| 3.0ms | 28× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 57 to 14 computations (75.4% saved)
ival-exp: 56.0ms (40.3% of total)ival-log: 42.0ms (30.2% of total)adjust: 25.0ms (18% of total)ival-sub: 6.0ms (4.3% of total)ival-div: 4.0ms (2.9% of total)ival-mult: 3.0ms (2.2% of total)ival-add: 3.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(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 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))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 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)) |
(+ (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)) |
(- 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)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(- 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))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ 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)))))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 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 | |
|---|---|---|---|---|
| 54.0ms | t | @ | 0 | ((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) (* y (exp z))) |
| 44.0ms | t | @ | inf | ((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) (* y (exp z))) |
| 35.0ms | z | @ | inf | ((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) (* y (exp z))) |
| 31.0ms | x | @ | 0 | ((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) (* y (exp z))) |
| 23.0ms | z | @ | -inf | ((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) (* y (exp z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 1597 |
| 1 | 1079 | 1468 |
| 2 | 4058 | 1425 |
| 0 | 9154 | 1220 |
| 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))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 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)) |
(+ (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)) |
(- 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)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(- 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))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ 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)))))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 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 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) 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 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #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 #s(literal -1/2 binary64) y) (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)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 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 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.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)) y (expm1.f64 z)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(+ 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 (/.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 #s(literal 1 binary64) t)) (/.f64 (exp.f64 z) t)) y x) |
(/ (* y (- (exp z) 1)) t) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (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 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 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 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.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)) t) y (/.f64 (expm1.f64 z) t)) y) |
(* y (exp z)) |
(*.f64 (exp.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)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) 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 x (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) y) y)) (/.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 x (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) y) y)) (+.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))) |
(/ (+ (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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) |
(- (+ (* -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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (expm1.f64 z) #s(literal 2 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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.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 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))) 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)) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) (/.f64 #s(literal 1 binary64) y))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) y) t)) x) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (+ (/ 1/2 (* 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 (/.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 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)) y))) t) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.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 (-.f64 #s(literal 1 binary64) (exp.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 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) #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)) (-.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) #s(literal -1 binary64) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(* 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 (fma.f64 y y (neg.f64 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 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.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)) |
(+ 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 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(fma.f64 (-.f64 (*.f64 (/.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))) t) z) (/.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 (fma.f64 y y (neg.f64 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 (fma.f64 y y (neg.f64 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) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(- (+ 1 (* y (exp z))) y) |
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 0 | 19 | 45 |
| 1 | 72 | 45 |
| 2 | 528 | 45 |
| 3 | 7195 | 45 |
| 0 | 8155 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 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 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))) (log.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 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))) |
(/.f64 (-.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)))) (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))))) (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))) (log.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))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (*.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))))) |
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.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 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (fma.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 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 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))))) |
(neg.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64)))) (log1p.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y))) |
(-.f64 (log.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)))) (log.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 3 binary64)))) (log1p.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64))))) |
(-.f64 (log.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))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))) |
(-.f64 (log.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))))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 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 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))) |
(-.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 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) |
(+.f64 (log.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))))) (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))))) |
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 2 binary64))))) (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y))))) |
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64))))) (log.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (-.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))))) |
(+.f64 (log.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))))) (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (/.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (-.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) |
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(fma.f64 x (/.f64 x (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (*.f64 x x)))) |
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x))) |
(/.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))) (neg.f64 t)) |
(/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) |
(neg.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) (neg.f64 t))) |
(-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t)) |
(-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)) |
(*.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (exp.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (exp.f64 z) y) |
(*.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 z))) |
(*.f64 y (exp.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64))) y) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z)))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 z 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 (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 y (exp.f64 (neg.f64 z))) |
(neg.f64 (*.f64 (neg.f64 y) (exp.f64 z))) |
(fma.f64 (*.f64 (sinh.f64 z) #s(literal 1 binary64)) y (*.f64 (cosh.f64 z) y)) |
(fma.f64 (*.f64 (cosh.f64 z) #s(literal 1 binary64)) y (*.f64 (sinh.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) (sinh.f64 z)) (*.f64 (cosh.f64 z) y)) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (cosh.f64 z)) (*.f64 (sinh.f64 z) y)) |
(fma.f64 y (sinh.f64 z) (*.f64 (cosh.f64 z) y)) |
(fma.f64 y (cosh.f64 z) (*.f64 (sinh.f64 z) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 z) y) (*.f64 (cosh.f64 z) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y)) |
(-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 (neg.f64 z)) y)) |
(-.f64 (*.f64 (cosh.f64 z) y) (*.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)) |
Compiled 10 145 to 1 411 computations (86.1% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 239 | 15 | 254 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 240 | 15 | 255 |
| Status | Accuracy | Program |
|---|---|---|
| 62.5% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)) | |
| 65.3% | (-.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)) | |
| ▶ | 82.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
| ▶ | 70.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| 69.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| 14.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) | |
| 52.4% | (-.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)) | |
| 82.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| ▶ | 69.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 54.0% | (-.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))) | |
| ▶ | 83.6% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
| 19.0% | (*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (-.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x))) | |
| ▶ | 54.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
