
Time bar (total: 18.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 3.1% | 3.1% | 96.7% | 0.2% | 0% | 0% | 0% | 8 |
| 4.7% | 4.7% | 95.1% | 0.2% | 0% | 0% | 0% | 9 |
| 4.7% | 4.7% | 95.1% | 0.2% | 0% | 0% | 0% | 10 |
| 16.4% | 16.4% | 83.4% | 0.2% | 0% | 0% | 0% | 11 |
| 18.8% | 17.5% | 76% | 0.2% | 0% | 6.2% | 0% | 12 |
Compiled 15 to 14 computations (6.7% saved)
| 2.8s | 3 748× | 0 | valid |
| 2.3s | 4 508× | 1 | valid |
| 1.6s | 1 155× | 5 | exit |
| 343.0ms | 1 715× | 0 | invalid |
| 192.0ms | 395× | 4 | exit |
| 191.0ms | 633× | 1 | invalid |
ival-exp: 1.9s (32% of total)ival-div: 1.4s (22.5% of total)ival-log: 1.1s (18.6% of total)ival-sub: 749.0ms (12.4% of total)adjust: 467.0ms (7.7% of total)ival-mult: 228.0ms (3.8% of total)ival-add: 160.0ms (2.6% of total)ival-true: 9.0ms (0.1% of total)exact: 8.0ms (0.1% of total)ival-assert: 5.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 154 | 51 | (6.873063676976843e+120 -1.4809877497953479e-176 3.974268384032522e-244 1.6160210172559412e-75) | 0 | - | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 77 | 1 | (1.476357558086866e-112 -314298109.2369424 -3.3365343774002727e-292 -7.148949712836316e-28) | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 21 | 1 | (1.3641474794207196e-236 -6.62827751445908e-266 -6.294658797734003e-210 1.3807687854737765e-151) | 1 | (-7.616498483843535e+115 1.534387592968516e-151 1.6065881142847534e-160 -5.6036055116285036e-266) | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y (exp.f64 z)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 z) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | sensitivity | 205 | 0 |
+.f64 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | cancellation | 34 | 0 |
/.f64 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | u/n | 2 | 0 |
| ↳ | (exp.f64 z) | underflow | 72 | |
| ↳ | (*.f64 y (exp.f64 z)) | underflow | 73 | |
| ↳ | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | underflow | 51 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 106 | 6 |
| - | 114 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 106 | 0 | 6 |
| - | 114 | 0 | 30 |
| number | freq |
|---|---|
| 0 | 36 |
| 1 | 199 |
| 2 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 235.0ms | 114× | 2 | valid |
| 162.0ms | 336× | 1 | valid |
| 111.0ms | 62× | 0 | valid |
Compiled 127 to 40 computations (68.5% saved)
ival-log: 189.0ms (62.6% of total)ival-exp: 43.0ms (14.2% of total)ival-mult: 32.0ms (10.6% of total)adjust: 14.0ms (4.6% of total)ival-sub: 10.0ms (3.3% of total)ival-div: 8.0ms (2.6% of total)ival-add: 5.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 868× | sub-neg |
| 642× | unsub-neg |
| 630× | times-frac |
| 620× | distribute-lft-neg-in |
| 588× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 194 |
| 1 | 147 | 186 |
| 2 | 389 | 184 |
| 3 | 977 | 184 |
| 4 | 2674 | 184 |
| 5 | 4762 | 184 |
| 6 | 5442 | 184 |
| 7 | 5699 | 184 |
| 8 | 5904 | 184 |
| 9 | 6037 | 184 |
| 10 | 6125 | 184 |
| 11 | 6572 | 184 |
| 12 | 6716 | 184 |
| 13 | 6728 | 184 |
| 14 | 6738 | 184 |
| 15 | 6738 | 184 |
| 16 | 6738 | 184 |
| 17 | 6738 | 184 |
| 0 | 12 | 13 |
| 0 | 19 | 13 |
| 1 | 29 | 13 |
| 2 | 54 | 13 |
| 3 | 93 | 13 |
| 4 | 188 | 13 |
| 5 | 356 | 13 |
| 6 | 509 | 13 |
| 7 | 570 | 13 |
| 8 | 637 | 13 |
| 9 | 689 | 13 |
| 10 | 817 | 13 |
| 11 | 907 | 13 |
| 12 | 914 | 13 |
| 13 | 915 | 13 |
| 0 | 915 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
Compiled 13 to 12 computations (7.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.6% | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) | |
| cost-diff | 64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | |
| cost-diff | 320 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 544× | lower-fma.f64 |
| 544× | lower-fma.f32 |
| 272× | lower-*.f32 |
| 270× | lower-*.f64 |
| 176× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 55 |
| 0 | 19 | 55 |
| 1 | 29 | 55 |
| 2 | 54 | 55 |
| 3 | 93 | 55 |
| 4 | 188 | 55 |
| 5 | 356 | 55 |
| 6 | 509 | 55 |
| 7 | 570 | 55 |
| 8 | 637 | 55 |
| 9 | 689 | 55 |
| 10 | 817 | 55 |
| 11 | 907 | 55 |
| 12 | 914 | 55 |
| 13 | 915 | 55 |
| 0 | 915 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
x |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 y (exp.f64 z)) |
(exp.f64 z) |
z |
t |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 y (exp.f64 z)) |
(*.f64 (exp.f64 z) y) |
(exp.f64 z) |
z |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 y (exp.f64 z)) | |
| accuracy | 4.420564746854715 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | |
| accuracy | 18.28832691613611 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | |
| accuracy | 35.057710275448486 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 179.0ms | 168× | 1 | valid |
| 60.0ms | 57× | 2 | valid |
| 3.0ms | 31× | 0 | valid |
Compiled 57 to 14 computations (75.4% saved)
ival-log: 63.0ms (47.7% of total)ival-sub: 35.0ms (26.5% of total)ival-exp: 16.0ms (12.1% of total)adjust: 7.0ms (5.3% of total)ival-div: 4.0ms (3% of total)ival-mult: 3.0ms (2.3% of total)ival-add: 2.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ()) |
#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ()) |
#s(alt (*.f64 y (exp.f64 z)) (patch (*.f64 y (exp.f64 z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor -inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor -inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor -inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor -inf t) (#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | t | @ | inf | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 45.0ms | t | @ | 0 | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 41.0ms | z | @ | inf | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 18.0ms | z | @ | -inf | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 9.0ms | t | @ | -inf | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 1× | egg-herbie |
| 15 880× | lower-fma.f64 |
| 15 880× | lower-fma.f32 |
| 6 656× | lower-+.f64 |
| 6 656× | lower-+.f32 |
| 5 266× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 2420 |
| 1 | 1012 | 2316 |
| 2 | 3176 | 2227 |
| 0 | 8212 | 1752 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
1 |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
x |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
y |
(+ y (* y z)) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(- (+ 1 (* y (exp z))) y) |
(- (+ 1 (* y (exp z))) y) |
(- (+ 1 (* y (exp z))) y) |
(- (+ 1 (* y (exp z))) y) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(- (+ 1 (* y (exp z))) y) |
(- (+ 1 (* y (exp z))) y) |
(- (+ 1 (* y (exp z))) y) |
(- (+ 1 (* y (exp z))) y) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y (- (exp z) 1))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
x |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (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))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
1 |
#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 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
x |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal -1/6 binary64))) z) (/.f64 y t)) z x) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