| 17.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))) | |
| 79.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))) |
Compiled 756 to 542 computations (28.3% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) | |
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) | |
| cost-diff | 1 | (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) | |
| 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 | 41 | 361 |
| 0 | 66 | 361 |
| 1 | 100 | 361 |
| 2 | 193 | 361 |
| 3 | 483 | 361 |
| 4 | 1417 | 361 |
| 5 | 6001 | 361 |
| 0 | 8996 | 337 |
| 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 |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x) |
(-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) |
(*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) |
(*.f64 (-.f64 y (*.f64 y y)) z) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
z |
t |
#s(literal -1/2 binary64) |
(/.f64 y t) |
x |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
#s(literal 1 binary64) |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(expm1.f64 z) |
z |
y |
#s(literal 1 binary64) |
t |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 z) |
z |
t |
y |
(-.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 |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) t) (*.f64 z y)) (/.f64 y t)) z x)) |
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x) |
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) t) (*.f64 z y)) (/.f64 y t)) z x) |
(-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) |
(-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) t) (*.f64 z y)) (/.f64 y t)) |
(*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) t) (*.f64 z y)) |
(/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) |
(*.f64 (-.f64 y (*.f64 y y)) z) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
z |
t |
#s(literal -1/2 binary64) |
(/.f64 y t) |
x |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
#s(literal 1 binary64) |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(expm1.f64 z) |
z |
y |
#s(literal 1 binary64) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) | |
| accuracy | 0.23479252330989958 | (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) | |
| accuracy | 2.493411556845621 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) | |
| accuracy | 36.44312023887389 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| accuracy | 2.493411556845621 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) | |
| accuracy | 13.844657622498579 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 36.44312023887389 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) | |
| accuracy | 3.644468724248357 | (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) | |
| accuracy | 5.253879415792676 | (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) | |
| accuracy | 6.191764939134571 | (*.f64 (-.f64 y (*.f64 y y)) z) | |
| accuracy | 24.108280451393888 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) | |
| accuracy | 0.0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 2.493411556845621 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) | |
| accuracy | 27.874529438476962 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) | |
| accuracy | 0.0 | (expm1.f64 z) | |
| accuracy | 0.24286120014329166 | (/.f64 (expm1.f64 z) t) | |
| accuracy | 2.5891367934685197 | (*.f64 (/.f64 (expm1.f64 z) t) y) | |
| accuracy | 14.486061604728148 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
| 150.0ms | 179× | 1 | valid |
| 42.0ms | 48× | 2 | valid |
| 42.0ms | 1× | 3 | valid |
| 6.0ms | 28× | 0 | valid |
Compiled 287 to 31 computations (89.2% saved)
adjust: 67.0ms (33% of total)ival-mult: 35.0ms (17.2% of total)ival-log: 31.0ms (15.3% of total)ival-add: 30.0ms (14.8% of total)ival-exp: 17.0ms (8.4% of total)ival-div: 11.0ms (5.4% of total)ival-sub: 9.0ms (4.4% of total)ival-expm1: 2.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x #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 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x) |
(-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
(expm1.f64 z) |
(*.f64 (-.f64 y (*.f64 y y)) z) |
(/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) |
(+ x (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ 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)) |
(* y z) |
(* -1/2 (/ (* y z) t)) |
(* y (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t)))) |
(+ x (* y (* z (- (* -1/2 (/ z t)) (/ 1 t))))) |
(+ x (* y (+ (* 1/2 (/ (* y (pow z 2)) t)) (* z (- (* -1/2 (/ z t)) (/ 1 t)))))) |
(* y (- (* -1/2 (/ z t)) (/ 1 t))) |
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(* y (+ z (* -1 (* y z)))) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* y z) t)) (/ z t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (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))))) |
(* 1/2 (/ (* (pow y 2) z) t)) |
(* (pow y 2) (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t)))) |
(* 1/2 (/ (* (pow y 2) (pow z 2)) t)) |
(* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y))) |
(* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (+ (/ x (pow y 2)) (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y)))) |
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t y)))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* -1 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 z) (/ z y))) |
(* -1 (/ (* (pow y 2) z) t)) |
(* (pow y 2) (+ (* -1 (/ z t)) (/ z (* t 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))) |
(+ (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)))) |
(* (pow y 2) (+ (* -1 (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y)) (* 1/2 (/ (pow z 2) t)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* z (+ (* 1/2 (/ z t)) (/ 1 t)))) y)) (* 1/2 (/ (pow z 2) t)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- (exp z) 1)) (/ 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)))) |
(* 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))))))))))) |
(* -1/2 (/ (* z (- y (pow y 2))) t)) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t))))) |
(* -1 (/ y t)) |
(- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
z |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(* z (- y (pow y 2))) |
(/ (* z (- y (pow y 2))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (exp z) 1) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(* -1/2 (/ (* (pow z 2) (- y (pow y 2))) t)) |
(* (pow z 2) (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(* (pow z 2) (- (+ (* -1/2 (/ (- y (pow y 2)) t)) (/ x (pow z 2))) (/ y (* t z)))) |
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(- (+ 1 (* y (exp z))) y) |
(- (exp z) 1) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x z)) (/ y t)) z)) (* -1/2 (/ (- y (pow y 2)) t)))) |
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t) |
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t) |
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)) |
(+ x (* -1 (/ (* z (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y))) t))) |
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | 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) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- (exp z) 1) (* (- y (* y y)) z) (/ (* (- y (* y y)) z) t) (+ (* (- (exp z) 1) y) 1)) |
| 21.0ms | y | @ | 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) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- (exp z) 1) (* (- y (* y y)) z) (/ (* (- y (* y y)) z) t) (+ (* (- (exp z) 1) y) 1)) |
| 15.0ms | y | @ | -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) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- (exp z) 1) (* (- y (* y y)) z) (/ (* (- y (* y y)) z) t) (+ (* (- (exp z) 1) y) 1)) |
| 12.0ms | 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) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- (exp z) 1) (* (- y (* y y)) z) (/ (* (- y (* y y)) z) t) (+ (* (- (exp z) 1) y) 1)) |
| 10.0ms | 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) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- (exp z) 1) (* (- y (* y y)) z) (/ (* (- y (* y y)) z) t) (+ (* (- (exp z) 1) y) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 518 | 2422 |
| 1 | 1750 | 2262 |
| 2 | 6443 | 2205 |
| 0 | 8374 | 1956 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) |
(+ x (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ 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)) |
(* y z) |
(* -1/2 (/ (* y z) t)) |
(* y (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t)))) |
(+ x (* y (* z (- (* -1/2 (/ z t)) (/ 1 t))))) |
(+ x (* y (+ (* 1/2 (/ (* y (pow z 2)) t)) (* z (- (* -1/2 (/ z t)) (/ 1 t)))))) |
(* y (- (* -1/2 (/ z t)) (/ 1 t))) |
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(* y (+ z (* -1 (* y z)))) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* y z) t)) (/ z t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (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))))) |
(* 1/2 (/ (* (pow y 2) z) t)) |
(* (pow y 2) (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t)))) |
(* 1/2 (/ (* (pow y 2) (pow z 2)) t)) |
(* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y))) |
(* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (+ (/ x (pow y 2)) (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y)))) |
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t y)))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* -1 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 z) (/ z y))) |
(* -1 (/ (* (pow y 2) z) t)) |
(* (pow y 2) (+ (* -1 (/ z t)) (/ z (* t 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))) |
(+ (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)))) |
(* (pow y 2) (+ (* -1 (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y)) (* 1/2 (/ (pow z 2) t)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* z (+ (* 1/2 (/ z t)) (/ 1 t)))) y)) (* 1/2 (/ (pow z 2) t)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- (exp z) 1)) (/ 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)))) |
(* 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))))))))))) |
(* -1/2 (/ (* z (- y (pow y 2))) t)) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t))))) |
(* -1 (/ y t)) |
(- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
z |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(* z (- y (pow y 2))) |
(/ (* z (- y (pow y 2))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (exp z) 1) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(* -1/2 (/ (* (pow z 2) (- y (pow y 2))) t)) |
(* (pow z 2) (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(* (pow z 2) (- (+ (* -1/2 (/ (- y (pow y 2)) t)) (/ x (pow z 2))) (/ y (* t z)))) |
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(- (+ 1 (* y (exp z))) y) |
(- (exp z) 1) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x z)) (/ y t)) z)) (* -1/2 (/ (- y (pow y 2)) t)))) |
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t) |
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t) |
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)) |
(+ x (* -1 (/ (* z (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y))) t))) |
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t)) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) |
(* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (/.f64 z t)) |
(+ x (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (/.f64 z t) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x) |
(* x (+ 1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x))) |