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(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) t)) y)) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) t)) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) |
(* y (exp z)) |
(*.f64 (exp.f64 z) y) |
(* y (exp z)) |
(*.f64 (exp.f64 z) y) |
(* y (exp z)) |
(*.f64 (exp.f64 z) y) |
(* y (exp z)) |
(*.f64 (exp.f64 z) y) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
| 6 580× | lower-fma.f64 |
| 6 580× | lower-fma.f32 |
| 4 130× | lower-*.f32 |
| 4 128× | lower-*.f64 |
| 3 042× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 0 | 19 | 45 |
| 1 | 73 | 45 |
| 2 | 593 | 45 |
| 3 | 7204 | 45 |
| 0 | 8984 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
(*.f64 y (exp.f64 z)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (-.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) |
(pow.f64 (pow.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 9 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (*.f64 y y)) (+.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (*.f64 y y)) (-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)) (fma.f64 (exp.f64 z) y (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (neg.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 y y (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (neg.f64 y))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)) (fma.f64 (exp.f64 z) y (neg.f64 y))) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (neg.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
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(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (-.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)))) (-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) x) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal -1 binary64) x) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 x (/.f64 x (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(fma.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) |
(-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) x) |
(+.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) |
(*.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 1 binary64)) |
(*.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) |
(pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64)) t) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (neg.f64 t)) |
(/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) |
(neg.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log1p.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))) t)) |
(-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)) |
(-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (exp.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (exp.f64 z) y) |
(*.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 z))) |
(*.f64 y (exp.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)) |
Compiled 12 692 to 1 636 computations (87.1% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 422 | 14 | 436 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 423 | 14 | 437 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.5% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
| 46.6% | (-.f64 x (/.f64 (-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 2 binary64))))) t)) | |
| ▶ | 69.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| 33.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| 67.3% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| ▶ | 55.1% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
| 63.6% | (-.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)) | |
| ▶ | 85.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| 75.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| 81.5% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))) | |
| 84.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) | |
| ▶ | 73.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
| 81.4% | (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (pow.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) #s(literal -1 binary64)))) | |
| 34.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 462 to 350 computations (24.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 192 | (fma.f64 (exp.f64 z) y (neg.f64 y)) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) | |
| 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 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) | |
| cost-diff | 128 | (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (*.f64 (/.f64 y t) z) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) | |
| 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)) |
| 18 870× | lower-fma.f32 |
| 18 856× | lower-fma.f64 |
| 3 484× | lower-+.f64 |
| 3 484× | lower-+.f32 |
| 3 474× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 431 |
| 0 | 84 | 429 |
| 1 | 151 | 385 |
| 2 | 334 | 385 |
| 3 | 811 | 384 |
| 4 | 2234 | 384 |
| 5 | 6181 | 384 |
| 0 | 8119 | 361 |
| 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 |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
y |
t |
z |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/6 binary64) z) |
#s(literal 1/6 binary64) |
z |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(*.f64 y y) |
y |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(-.f64 y (*.f64 y y)) |
#s(literal 1/2 binary64) |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
#s(literal 1 binary64) |
t |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(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) |
x |
| 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 |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
y |
t |
z |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)))) z y) z)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)))) z y) z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)))) z y) z)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)))) z y) z) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) |
(fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)))) z y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/6 binary64) z) |
#s(literal 1/6 binary64) |
z |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) |
(*.f64 y y) |
y |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(-.f64 y (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
#s(literal 1/2 binary64) |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
#s(literal 1 binary64) |
t |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(*.f64 (expm1.f64 z) y) |
(exp.f64 z) |
z |
y |
(neg.f64 y) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) | |
| accuracy | 0 | (exp.f64 z) | |
| accuracy | 0.342107777565426 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) | |
| accuracy | 30.230947196186868 | (fma.f64 (exp.f64 z) y (neg.f64 y)) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| accuracy | 4.420564746854715 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) | |
| accuracy | 11.55535287904191 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 35.057710275448486 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) | |
| accuracy | 3.411432874108022 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) | |
| accuracy | 4.420564746854715 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t) | |
| accuracy | 12.409406810747448 | (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) | |
| accuracy | 23.231623432816868 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) | |
| accuracy | 0 | (/.f64 y t) | |
| accuracy | 0.0078125 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) | |
| accuracy | 4.6403198000900225 | (*.f64 (/.f64 y t) z) | |
| accuracy | 22.505454374024257 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) | |
| accuracy | 0.00390625 | (*.f64 (expm1.f64 z) y) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| accuracy | 4.420564746854715 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) | |
| accuracy | 12.635896231200483 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
| 157.0ms | 168× | 1 | valid |
| 77.0ms | 57× | 2 | valid |
| 9.0ms | 31× | 0 | valid |
Compiled 335 to 45 computations (86.6% saved)
ival-log: 39.0ms (20.9% of total)ival-mult: 38.0ms (20.3% of total)ival-add: 33.0ms (17.7% of total)ival-exp: 25.0ms (13.4% of total)adjust: 22.0ms (11.8% of total)ival-div: 9.0ms (4.8% of total)ival-sub: 7.0ms (3.7% of total)const: 5.0ms (2.7% of total)ival-log1p: 4.0ms (2.1% of total)ival-expm1: 2.0ms (1.1% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (expm1.f64 z) y) (patch (*.f64 (expm1.f64 z) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y t) z) (patch (*.f64 (/.f64 y t) z) #<representation binary64>) () ()) |
#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) (patch (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (exp.f64 z) y (neg.f64 y)) (patch (fma.f64 (exp.f64 z) y (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (patch (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) #<representation binary64>) () ()) |
#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | z | @ | 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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z)) |
| 29.0ms | 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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z)) |
| 15.0ms | 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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z)) |
| 11.0ms | 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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z)) |
| 11.0ms | 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)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z)) |
| 1× | egg-herbie |
| 11 128× | lower-fma.f64 |
| 11 128× | lower-fma.f32 |
| 5 880× | lower-*.f64 |
| 5 880× | lower-*.f32 |
| 3 302× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 531 | 11285 |
| 1 | 1694 | 10819 |
| 2 | 5419 | 10408 |
| 0 | 8168 | 8233 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
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(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
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(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
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(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ y t) |
(/ y t) |
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(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
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(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
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(/ -1 t) |
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(/ -1 t) |
x |
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(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
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(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
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(/ y t) |
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(/ -1 t) |
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(/ (log (- (+ 1 (* y (exp z))) y)) t) |
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(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
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(/ (* y z) t) |
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(/ (* y z) t) |
(/ (* y z) t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
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(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
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(/ (* y z) t) |
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(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
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(* y z) |
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(* 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))))))))))) |
(* y z) |
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x |
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(/ (* y z) t) |
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(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
x |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (/.f64 (neg.f64 z) t) y x) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (-.f64 y (*.f64 y y)) t) (/.f64 (neg.f64 y) t)) z x) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) t) (*.f64 (-.f64 y (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) t))) z (/.f64 (neg.f64 y) t)) z x) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) t) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t)) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) (/.f64 #s(literal 1/6 binary64) t) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) #s(literal 1/24 binary64))) z (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t)) z (/.f64 y t)) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z)) 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 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))) z)) z y) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* 1/2 (* y z)))) |
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(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
| 5 404× | lower-*.f32 |
| 5 392× | lower-*.f64 |
| 4 370× | lower-fma.f32 |
| 4 356× | lower-fma.f64 |
| 3 140× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 348 |
| 0 | 84 | 346 |
| 1 | 362 | 302 |
| 2 | 2988 | 302 |
| 0 | 8300 | 298 |
| 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) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) 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))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) |
(exp.f64 z) |
| Outputs |
|---|
(*.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))) (pow.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) #s(literal -1 binary64))) |
(*.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))) (pow.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)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (-.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)))) #s(literal -1 binary64)) |
(pow.f64 (/.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 (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)))) #s(literal -1 binary64)) |