(fma.f64 (*.f64 x z) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (*.f64 t x)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (/.f64 z t)) (neg.f64 x)) #s(literal 1 binary64))) |
(+ 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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal -1/3 binary64)) y)) t) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x) |
(/ (* y (- (exp z) 1)) t) |
(/.f64 (*.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 (*.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 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 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 (- (+ (* 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 (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) 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 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.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 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) y) |
(* y z) |
(*.f64 z y) |
(* -1/2 (/ (* y z) t)) |
(*.f64 (*.f64 (/.f64 y t) #s(literal -1/2 binary64)) z) |
(* y (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (*.f64 z y)) t)) y) |
(+ x (* y (* z (- (* -1/2 (/ z t)) (/ 1 t))))) |
(fma.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) (*.f64 z y) x) |
(+ x (* y (+ (* 1/2 (/ (* y (pow z 2)) t)) (* z (- (* -1/2 (/ z t)) (/ 1 t)))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) z (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64))) y x) |
(* y (- (* -1/2 (/ z t)) (/ 1 t))) |
(*.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y) |
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t))) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (*.f64 z y)) t)) (/.f64 #s(literal 1 binary64) t)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* y (+ z (* -1 (* y z)))) |
(*.f64 (-.f64 z (*.f64 z y)) y) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(* y (+ (* -1 (/ (* y z) t)) (/ z t))) |
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) z) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 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))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
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(-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) |
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (/.f64 z t) x) |
(+ x (* -1 (/ (* z (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y))) t))) |
(-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z) t)) |
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) (neg.f64 t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 321 |
| 0 | 66 | 321 |
| 1 | 255 | 315 |
| 2 | 1999 | 315 |
| 0 | 9540 | 301 |
| 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 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x) |
(-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
(expm1.f64 z) |
(*.f64 (-.f64 y (*.f64 y y)) z) |
(/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (/.f64 (*.f64 (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (+.f64 #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) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 (expm1.f64 z)))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 z)) y)) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/.f64 (*.f64 (expm1.f64 z) y) t) |
(*.f64 (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (/.f64 (expm1.f64 z) t)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 z)))) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t t))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 t)) (*.f64 (neg.f64 t) #s(literal -1 binary64))) (*.f64 t t)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) t) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) t)) |
(/.f64 (-.f64 (*.f64 (exp.f64 z) (neg.f64 t)) (*.f64 t #s(literal -1 binary64))) (*.f64 t (neg.f64 t))) |
(/.f64 (-.f64 (neg.f64 (exp.f64 z)) #s(literal -1 binary64)) (neg.f64 t)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))) (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 z z))) (neg.f64 (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t))) |
(/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) |
(/.f64 (expm1.f64 (+.f64 z z)) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t)) |
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)) |
(/.f64 (neg.f64 (expm1.f64 z)) (neg.f64 t)) |
(/.f64 (expm1.f64 z) t) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(neg.f64 (/.f64 (expm1.f64 z) (neg.f64 t))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t)) (/.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))) (/.f64 (pow.f64 t #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 z) t) (*.f64 t t)) (/.f64 (*.f64 t #s(literal 1 binary64)) (*.f64 t t))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t) (/.f64 (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) t)) |
(-.f64 (/.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)))) t) (/.f64 (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64)) t)) |
(-.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))) |
(+.f64 (/.f64 (cosh.f64 z) t) (/.f64 (-.f64 (sinh.f64 z) #s(literal 1 binary64)) t)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)) (*.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)) (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 z) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 z) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y))) |
(fma.f64 (/.f64 y (+.f64 (exp.f64 z) #s(literal 1 binary64))) (/.f64 (expm1.f64 (+.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (expm1.f64 z) (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (expm1.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 z)) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (expm1.f64 z))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 z) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 z) y))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 z) y)))) (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 z) y))))) |
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) |
Compiled 17 946 to 2 169 computations (87.9% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 395 | 16 | 411 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 402 | 24 | 426 |
| Status | Accuracy | Program |
|---|---|---|
| 65.3% | (-.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)) | |
| ✓ | 82.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
| ▶ | 62.5% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t)) |
| ✓ | 70.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| 69.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| 14.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) | |
| ▶ | 82.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ✓ | 69.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| ▶ | 63.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
| 70.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) | |
| ▶ | 63.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y))) |
| 65.1% | (-.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))) | |
| 63.6% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) t)))) | |
| 19.0% | (*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (-.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x))) | |
| 41.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) | |
| 63.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 #s(approx (/ (* (- y (* y y)) z) t) (*.f64 (/.f64 y t) z)) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) | |
| 62.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) (/.f64 y t)) z x)) | |
| ▶ | 68.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| 79.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x)) | |
| 62.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z x)) | |
| 17.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) | |
| 64.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) (*.f64 z y) x))) | |
| 12.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (/.f64 z t)))) | |
| 3.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal 1/2 binary64)))) |
Compiled 1 456 to 991 computations (31.9% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y))) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (/.f64 y t) x) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) | |
| cost-diff | 0 | (*.f64 (expm1.f64 z) 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 532 |
| 0 | 77 | 530 |
| 1 | 123 | 518 |
| 2 | 247 | 518 |
| 3 | 645 | 518 |
| 4 | 1917 | 518 |
| 5 | 6852 | 518 |
| 0 | 8028 | 498 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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 |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(neg.f64 z) |
z |
(/.f64 y t) |
y |
t |
x |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y)) |
(*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y) |
(/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
y |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) z) |
#s(literal 1/6 binary64) |
z |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
y |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
t |
| Outputs |
|---|
(-.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 |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 y t) (neg.f64 z) x)) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(neg.f64 z) |
z |
(/.f64 y t) |
y |
t |
x |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) (/.f64 y t)))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y)) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) (/.f64 y t))) |
(*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y) |
(*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) (/.f64 y t)) |
(/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
y |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y)) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) z) |
#s(literal 1/6 binary64) |
z |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
y |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23479252330989958 | (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)) | |
| accuracy | 2.493411556845621 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t) | |
| accuracy | 20.078682834791728 | #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) | |
| accuracy | 36.44312023887389 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) | |
| accuracy | 2.5891367934685197 | (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y) | |
| accuracy | 2.609835989778415 | (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) | |
| accuracy | 14.486061604728148 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y)) | |
| accuracy | 19.932344780195784 | #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) | |
| accuracy | 0.24286120014329166 | (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) | |
| accuracy | 2.5891367934685197 | (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y) | |
| accuracy | 14.486061604728148 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y)) | |
| accuracy | 20.078682834791728 | #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) | |
| accuracy | 0.0 | (/.f64 y t) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 4.0316463180336655 | (fma.f64 (neg.f64 z) (/.f64 y t) x) | |
| accuracy | 18.53508593514594 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) | |
| accuracy | 0.0 | (expm1.f64 z) | |
| accuracy | 0.23869877330989958 | (*.f64 (expm1.f64 z) y) | |
| accuracy | 2.493411556845621 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) | |