(/.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 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))) |
(/.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 x x (-.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))))) |
(/.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 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (-.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 #s(literal 1 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)) (-.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 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) (/.f64 #s(literal -1 binary64) t) 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 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))) |
(*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (/.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) #s(literal 1 binary64)) t) |
(/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))) |
(neg.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))) #s(literal -1 binary64))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 (exp.f64 z) y y)) (pow.f64 (fma.f64 (exp.f64 z) y y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 z) y) |
(*.f64 y (expm1.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) |
(pow.f64 (/.f64 (fma.f64 (exp.f64 z) y y) (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 (exp.f64 z) y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) y) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 2 binary64)))) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 (exp.f64 z) y y))) (fma.f64 (exp.f64 z) y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) y) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 (exp.f64 z) y y))) (neg.f64 (fma.f64 (exp.f64 z) y y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 (exp.f64 z) y y)) (fma.f64 (exp.f64 z) y y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 z) y) (neg.f64 y))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 z) y y) (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 (exp.f64 z) y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (exp.f64 z) y) #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 z) y) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y (*.f64 (exp.f64 z) y)) |
(fma.f64 y (exp.f64 z) (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) (*.f64 (exp.f64 z) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) |
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 0 binary64)) y) |
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) y y)) (/.f64 (*.f64 y y) (fma.f64 (exp.f64 z) y y))) |
(-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 (exp.f64 z) y))) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(+.f64 (*.f64 (*.f64 (exp.f64 z) y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 z) y) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) |
(+.f64 (*.f64 (exp.f64 z) y) (neg.f64 y)) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) (*.f64 z y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z y) |
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) y) |
(+.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) |
(*.f64 (exp.f64 z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 z)) |
(exp.f64 z) |
Compiled 26 427 to 2 543 computations (90.4% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 080 | 12 | 1 092 |
| Fresh | 2 | 7 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 084 | 22 | 1 106 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
| 81.8% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) | |
| 75.7% | (fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) | |
| 46.6% | (-.f64 x (/.f64 (-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 2 binary64))))) t)) | |
| ✓ | 69.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| 33.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| 67.3% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| ▶ | 63.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
| 69.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) | |
| ✓ | 85.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| 75.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| 70.9% | (-.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)) | |
| 81.5% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))) | |
| ▶ | 69.7% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
| 85.5% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) | |
| 74.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) | |
| ✓ | 73.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
| 73.8% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z))) | |
| ▶ | 73.8% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
| ▶ | 75.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
| 81.4% | (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (pow.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) #s(literal -1 binary64)))) | |
| 34.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 571 to 471 computations (17.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) | |
| cost-diff | 448 | (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 y (/.f64 z t)) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) | |
| cost-diff | 0 | (*.f64 (expm1.f64 z) y) | |
| cost-diff | 0 | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
| 6 438× | lower-fma.f32 |
| 6 430× | lower-fma.f64 |
| 2 432× | lower-*.f32 |
| 2 420× | lower-*.f64 |
| 2 226× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 338 |
| 0 | 69 | 329 |
| 1 | 117 | 328 |
| 2 | 227 | 284 |
| 3 | 461 | 283 |
| 4 | 1311 | 283 |
| 5 | 3166 | 283 |
| 6 | 5716 | 283 |
| 7 | 7283 | 283 |
| 8 | 7920 | 283 |
| 0 | 8042 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
x |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) |
(*.f64 y (/.f64 z t)) |
y |
(/.f64 z t) |
z |
t |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)) |
(*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
z |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/2 binary64) |
z |
t |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) |
t |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (expm1.f64 z) y) |
(*.f64 y (expm1.f64 z)) |
(expm1.f64 z) |
z |
y |
x |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (/.f64 y t) z) |
y |
(/.f64 z t) |
z |
t |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) |
(*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z) |
(*.f64 (/.f64 y t) z) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) |
(/.f64 y t) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
z |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/2 binary64) |
z |
t |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) |
#s(literal 1 binary64) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) |
t |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
(fma.f64 y z #s(literal 1 binary64)) |
z |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0272364080022913 | (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) | |
| accuracy | 4.146427483215499 | (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) | |
| accuracy | 11.55535287904191 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 35.057710275448486 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) | |
| accuracy | 2.1931873494381757 | (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z) | |
| accuracy | 3.6146379413880654 | (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) | |
| accuracy | 4.420564746854715 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t) | |
| accuracy | 24.040725709807777 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) | |
| accuracy | 0.0078125 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) | |
| accuracy | 0.19921875 | (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) | |
| accuracy | 4.6403198000900225 | (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z) | |
| accuracy | 22.505454374024257 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.0078125 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) | |
| accuracy | 4.747204914462766 | (*.f64 y (/.f64 z t)) | |
| accuracy | 22.505454374024257 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) | |
| accuracy | 0 | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| accuracy | 0 | (expm1.f64 z) | |
| accuracy | 0.00390625 | (*.f64 (expm1.f64 z) y) | |
| accuracy | 0.342107777565426 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
| 243.0ms | 219× | 1 | valid |
| 31.0ms | 31× | 0 | valid |
| 11.0ms | 6× | 2 | valid |
Compiled 269 to 39 computations (85.5% saved)
ival-mult: 78.0ms (34.2% of total)ival-log: 54.0ms (23.7% of total)ival-div: 33.0ms (14.5% of total)ival-exp: 19.0ms (8.3% of total)adjust: 15.0ms (6.6% of total)ival-add: 9.0ms (3.9% of total)ival-expm1: 9.0ms (3.9% of total)ival-sub: 6.0ms (2.6% of total)ival-log1p: 4.0ms (1.8% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (*.f64 (expm1.f64 z) y)) (patch (log1p.f64 (*.f64 (expm1.f64 z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (expm1.f64 z) y) (patch (*.f64 (expm1.f64 z) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 z t)) (patch (*.f64 y (/.f64 z t)) #<representation binary64>) () ()) |
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z) (patch (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (patch (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (expm1.f64 z) (patch (expm1.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) (patch (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 y (/.f64 z t)) (patch (*.f64 y (/.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 y (/.f64 z t)) (patch (*.f64 y (/.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 y (/.f64 z t)) (patch (*.f64 y (/.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 y (/.f64 z t)) (patch (*.f64 y (/.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ y t) (taylor 0 t) (#s(alt (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ y t) (taylor 0 t) (#s(alt (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ y t) (taylor 0 t) (#s(alt (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ y t) (taylor 0 t) (#s(alt (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)) (patch #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) (patch (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 81.0ms | z | @ | -inf | ((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- (exp z) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (- 1 y) (* y (exp z)))) |
| 57.0ms | z | @ | inf | ((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- (exp z) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (- 1 y) (* y (exp z)))) |
| 40.0ms | t | @ | 0 | ((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- (exp z) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (- 1 y) (* y (exp z)))) |
| 29.0ms | t | @ | inf | ((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- (exp z) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (- 1 y) (* y (exp z)))) |
| 20.0ms | x | @ | inf | ((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (- (exp z) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (+ (- 1 y) (* y (exp z)))) |
| 1× | egg-herbie |
| 7 004× | lower-fma.f64 |
| 7 004× | lower-fma.f32 |
| 5 280× | lower-*.f64 |
| 5 280× | lower-*.f32 |
| 3 478× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 675 | 11623 |
| 1 | 2143 | 10986 |
| 2 | 7241 | 10892 |
| 0 | 8213 | 8699 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ -1 t) |
(/ -1 t) |
(/ -1 t) |
(/ -1 t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
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(+ (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)))) |
(* -1/2 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 z) 1)) y)) (* -1/2 (pow z 2)))) |
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 z) 1)) y)) (* -1/2 (pow z 2)))) |
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 z) 1)) y)) (* -1/2 (pow z 2)))) |
(/ (+ (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))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ t (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))) |
(+ (/ t (* y (* (+ 1 (* -1 (exp z))) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))) (/ t (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (- (+ (* -1 (/ t (* y (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 3))))) (* -1/2 (/ t (* y (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))))) (/ t (* (+ 1 (* -1 (exp z))) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))) y)) (/ t (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ t (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 3)))) (* -1/2 (/ t (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2))))) (* y (* (+ 1 (* -1 (exp z))) (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))))) (+ (* 1/3 (/ t (* y (* (pow (+ 1 (* -1 (exp z))) 3) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2))))) (* 1/2 (/ t (* y (* (pow (+ 1 (* -1 (exp z))) 3) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 3))))))) (+ (* -1 (/ t (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 3)))) (* -1/2 (/ t (* (pow (+ 1 (* -1 (exp z))) 2) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))))) y)) (/ t (* (+ 1 (* -1 (exp z))) (pow (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) 2)))) y)) (/ t (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))))) |
(+ (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)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 z) 1) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 z) 1) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 z) 1) y)) (* -1/2 z))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
x |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
| Outputs |
|---|
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
x |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