| accuracy | 14.53840399953428 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
| 185.0ms | 179× | 1 | valid |
| 94.0ms | 48× | 2 | valid |
| 8.0ms | 28× | 0 | valid |
| 2.0ms | 1× | 3 | valid |
Compiled 330 to 36 computations (89.1% saved)
adjust: 79.0ms (38.2% of total)ival-log: 37.0ms (17.9% of total)ival-mult: 36.0ms (17.4% of total)ival-exp: 18.0ms (8.7% of total)ival-add: 12.0ms (5.8% of total)ival-div: 11.0ms (5.3% of total)ival-sub: 6.0ms (2.9% of total)const: 5.0ms (2.4% of total)ival-expm1: 2.0ms (1% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (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) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(neg.f64 z) |
(/.f64 y t) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y)) |
(*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y) |
(/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64))) |
(expm1.f64 z) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) |
(fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (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 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)))) |
(- (+ 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)))))) |
(+ (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 (+ (* -1 (/ z t)) (/ x y))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ 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))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ z t)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- (exp z) 1)) (/ 1 y)))) |
(+ 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))))))) |
(* -1 z) |
(* 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))) |
(+ 1 (* 1/2 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)))))) |
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 t) |
(+ (* 1/2 (/ z t)) (/ 1 t)) |
(+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(/ (- (exp z) 1) t) |
(* 1/6 (pow z 2)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(- (+ 1 (* y (exp z))) y) |
(- (exp z) 1) |
(* 1/6 (/ (pow z 2) t)) |
(* (pow z 2) (+ (* 1/6 (/ 1 t)) (* 1/2 (/ 1 (* t z))))) |
(* (pow z 2) (+ (/ 1/2 (* t z)) (+ (* 1/6 (/ 1 t)) (/ 1 (* t (pow z 2)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (+ 1 (+ (* 1/6 (pow z 2)) (* 1/2 z))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | t | @ | inf | ((- 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) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) 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))) (- (exp z) 1) (- (exp z) 1) (/ (- (exp z) 1) t) (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (+ (* (- (exp z) 1) y) 1)) |
| 12.0ms | t | @ | -inf | ((- 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) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) 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))) (- (exp z) 1) (- (exp z) 1) (/ (- (exp z) 1) t) (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (+ (* (- (exp z) 1) y) 1)) |
| 9.0ms | t | @ | 0 | ((- 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) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) 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))) (- (exp z) 1) (- (exp z) 1) (/ (- (exp z) 1) t) (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (+ (* (- (exp z) 1) y) 1)) |
| 9.0ms | z | @ | inf | ((- 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) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) 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))) (- (exp z) 1) (- (exp z) 1) (/ (- (exp z) 1) t) (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (+ (* (- (exp z) 1) y) 1)) |
| 9.0ms | z | @ | -inf | ((- 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) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) 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))) (- (exp z) 1) (- (exp z) 1) (/ (- (exp z) 1) t) (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (+ (* (- (exp z) 1) y) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 1982 |
| 1 | 1527 | 1832 |
| 2 | 5658 | 1778 |
| 0 | 8287 | 1541 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (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 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)))) |
(- (+ 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)))))) |
(+ (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 (+ (* -1 (/ z t)) (/ x y))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ 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))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ z t)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- (exp z) 1)) (/ 1 y)))) |
(+ 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))))))) |
(* -1 z) |
(* 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))) |
(+ 1 (* 1/2 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)))))) |
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 t) |
(+ (* 1/2 (/ z t)) (/ 1 t)) |
(+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(/ (- (exp z) 1) t) |
(* 1/6 (pow z 2)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(- (+ 1 (* y (exp z))) y) |
(- (exp z) 1) |
(* 1/6 (/ (pow z 2) t)) |
(* (pow z 2) (+ (* 1/6 (/ 1 t)) (* 1/2 (/ 1 (* t z))))) |
(* (pow z 2) (+ (/ 1/2 (* t z)) (+ (* 1/6 (/ 1 t)) (/ 1 (* t (pow z 2)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (+ 1 (+ (* 1/6 (pow z 2)) (* 1/2 z))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
(* -1 (/ (* y z) t)) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(+ x (* -1 (/ (* y z) t))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
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(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(*.f64 (fma.f64 (/.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)) 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 (fma.f64 #s(literal 1/6 binary64) z #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) |
(+ 1 (* 1/2 z)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1/2 (* 1/6 z)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
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 t) |
(/.f64 #s(literal 1 binary64) t) |
(+ (* 1/2 (/ z t)) (/ 1 t)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) |
(+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(*.f64 (fma.f64 (/.f64 y t) #s(literal -1 binary64) (/.f64 x z)) z) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(* 1/6 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 1/6 binary64)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 1/6 binary64)) z) z) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) z) #s(literal 1/6 binary64)) (*.f64 z z)) |
(- (+ 1 (* y (exp z))) y) |
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y) |
(- (exp z) 1) |
(expm1.f64 z) |
(* 1/6 (/ (pow z 2) t)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) t) z) z) |
(* (pow z 2) (+ (* 1/6 (/ 1 t)) (* 1/2 (/ 1 (* t z))))) |
(*.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 1/6 binary64)) t) z) z) |
(* (pow z 2) (+ (/ 1/2 (* t z)) (+ (* 1/6 (/ 1 t)) (/ 1 (* t (pow z 2)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) z) t) (/.f64 #s(literal 1/6 binary64) t)) z) z) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(*.f64 (fma.f64 (/.f64 y t) #s(literal -1 binary64) (/.f64 x z)) z) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t) |
(/ (+ 1 (+ (* 1/6 (pow z 2)) (* 1/2 z))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 431 |
| 0 | 77 | 431 |
| 1 | 291 | 419 |
| 2 | 2194 | 419 |
| 0 | 9614 | 407 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(neg.f64 z) |
(/.f64 y t) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y)) |
(*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y) |
(/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64))) |
(expm1.f64 z) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) |
(fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x)) (*.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x)) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x)) (/.f64 (*.f64 (neg.f64 (/.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)) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))) (neg.f64 t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
(neg.f64 (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))) t)) |
(neg.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (/.f64 y (+.f64 (exp.f64 z) #s(literal 1 binary64))) (/.f64 (expm1.f64 (+.f64 z z)) #s(literal 1 binary64))) |
(*.f64 (expm1.f64 z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (expm1.f64 z) y) |
(*.f64 y (expm1.f64 z)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 z z)) y)) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (+.f64 z z)))) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (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 (*.f64 (expm1.f64 (+.f64 z z)) y) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (+.f64 z z))) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 y t) (neg.f64 z) x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 2 binary64))))) (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 2 binary64)))))))) |
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(fma.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y))) (/.f64 (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z))) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)))) (/.f64 (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y))))) |
(+.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (pow.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) |
Compiled 21 554 to 2 460 computations (88.6% saved)
29 alts after pruning (23 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 391 | 11 | 402 |
| Fresh | 4 | 12 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 397 | 29 | 426 |
| Status | Accuracy | Program |
|---|---|---|
| 65.3% | (-.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)) | |
| ✓ | 82.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
| ✓ | 62.5% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t)) |
| ✓ | 70.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| 69.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| 14.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) | |
| ✓ | 82.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ✓ | 69.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| ▶ | 63.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t)) |
| 70.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) | |
| ▶ | 63.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) |
| 52.2% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) z)) y))) | |
| 31.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) z) #s(literal 1/6 binary64)) (*.f64 z z))) t) z)) y))) | |
| 55.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) t) z)) y))) | |
| 70.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (/.f64 #s(literal 1 binary64) t)) z)) y))) | |
| 55.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) t) z) z)) z)) y))) | |
| 62.6% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) t) z)))) | |
| 19.0% | (*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (-.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x))) | |
| ▶ | 41.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) |
| 62.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) (/.f64 y t)) z x)) | |
| ✓ | 68.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| ▶ | 79.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x)) |
| 62.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z x)) | |