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(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (/.f64 (fma.f64 (/.f64 t (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 (neg.f64 t) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64)))) (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) (/.f64 t y) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) (/.f64 t y) (-.f64 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64))))))) y) (/.f64 (/.f64 t (neg.f64 (expm1.f64 z))) (pow.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)))) y) (/.f64 t (-.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)))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 z)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) y)) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 z) 1) y)) (* -1/2 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 z) 1) y)) (* -1/2 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 z) 1) y)) (* -1/2 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(*.f64 (expm1.f64 z) y) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal -1 binary64) y) (expm1.f64 z))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal -1 binary64) y) (expm1.f64 z))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal -1 binary64) y) (expm1.f64 z))) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
x |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
| 4 438× | lower-fma.f32 |
| 4 430× | lower-fma.f64 |
| 4 178× | lower-*.f32 |
| 4 166× | lower-*.f64 |
| 4 002× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 294 |
| 0 | 69 | 285 |
| 1 | 281 | 280 |
| 2 | 2128 | 278 |
| 0 | 8829 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) |
(*.f64 y (/.f64 z t)) |
(/.f64 z t) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)) |
(*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) |
(expm1.f64 z) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 t #s(literal 1 binary64)) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(/.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 t) (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 t) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 t) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(/.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) |
(/.f64 t (*.f64 #s(literal 1 binary64) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))) |
(neg.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) (/.f64 t (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (/.f64 (expm1.f64 z) #s(literal 1 binary64))) |
(*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (expm1.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (expm1.f64 (*.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 z))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.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)))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (exp.f64 z) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (expm1.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (expm1.f64 (*.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (expm1.f64 (*.f64 z #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (expm1.f64 (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (exp.f64 z) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 z) #s(literal -1 binary64)) |
(expm1.f64 z) |
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (-.f64 (exp.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 z) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 (exp.f64 z) #s(literal 1 binary64)) |
(+.f64 (exp.f64 z) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 z)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64))) (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y y) |
(fma.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) |
(fma.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y z) y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) |
(fma.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) |
(fma.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) y) |
(+.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
Compiled 23 127 to 2 602 computations (88.7% saved)
25 alts after pruning (18 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 233 | 7 | 1 240 |
| Fresh | 3 | 11 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 237 | 25 | 1 262 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
| ▶ | 81.8% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
| 75.7% | (fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) | |
| 69.7% | (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) #s(literal -1 binary64))))) | |
| 46.6% | (-.f64 x (/.f64 (-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 2 binary64))))) t)) | |
| ✓ | 69.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| 33.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 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 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) | |
| ✓ | 85.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ▶ | 70.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
| 56.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) | |
| ▶ | 75.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| ✓ | 69.7% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
| 33.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))))) | |
| 85.5% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) | |
| 78.8% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) | |
| ▶ | 86.4% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
| 74.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) | |
| ✓ | 73.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
| 73.8% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z))) | |
| ✓ | 73.8% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
| ✓ | 75.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
| 81.4% | (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (pow.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) #s(literal -1 binary64)))) | |
| ▶ | 86.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x)) |
| 34.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 652 to 529 computations (18.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x)) | |
| cost-diff | 640 | (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) | |
| cost-diff | 0 | #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y)) | |
| cost-diff | 0 | (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (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)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) | |
| cost-diff | 0 | #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
| 3 932× | lower-fma.f32 |
| 3 924× | lower-fma.f64 |
| 2 676× | lower-*.f32 |
| 2 666× | lower-*.f64 |
| 1 540× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 430 |
| 0 | 82 | 427 |
| 1 | 141 | 381 |
| 2 | 263 | 381 |
| 3 | 470 | 372 |
| 4 | 859 | 372 |
| 5 | 1567 | 372 |
| 6 | 3525 | 372 |
| 7 | 6531 | 372 |
| 0 | 8081 | 362 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) |
#s(literal 1 binary64) |
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) |
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) |
(fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) |
(*.f64 t y) |
t |
y |
#s(literal 1/2 binary64) |
(/.f64 t (expm1.f64 z)) |
(expm1.f64 z) |
z |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) |
(*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z) |
#s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) |
#s(literal 1/2 binary64) |
(*.f64 z y) |
z |
y |
t |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) |
#s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
x |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x)) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
(neg.f64 x) |
x |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
(*.f64 x t) |
t |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)))) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) |
#s(literal 1 binary64) |
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) |
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) |
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y) |
(fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) |
(*.f64 t y) |
(*.f64 y t) |
t |
y |
#s(literal 1/2 binary64) |
(/.f64 t (expm1.f64 z)) |
(expm1.f64 z) |
z |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)) z)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)) z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)) z)) |
(*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z) |
(*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)) z) |
#s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) |
#s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)) |
(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 |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
(-.f64 x (/.f64 (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) t)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) |
#s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
x |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(neg.f64 x) |
x |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
(*.f64 x t) |
(*.f64 t x) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x)) | |
| accuracy | 0.00390625 | (*.f64 (expm1.f64 z) y) | |
| accuracy | 2.4085964631107912 | (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) | |
| accuracy | 9.552546622234972 | (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) | |
| accuracy | 0.342107777565426 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) | |
| accuracy | 17.842655912565256 | #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y)) | |
| accuracy | 2.1931873494381757 | (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z) | |
| accuracy | 4.420564746854715 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t) | |
| accuracy | 9.206670458817026 | #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) | |
| accuracy | 24.040725709807777 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| accuracy | 4.420564746854715 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) | |
| accuracy | 23.734355153224076 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) | |
| accuracy | 0.6015625000000001 | (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) | |
| accuracy | 1.0272364080022913 | (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) | |
| accuracy | 5.493718665538476 | (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) | |
| accuracy | 11.103278428247961 | #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) |
| 274.0ms | 219× | 1 | valid |
| 14.0ms | 6× | 2 | valid |
| 13.0ms | 31× | 0 | valid |
Compiled 314 to 49 computations (84.4% saved)
ival-mult: 65.0ms (26.5% of total)ival-log: 43.0ms (17.5% of total)adjust: 36.0ms (14.7% of total)ival-exp: 24.0ms (9.8% of total)ival-sub: 21.0ms (8.6% of total)ival-div: 21.0ms (8.6% of total)ival-add: 14.0ms (5.7% of total)ival-log1p: 10.0ms (4.1% of total)ival-expm1: 8.0ms (3.3% of total)ival-neg: 2.0ms (0.8% of total)exact: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) (patch #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) (patch (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z) (patch (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ()) |
#s(alt (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) (patch (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y)) (patch #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) (patch (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x)) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (patch (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) (patch (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) (patch #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (expm1.f64 z) y) (patch (*.f64 (expm1.f64 z) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ t (log (- (+ 1 (* y (exp z))) y))) (taylor 0 t) (#s(alt #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) (patch #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ t (log (- (+ 1 (* y (exp z))) y))) (taylor 0 t) (#s(alt #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) (patch #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ t (log (- (+ 1 (* y (exp z))) y))) (taylor 0 t) (#s(alt #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) (patch #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ t (log (- (+ 1 (* y (exp z))) y))) (taylor 0 t) (#s(alt #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) (patch #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) (patch (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) (patch (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) (patch (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) (patch (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (- (+ 1 (* y (exp z))) y)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) (taylor 0 t) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | t | @ | -inf | ((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (* (- (exp z) 1) y)) |
| 32.0ms | t | @ | 0 | ((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (* (- (exp z) 1) y)) |
| 24.0ms | t | @ | inf | ((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (* (- (exp z) 1) y)) |
| 20.0ms | z | @ | -inf | ((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (* (- (exp z) 1) y)) |
| 20.0ms | z | @ | inf | ((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) z) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (* (- (exp z) 1) y)) |
| 1× | egg-herbie |
| 9 428× | lower-fma.f64 |
| 9 428× | lower-fma.f32 |
| 6 638× | lower-*.f64 |
| 6 638× | lower-*.f32 |
| 4 190× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 821 | 13157 |
| 1 | 2630 | 12566 |
| 0 | 8639 | 10043 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
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(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
x |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) y) |
(/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) y) |
(/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) y) |
(/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) y) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) |
(* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) |
(* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) |
(* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) y) |
(/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) y) |
(/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) y) |
(/ (* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) y) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