| 17.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) | |
| 12.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (/.f64 z t)))) | |
| 3.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal 1/2 binary64)))) | |
| 59.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) | |
| 68.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z y) t) x)) x))) | |
| ▶ | 12.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
Compiled 1 780 to 1 214 computations (31.8% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) | |
| cost-diff | 1 | (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) | |
| cost-diff | 2 | (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) | |
| cost-diff | 4 | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) | |
| cost-diff | 0 | #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) | |
| cost-diff | 0 | #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (/.f64 y t)) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t))) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) | |
| cost-diff | 0 | (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x)) | |
| cost-diff | 3 | (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 537 |
| 0 | 100 | 537 |
| 1 | 180 | 527 |
| 2 | 486 | 521 |
| 3 | 1755 | 511 |
| 0 | 8021 | 471 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x)) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x) |
(neg.f64 x) |
x |
(/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) |
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(exp.f64 z) |
z |
y |
(neg.f64 y) |
(*.f64 t x) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t))) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(neg.f64 z) |
z |
(/.f64 y t) |
y |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) |
#s(literal 1/2 binary64) |
(*.f64 z y) |
z |
y |
t |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
y |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) |
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) |
#s(literal -1/2 binary64) |
(*.f64 (-.f64 y (*.f64 y y)) z) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
z |
t |
(*.f64 t y) |
(*.f64 t t) |
x |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(neg.f64 x) |
x |
(/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) |
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(exp.f64 z) |
z |
y |
(neg.f64 y) |
(*.f64 t x) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(*.f64 (/.f64 (neg.f64 y) t) z) |
(neg.f64 z) |
z |
(/.f64 y t) |
y |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) |
#s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) |
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(*.f64 z y) |
z |
y |
t |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
y |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) y (neg.f64 y)) t) z x)) |
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) y (neg.f64 y)) t) z x) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) |
(/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) y (neg.f64 y)) t) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) y (neg.f64 y)) t) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) |
(*.f64 (*.f64 t (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)))) y) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) |
(*.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) y) |
#s(literal -1/2 binary64) |
(*.f64 (-.f64 y (*.f64 y y)) z) |
(*.f64 (fma.f64 (neg.f64 y) y y) z) |
(-.f64 y (*.f64 y y)) |
(fma.f64 (neg.f64 y) y y) |
y |
(*.f64 y y) |
z |
t |
(*.f64 t y) |
(*.f64 t t) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.101541858302059 | (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) | |
| accuracy | 6.191764939134571 | (*.f64 (-.f64 y (*.f64 y y)) z) | |
| accuracy | 21.335805264817868 | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) | |
| accuracy | 24.108280451393888 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) | |
| accuracy | 2.5891367934685197 | (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y) | |
| accuracy | 2.609835989778415 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) | |
| accuracy | 14.486061604728148 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y)) | |
| accuracy | 19.932344780195784 | #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) | |
| accuracy | 2.493411556845621 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t) | |
| accuracy | 14.53840399953428 | #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) | |
| accuracy | 20.679110418023818 | #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 5.551473833988459 | (*.f64 (neg.f64 z) (/.f64 y t)) | |
| accuracy | 18.53508593514594 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) | |
| accuracy | 37.11234617162402 | #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t))) | |
| accuracy | 0.0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x)) | |
| accuracy | 2.665703184332631 | (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x) | |
| accuracy | 7.595812445854219 | (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) | |
| accuracy | 31.30147413766252 | (fma.f64 (exp.f64 z) y (neg.f64 y)) |
| 207.0ms | 179× | 1 | valid |
| 128.0ms | 48× | 2 | valid |
| 11.0ms | 28× | 0 | valid |
| 2.0ms | 1× | 3 | valid |
Compiled 375 to 55 computations (85.3% saved)
ival-log: 83.0ms (29.2% of total)adjust: 51.0ms (17.9% of total)ival-mult: 42.0ms (14.8% of total)ival-log1p: 35.0ms (12.3% of total)ival-exp: 23.0ms (8.1% of total)ival-div: 16.0ms (5.6% of total)ival-add: 14.0ms (4.9% of total)ival-sub: 9.0ms (3.2% of total)const: 5.0ms (1.8% of total)ival-neg: 3.0ms (1.1% of total)ival-expm1: 2.0ms (0.7% of total)exact: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x)) |
(neg.f64 x) |
(/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t))) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(neg.f64 z) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) |
(*.f64 (-.f64 y (*.f64 y y)) z) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 x) |
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) (* t x)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(/ (* 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 (- (* -1/2 (* t z)) t)) (pow t 2)) |
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t))) |
(* y (- (* -1/2 (* t z)) t)) |
(* y (- (+ (* -1/2 (* t z)) (* 1/2 (* t (* y z)))) t)) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (* 1/2 (* y z)))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y z) |
(* y (+ z (* -1 (* y z)))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* t x)) |
(+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (+ (* 1/3 (/ 1 (* t (* x (* (pow y 3) (pow (- (exp z) 1) 3)))))) (/ (log (- (exp z) 1)) (* t x))))) (* 1/2 (/ 1 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
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(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* 1/2 (/ (* (pow y 2) z) t)) |
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t y)))) |
(* 1/2 (* t (* (pow y 2) z))) |
(* (pow y 2) (- (+ (* -1/2 (/ (* t z) y)) (* 1/2 (* t z))) (/ t y))) |
(* 1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* 1/2 z))) |
(* -1 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 z) (/ z y))) |
(+ x (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (* -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)))) |
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(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
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(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (* t x)) |
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(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2)))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (/ 1/3 (* t (* x (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))))) (+ (/ 1/2 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z)))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ z t)))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (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)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t)))) |
(* (pow y 2) (+ (* -1 (/ (- (* 1/2 (* t z)) (* -1 t)) y)) (* 1/2 (* t z)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ (* y z) (* t x)) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x)))) |
(* -1 z) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(* z (+ 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))) |
(* -1 (/ y t)) |
(+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t))) |
(* -1 (* t y)) |
(- (* -1/2 (* t (* z (- y (pow y 2))))) (* t y)) |
(* -1/2 (* z (- y (pow y 2)))) |
(/ 1 t) |
(+ (* 1/2 (/ z t)) (/ 1 t)) |
(+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)) |
(* z (- y (pow y 2))) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(/ (- (exp z) 1) t) |
(* -1/2 (/ (* z (- y (pow y 2))) t)) |
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(* -1/2 (* t (* z (- y (pow y 2))))) |
(* z (+ (* -1 (/ (* t y) z)) (* -1/2 (* t (- y (pow y 2)))))) |
(- (* y (exp z)) y) |
(* 1/2 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* 1/6 (/ (pow z 2) t)) |
(* (pow z 2) (+ (* 1/6 (/ 1 t)) (* 1/2 (/ 1 (* t z))))) |
(* (pow z 2) (+ (/ 1/2 (* t z)) (+ (* 1/6 (/ 1 t)) (/ 1 (* t (pow z 2)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))) |
(* -1 (* z (+ (* 1/2 (* t (- y (pow y 2)))) (/ (* t y) z)))) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t) |
(* t (- (* -1/2 (* z (- y (pow y 2)))) y)) |
(/ (+ 1 (* z (+ 1/2 (* 1/6 z)))) t) |
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t)) |
(* -1 (* t (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 83.0ms | x | @ | 0 | ((+ (* (neg x) (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (neg z) (/ y t)) (neg z) (- 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) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* t t)) (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* -1/2 (* (- y (* y y)) z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (exp z) y) (neg y)) (* (+ (* 1/2 (* z y)) y) z) (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (* (- y (* y y)) z)) |
| 52.0ms | z | @ | inf | ((+ (* (neg x) (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (neg z) (/ y t)) (neg z) (- 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) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* t t)) (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* -1/2 (* (- y (* y y)) z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (exp z) y) (neg y)) (* (+ (* 1/2 (* z y)) y) z) (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (* (- y (* y y)) z)) |
| 52.0ms | x | @ | -inf | ((+ (* (neg x) (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (neg z) (/ y t)) (neg z) (- 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) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* t t)) (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* -1/2 (* (- y (* y y)) z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (exp z) y) (neg y)) (* (+ (* 1/2 (* z y)) y) z) (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (* (- y (* y y)) z)) |
| 24.0ms | t | @ | -inf | ((+ (* (neg x) (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (neg z) (/ y t)) (neg z) (- 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) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* t t)) (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* -1/2 (* (- y (* y y)) z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (exp z) y) (neg y)) (* (+ (* 1/2 (* z y)) y) z) (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (* (- y (* y y)) z)) |
| 15.0ms | t | @ | 0 | ((+ (* (neg x) (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (neg z) (/ y t)) (neg z) (- 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) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* t t)) (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* -1/2 (* (- y (* y y)) z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (exp z) y) (neg y)) (* (+ (* 1/2 (* z y)) y) z) (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (* (- y (* y y)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 671 | 3360 |
| 1 | 2308 | 3045 |
| 0 | 8743 | 2710 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 x) |
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) (* t x)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(/ (* 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 (- (* -1/2 (* t z)) t)) (pow t 2)) |
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t))) |
(* y (- (* -1/2 (* t z)) t)) |
(* y (- (+ (* -1/2 (* t z)) (* 1/2 (* t (* y z)))) t)) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (* 1/2 (* y z)))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y z) |
(* y (+ z (* -1 (* y z)))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* t x)) |
(+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (+ (* 1/3 (/ 1 (* t (* x (* (pow y 3) (pow (- (exp z) 1) 3)))))) (/ (log (- (exp z) 1)) (* t x))))) (* 1/2 (/ 1 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (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))))) |
(* 1/2 (/ (* (pow y 2) z) t)) |
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t y)))) |
(* 1/2 (* t (* (pow y 2) z))) |
(* (pow y 2) (- (+ (* -1/2 (/ (* t z) y)) (* 1/2 (* t z))) (/ t y))) |
(* 1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* 1/2 z))) |
(* -1 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 z) (/ z y))) |
(+ x (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (* -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)))) |
(- 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 x)) |
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) (/ 1 (* t (* x (* y (+ 1 (* -1 (exp z)))))))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2)))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (/ 1/3 (* t (* x (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))))) (+ (/ 1/2 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z)))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ z t)))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (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)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t)))) |
(* (pow y 2) (+ (* -1 (/ (- (* 1/2 (* t z)) (* -1 t)) y)) (* 1/2 (* t z)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ (* y z) (* t x)) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x)))) |
(* -1 z) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(* z (+ 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))) |
(* -1 (/ y t)) |
(+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t))) |
(* -1 (* t y)) |
(- (* -1/2 (* t (* z (- y (pow y 2))))) (* t y)) |
(* -1/2 (* z (- y (pow y 2)))) |
(/ 1 t) |
(+ (* 1/2 (/ z t)) (/ 1 t)) |
(+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)) |
(* z (- y (pow y 2))) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(/ (- (exp z) 1) t) |
(* -1/2 (/ (* z (- y (pow y 2))) t)) |
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(* -1/2 (* t (* z (- y (pow y 2))))) |
(* z (+ (* -1 (/ (* t y) z)) (* -1/2 (* t (- y (pow y 2)))))) |
(- (* y (exp z)) y) |
(* 1/2 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* 1/6 (/ (pow z 2) t)) |
(* (pow z 2) (+ (* 1/6 (/ 1 t)) (* 1/2 (/ 1 (* t z))))) |
(* (pow z 2) (+ (/ 1/2 (* t z)) (+ (* 1/6 (/ 1 t)) (/ 1 (* t (pow z 2)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))) |
(* -1 (* z (+ (* 1/2 (* t (- y (pow y 2)))) (/ (* t y) z)))) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t) |
(* t (- (* -1/2 (* z (- y (pow y 2)))) y)) |
(/ (+ 1 (* z (+ 1/2 (* 1/6 z)))) t) |
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t)) |
(* -1 (* t (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
(* -1 x) |
(neg.f64 x) |
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) |
(* -1 (/ (* y z) t)) |
(*.f64 (/.f64 y (neg.f64 t)) z) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y t) z) x)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(*.f64 (-.f64 (/.f64 (*.f64 (/.f64 y t) z) x) #s(literal 1 binary64)) (neg.f64 x)) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) y (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 #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 (expm1.f64 z) (neg.f64 t))) y x) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (-.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 x)) |
(*.f64 y (/.f64 (/.f64 (expm1.f64 z) x) t)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) x) (/.f64 (/.f64 (expm1.f64 z) x) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (/.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)))) (*.f64 t x)) y (/.f64 (/.f64 (expm1.f64 z) x) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (fma.f64 (/.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)))) (*.f64 t x)) y (*.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) x) #s(literal -1/2 binary64))) y (/.f64 (/.f64 (expm1.f64 z) x) t)) y) |
(/ (* 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 #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 (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 #s(literal -1/2 binary64) (/.f64 (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 (- (* -1/2 (* t z)) t)) (pow t 2)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 t z) #s(literal -1/2 binary64)) t) t) (/.f64 y t)) |
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t))) |
(*.f64 (-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) t) (/.f64 #s(literal 1 binary64) t)) y) |
(* y (- (* -1/2 (* t z)) t)) |
(*.f64 (-.f64 (*.f64 (*.f64 t z) #s(literal -1/2 binary64)) t) y) |
(* y (- (+ (* -1/2 (* t z)) (* 1/2 (* t (* y z)))) t)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 t z) (*.f64 (*.f64 t z) y))) t) y) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* y (+ (* -1/2 z) (* 1/2 (* y z)))) |
(*.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) y) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1 (* y z)))) |
(*.f64 (-.f64 z (*.f64 y 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)) |
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(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (exp.f64 z))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(*.f64 (neg.f64 y) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) 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 (*.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 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)))) t) z (/.f64 y (neg.f64 t))) z x) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 y z)) y) #s(literal -1/2 binary64)) y) t) z x) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.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 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)))) t) z) (/.f64 y t)) z x) |
(/ (* y z) (* t x)) |
(/.f64 (*.f64 (/.f64 y t) z) x) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 t x)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) |
(*.f64 (fma.f64 (/.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))) (*.f64 t x)) z (/.f64 (/.f64 y t) x)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 t x)) (*.f64 (*.f64 z z) (/.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)))) (*.f64 t x)))) z) |
(* -1 z) |
(neg.f64 z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #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 (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 (-.f64 y (*.f64 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 y (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) t) (*.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 #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)))) t) z)) z (/.f64 y t)) z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (*.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)) z y) z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(* 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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal 1/2 binary64) y)) t) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) t) z (*.f64 #s(literal 1/2 binary64) (/.f64 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 (fma.f64 #s(literal 1/6 binary64) z #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) |
(* -1 (/ y t)) |
(/.f64 y (neg.f64 t)) |
(+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y))) z (neg.f64 y)) t) |
(* -1 (* t y)) |
(*.f64 (neg.f64 t) y) |
(- (* -1/2 (* t (* z (- y (pow y 2))))) (* t y)) |
(fma.f64 (*.f64 (*.f64 (-.f64 z (*.f64 y z)) y) t) #s(literal -1/2 binary64) (*.f64 (neg.f64 t) y)) |
(* -1/2 (* z (- y (pow y 2)))) |
(*.f64 (*.f64 (-.f64 z (*.f64 y z)) y) #s(literal -1/2 binary64)) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(+ (* 1/2 (/ z t)) (/ 1 t)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) |
(+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) |
(* z (- y (pow y 2))) |
(*.f64 (-.f64 z (*.f64 y z)) y) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y t) (/.f64 x z)) z) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(* -1/2 (/ (* z (- y (pow y 2))) t)) |
(*.f64 (/.f64 (*.f64 (-.f64 z (*.f64 y z)) y) t) #s(literal -1/2 binary64)) |
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64) (/.f64 (/.f64 y (neg.f64 t)) z)) z) |
(* -1/2 (* t (* z (- y (pow y 2))))) |
(*.f64 (*.f64 (*.f64 (-.f64 z (*.f64 y z)) y) t) #s(literal -1/2 binary64)) |
(* z (+ (* -1 (/ (* t y) z)) (* -1/2 (* t (- y (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 t) y) z)) z) |
(- (* y (exp z)) y) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(* 1/2 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z) |
(* 1/6 (/ (pow z 2) t)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 z t)) z) |
(* (pow z 2) (+ (* 1/6 (/ 1 t)) (* 1/2 (/ 1 (* t z))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) z) (/.f64 #s(literal -1/6 binary64) t)) (*.f64 z z)) |
(* (pow z 2) (+ (/ 1/2 (* t z)) (+ (* 1/6 (/ 1 t)) (/ 1 (* t (pow z 2)))))) |
(*.f64 (*.f64 (-.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) z) z) (/.f64 #s(literal -1/6 binary64) t)) (/.f64 #s(literal -1/2 binary64) (*.f64 t z))) z) z) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) (/.f64 y t))) |
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))) |
(*.f64 (neg.f64 z) (fma.f64 (-.f64 y (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y t) z))) |
(* -1 (* z (+ (* 1/2 (* t (- y (pow y 2)))) (/ (* t y) z)))) |
(*.f64 (neg.f64 z) (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64) (/.f64 (*.f64 t y) z))) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/.f64 (fma.f64 t x (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t) |
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 y z)) y) #s(literal -1/2 binary64)) y) t) |
(* t (- (* -1/2 (* z (- y (pow y 2)))) y)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 y z)) y) #s(literal -1/2 binary64)) y) t) |
(/ (+ 1 (* z (+ 1/2 (* 1/6 z)))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) |
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t)) |
(/.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) z) y) (neg.f64 t)) |
(* -1 (* t (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)))) |
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) z) y) (neg.f64 t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 418 |
| 0 | 100 | 418 |
| 1 | 377 | 410 |
| 2 | 2854 | 410 |
| 0 | 8240 | 386 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x)) |
(neg.f64 x) |
(/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t))) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(neg.f64 z) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) |
(*.f64 (-.f64 y (*.f64 y y)) z) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)) x)) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)) x) (-.f64 (*.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)) x))) |
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)))) |
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(/.f64 (fma.f64 #s(literal -1 binary64) t (*.f64 (neg.f64 t) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z))) (*.f64 (neg.f64 t) t)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 t) (*.f64 t (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z)))) (*.f64 (neg.f64 t) t)) |
(/.f64 (fma.f64 #s(literal 1 binary64) t (*.f64 t (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z))) (*.f64 t t)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) t)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t) #s(literal 2 binary64)) (-.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t) (pow.f64 t #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)))) (neg.f64 (neg.f64 t))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) t)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z)) t)) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) (neg.f64 t)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) t)) |
(neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (neg.f64 t))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (/.f64 z t) (pow.f64 t #s(literal -1 binary64))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) (pow.f64 t #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t) (pow.f64 t #s(literal -1 binary64))) |
(+.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t)) |
(*.f64 (fma.f64 (neg.f64 y) y y) z) |
(*.f64 z (fma.f64 (neg.f64 y) y y)) |
(/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) z) (fma.f64 y y y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) z) (fma.f64 y y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 z (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y y)) |
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(fma.f64 y z (*.f64 (*.f64 (neg.f64 y) y) z)) |
(fma.f64 y z (*.f64 z (*.f64 (neg.f64 y) y))) |
(fma.f64 z y (*.f64 (*.f64 (neg.f64 y) y) z)) |
(fma.f64 z y (*.f64 z (*.f64 (neg.f64 y) y))) |
(+.f64 (*.f64 y z) (*.f64 (*.f64 (neg.f64 y) y) z)) |
(+.f64 (*.f64 y z) (*.f64 z (*.f64 (neg.f64 y) y))) |
Compiled 17 870 to 2 136 computations (88% saved)
35 alts after pruning (26 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 368 | 12 | 380 |
| Fresh | 4 | 14 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 374 | 35 | 409 |
| Status | Accuracy | Program |
|---|---|---|
| 65.3% | (-.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)) | |
| ✓ | 82.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
| ✓ | 62.5% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t)) |
| ✓ | 70.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| 69.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| 14.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) | |
| ✓ | 82.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ✓ | 63.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t)) |
| 54.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* 1/2 (* z y)) y) z) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) | |
| 70.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) | |
| ✓ | 63.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) |
| 52.2% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) z)) y))) | |
| 31.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) z) #s(literal 1/6 binary64)) (*.f64 z z))) t) z)) y))) | |
| 55.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) t) z)) y))) | |
| 70.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (/.f64 #s(literal 1 binary64) t)) z)) y))) | |
| 55.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 z t)) z)) z)) y))) | |
| 19.0% | (*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (-.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x))) | |
| 49.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (/.f64 (*.f64 t (-.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal -1/2 binary64)) y)) t) t) z x)) | |
| 71.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) x)) | |
| 43.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) t)) (*.f64 t t)) z x)) | |
| 51.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) z x)) | |
| ✓ | 68.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| ✓ | 79.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x)) |
| 13.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x))) x)) | |
| 67.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (/.f64 (*.f64 (/.f64 y t) z) x)) x)) | |
| 78.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (*.f64 y (/.f64 (/.f64 (expm1.f64 z) x) t))) x)) | |
| 55.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (/ (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) z x)) | |
| 62.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z x)) | |
| 17.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) | |
| 12.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (/.f64 z t)))) | |
| 3.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal 1/2 binary64)))) | |
| 59.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) | |
| 12.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) | |
| 68.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z y) t) x)) x))) | |
| ✓ | 12.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
Compiled 3 049 to 1 223 computations (59.9% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ (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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (/.f64 #s(literal 1 binary64) t)) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) z x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* 1/2 (* z y)) y) z) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) t)))) |
(-.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal 1/2 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (/ (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) t) z) z)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 z t)) z)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z y) t) x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (/.f64 (*.f64 (/.f64 y t) z) x)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (/.f64 z t)))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) (*.f64 z y) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 #s(approx (/ (* (- y (* y y)) z) t) (*.f64 (/.f64 y t) z)) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) t)) (*.f64 t t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) (/.f64 y t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (/.f64 (*.f64 t (-.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal -1/2 binary64)) y)) t) t) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) z) #s(literal 1/6 binary64)) (*.f64 z z))) t) z)) y))) |
(-.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)) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (*.f64 y (/.f64 (/.f64 (expm1.f64 z) x) t))) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 t x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x))) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (-.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x))) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
9 calls:
| 83.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 44.0ms | t |
| 31.0ms | x |
| 15.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 2 | (exp.f64 z) |
| 96.5% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 96.5% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 96.5% | 3 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 93.2% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 87.4% | 2 | x |
| 96.8% | 3 | y |
| 93.7% | 4 | z |
| 89.1% | 3 | t |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (/.f64 #s(literal 1 binary64) t)) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) z x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* 1/2 (* z y)) y) z) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) t)))) |
(-.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal 1/2 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (/ (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) t) z) z)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 z t)) z)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z y) t) x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (/.f64 (*.f64 (/.f64 y t) z) x)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (/.f64 z t)))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) (*.f64 z y) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 #s(approx (/ (* (- y (* y y)) z) t) (*.f64 (/.f64 y t) z)) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) t)) (*.f64 t t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) (/.f64 y t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (/.f64 (*.f64 t (-.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal -1/2 binary64)) y)) t) t) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) z) #s(literal 1/6 binary64)) (*.f64 z z))) t) z)) y))) |
(-.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)) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (*.f64 y (/.f64 (/.f64 (expm1.f64 z) x) t))) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
6 calls:
| 12.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 12.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 11.0ms | y |
| 11.0ms | z |
| 9.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 2 | z |
| 87.5% | 2 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 88.6% | 2 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 90.5% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 90.5% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 89.7% | 3 | y |
Compiled 43 to 50 computations (-16.3% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ (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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (/.f64 #s(literal 1 binary64) t)) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) z x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* 1/2 (* z y)) y) z) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) t)))) |
(-.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal 1/2 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (/ (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) t) z) z)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 z t)) z)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z y) t) x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (/.f64 (*.f64 (/.f64 y t) z) x)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (/.f64 z t)))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) (*.f64 z y) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 #s(approx (/ (* (- y (* y y)) z) t) (*.f64 (/.f64 y t) z)) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) t)) (*.f64 t t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) (/.f64 y t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (/.f64 (*.f64 t (-.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal -1/2 binary64)) y)) t) t) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) z) #s(literal 1/6 binary64)) (*.f64 z z))) t) z)) y))) |
(-.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)) |
| Outputs |
|---|
(-.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))) |
9 calls:
| 30.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 13.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 11.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 10.0ms | t |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 1 | z |
| 83.6% | 1 | x |
| 83.6% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 83.6% | 1 | t |
| 86.1% | 2 | y |
| 83.6% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 83.6% | 1 | (exp.f64 z) |
| 85.7% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 85.7% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (/.f64 #s(literal 1 binary64) t)) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) z x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* 1/2 (* z y)) y) z) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) t)))) |
(-.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal 1/2 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (/ (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) t) z) z)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 z t)) z)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z y) t) x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (/.f64 (*.f64 (/.f64 y t) z) x)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (/.f64 z t)))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) (*.f64 z y) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 #s(approx (/ (* (- y (* y y)) z) t) (*.f64 (/.f64 y t) z)) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) t)) (*.f64 t t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) (/.f64 y t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (/.f64 (*.f64 t (-.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal -1/2 binary64)) y)) t) t) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) z) #s(literal 1/6 binary64)) (*.f64 z z))) t) z)) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| Outputs |
|---|
(-.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 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
9 calls:
| 32.0ms | y |
| 17.0ms | z |
| 12.0ms | t |
| 10.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.3% | 2 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 70.5% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 75.9% | 3 | x |
| 77.9% | 2 | z |
| 77.7% | 2 | (exp.f64 z) |
| 76.2% | 3 | t |
| 73.7% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 73.7% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 74.1% | 2 | y |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (fma.f64 (neg.f64 z) y (*.f64 t x)) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (/.f64 #s(literal 1 binary64) t)) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) z x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (+ (* 1/2 (* z y)) y) z) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) t)))) |
(-.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal 1/2 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (/ (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) t) (*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) t) z) z)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 #s(approx (/ (+ (* (+ (* 1/6 z) 1/2) z) 1) t) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 z t)) z)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z y) t) x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (+ (* (exp z) y) (neg y)))) (* t x)) (/.f64 (*.f64 (/.f64 y t) z) x)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z (*.f64 z y)) y) #s(literal -1/2 binary64)) y) (/.f64 z t)))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) (*.f64 z y) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 #s(approx (/ (* (- y (* y y)) z) t) (*.f64 (/.f64 y t) z)) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (- (* (* -1/2 (* (- y (* y y)) z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) t)) (*.f64 t t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 #s(approx (* (/ (* (- y (* y y)) z) t) -1/2) (*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal 1/2 binary64))) (/.f64 y t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) t (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) z)) t) (*.f64 t y)) (*.f64 t t)) z x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (/.f64 (*.f64 t (-.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal -1/2 binary64)) y)) t) t) z x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 #s(approx (+ (* (* 1/6 z) z) (+ (* 1/2 z) 1)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) z) #s(literal 1/6 binary64)) (*.f64 z z))) t) z)) 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:
| 87.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 53.0ms | t |
| 18.0ms | y |
| 9.0ms | x |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 70.5% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 70.5% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 70.5% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 70.5% | 1 | y |
| 70.5% | 1 | x |
| 70.5% | 1 | t |
| 70.5% | 1 | (exp.f64 z) |
| 70.5% | 1 | z |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
9 calls:
| 2.0ms | t |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 68.4% | 1 | (exp.f64 z) |
| 68.4% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 68.4% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 68.4% | 1 | y |
| 68.4% | 1 | x |
| 68.4% | 1 | z |
| 68.4% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 68.4% | 1 | t |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
9 calls:
| 5.0ms | z |
| 1.0ms | t |
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.6% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 12.6% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 12.6% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 12.6% | 1 | (exp.f64 z) |
| 12.6% | 1 | z |
| 12.6% | 1 | x |
| 12.6% | 1 | y |
| 12.6% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 12.6% | 1 | t |
Compiled 47 to 63 computations (-34% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
9 calls:
| 1.0ms | x |
| 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 | z |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.2% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 12.2% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 12.2% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 12.2% | 1 | (exp.f64 z) |
| 12.2% | 1 | z |
| 12.2% | 1 | t |
| 12.2% | 1 | x |
| 12.2% | 1 | y |
| 12.2% | 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× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 98.0ms | 2.6884767485191726e+210 | 8.895201692542746e+216 |
| 30.0ms | -469272350174121.56 | -506358.4152437771 |
| 61.0ms | 183× | 1 | valid |
| 21.0ms | 61× | 1 | invalid |
| 8.0ms | 105× | 0 | valid |
| 7.0ms | 100× | 0 | invalid |
Compiled 718 to 631 computations (12.1% saved)
ival-exp: 30.0ms (38.3% of total)ival-log: 18.0ms (23% of total)adjust: 10.0ms (12.8% of total)ival-sub: 7.0ms (8.9% of total)ival-div: 5.0ms (6.4% of total)ival-mult: 4.0ms (5.1% of total)ival-add: 3.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 221.0174020189693 | 243.16317449199255 |
| 0.0ms | -inf | -1.1102230246251565e-16 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | -5.547466081834518e+171 | -2.692970906539944e+164 |
| 32.0ms | 83× | 1 | valid |
| 5.0ms | 20× | 1 | invalid |
| 5.0ms | 61× | 0 | valid |
| 1.0ms | 7× | 0 | invalid |
Compiled 331 to 307 computations (7.3% saved)
ival-exp: 15.0ms (42.6% of total)ival-log: 7.0ms (19.9% of total)adjust: 4.0ms (11.4% of total)ival-sub: 3.0ms (8.5% of total)ival-div: 2.0ms (5.7% of total)ival-mult: 2.0ms (5.7% of total)ival-add: 1.0ms (2.8% 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 |
|---|---|---|
| 74.0ms | -4.9216718788942095e-73 | -2.3675581629287292e-76 |
| 59.0ms | 83× | 1 | valid |
| 5.0ms | 17× | 1 | invalid |
| 4.0ms | 45× | 0 | valid |
Compiled 344 to 291 computations (15.4% saved)
ival-log: 30.0ms (48.1% of total)ival-sub: 15.0ms (24% of total)ival-exp: 9.0ms (14.4% of total)adjust: 4.0ms (6.4% of total)ival-div: 2.0ms (3.2% of total)ival-mult: 2.0ms (3.2% of total)ival-add: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 314 |
| 1 | 120 | 312 |
| 2 | 214 | 312 |
| 3 | 394 | 312 |
| 4 | 824 | 312 |
| 5 | 3824 | 312 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal -60000000000 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 3200000000000000233958022986415528227571710514253456224135160398211559751160937126001162912460343720536354201599032420010716889331367777429457501064091118049405778433736882711473998770491349081007292315152154624 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)))) |
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 240 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)))) |
(if (<=.f64 y #s(literal -5800000000000000112636886198564359955756869294359954283990752549513285836524672559602899644004569013895050413285321648632549722456086679198356951687567212866072215552 binary64)) (-.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)))) |
(if (<=.f64 z #s(literal -7638884911254323/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (-.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 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -60000000000 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 3200000000000000233958022986415528227571710514253456224135160398211559751160937126001162912460343720536354201599032420010716889331367777429457501064091118049405778433736882711473998770491349081007292315152154624 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)))) |
(if (or (<=.f64 y #s(literal -60000000000 binary64)) (not (<=.f64 y #s(literal 3200000000000000233958022986415528227571710514253456224135160398211559751160937126001162912460343720536354201599032420010716889331367777429457501064091118049405778433736882711473998770491349081007292315152154624 binary64)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))) |
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 240 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)))) |
(if (<=.f64 y #s(literal -5800000000000000112636886198564359955756869294359954283990752549513285836524672559602899644004569013895050413285321648632549722456086679198356951687567212866072215552 binary64)) (-.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)))) |
(if (<=.f64 z #s(literal -7638884911254323/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (-.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 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (neg.f64 z) (/.f64 y t)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 1597 |
| 1 | 1079 | 1468 |
| 2 | 4058 | 1425 |
| 0 | 9154 | 1220 |
| 0 | 62 | 418 |
| 0 | 100 | 418 |
| 1 | 377 | 410 |
| 2 | 2854 | 410 |
| 0 | 8240 | 386 |
| 0 | 518 | 2422 |
| 1 | 1750 | 2262 |
| 2 | 6443 | 2205 |
| 0 | 8374 | 1956 |
| 0 | 448 | 1982 |
| 1 | 1527 | 1832 |
| 2 | 5658 | 1778 |
| 0 | 8287 | 1541 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 314 to 78 computations (75.2% saved)
Compiled 736 to 230 computations (68.8% saved)
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