x |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) |
(* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) |
(* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) |
(* t (+ (* 1/2 y) (/ 1 (- (exp z) 1)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (expm1.f64 z))) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/ t (log (- (+ 1 (* y (exp z))) y))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(* -1 (/ (* t (- (* -1/2 y) (/ 1 (- (exp z) 1)))) y)) |
(/.f64 (*.f64 (neg.f64 t) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z)))) y) |
(* -1 (/ (* t (- (* -1/2 y) (/ 1 (- (exp z) 1)))) y)) |
(/.f64 (*.f64 (neg.f64 t) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z)))) y) |
(* -1 (/ (* t (- (* -1/2 y) (/ 1 (- (exp z) 1)))) y)) |
(/.f64 (*.f64 (neg.f64 t) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z)))) y) |
(* -1 (/ (* t (- (* -1/2 y) (/ 1 (- (exp z) 1)))) y)) |
(/.f64 (*.f64 (neg.f64 t) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) (expm1.f64 z)))) y) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
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(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) (neg.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
x |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
| 5 304× | lower-*.f32 |
| 5 294× | lower-*.f64 |
| 4 210× | lower-fma.f32 |
| 4 202× | lower-fma.f64 |
| 3 272× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 375 |
| 0 | 82 | 372 |
| 1 | 371 | 326 |
| 2 | 3029 | 326 |
| 0 | 8354 | 316 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))) |
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) |
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) |
(*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) |
#s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y)) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x)) |
(neg.f64 x) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) |
#s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) |
(*.f64 (expm1.f64 z) y) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64))) (pow.f64 (+.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64))) (pow.f64 (fma.f64 x x (+.f64 (/.f64 x #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (+.f64 (/.f64 x #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (/.f64 x #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64))) (+.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64))) (fma.f64 x x (+.f64 (/.f64 x #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 (/.f64 x #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64)) x) |
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(*.f64 t (fma.f64 #s(literal 1/2 binary64) y (pow.f64 (expm1.f64 z) #s(literal -1 binary64)))) |
(*.f64 t (+.f64 (pow.f64 (expm1.f64 z) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 t (expm1.f64 z)) (-.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))))) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64))) (-.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 t (expm1.f64 z)) (-.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 t (expm1.f64 z)) (-.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 t (expm1.f64 z)) (-.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))))) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 t (expm1.f64 (*.f64 z #s(literal 2 binary64)))) (+.f64 (exp.f64 z) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(fma.f64 (/.f64 t (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) y (/.f64 t (expm1.f64 z))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) t (/.f64 t (expm1.f64 z))) |
(fma.f64 (pow.f64 (expm1.f64 z) #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(fma.f64 (pow.f64 (expm1.f64 z) #s(literal -1 binary64)) t (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(fma.f64 (neg.f64 t) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) |
(fma.f64 (*.f64 y t) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) |
(fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) |
(fma.f64 t (*.f64 #s(literal 1/2 binary64) y) (/.f64 t (expm1.f64 z))) |
(fma.f64 t (pow.f64 (expm1.f64 z) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(fma.f64 #s(literal 1 binary64) (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z)))) (/.f64 (pow.f64 (/.f64 t (expm1.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y t)) (/.f64 t (expm1.f64 z))) |
(+.f64 (/.f64 t (expm1.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y t))) |
#s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 z)) y) |
(*.f64 (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 (exp.f64 z) y y)) (pow.f64 (fma.f64 (exp.f64 z) y y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 z) y) |
(*.f64 y (expm1.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) |
(pow.f64 (/.f64 (fma.f64 (exp.f64 z) y y) (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 (exp.f64 z) y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) y) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 2 binary64)))) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) y) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 (exp.f64 z) y y))) (neg.f64 (fma.f64 (exp.f64 z) y y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 (exp.f64 z) y y)) (fma.f64 (exp.f64 z) y y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 (exp.f64 z) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 z) y y) (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 (exp.f64 z) y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (exp.f64 z) y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) y (*.f64 (exp.f64 z) y)) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) (*.f64 (exp.f64 z) y)) |
(fma.f64 y (exp.f64 z) (neg.f64 y)) |
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 0 binary64)) y) |
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) y y)) (/.f64 (*.f64 y y) (fma.f64 (exp.f64 z) y y))) |
(-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 (exp.f64 z) y))) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(+.f64 (neg.f64 y) (*.f64 (exp.f64 z) y)) |
(+.f64 (*.f64 (exp.f64 z) y) (neg.f64 y)) |
Compiled 21 244 to 2 295 computations (89.2% saved)
27 alts after pruning (18 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 092 | 8 | 1 100 |
| Fresh | 3 | 10 | 13 |
| Picked | 1 | 4 | 5 |
| Done | 2 | 5 | 7 |
| Total | 1 098 | 27 | 1 125 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
| ✓ | 81.8% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
| 69.7% | (-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) #s(literal -1 binary64))))) | |
| ✓ | 69.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| 33.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 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 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) | |
| ✓ | 85.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ✓ | 70.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
| 56.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) | |
| ✓ | 75.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 33.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))))) | |
| 78.8% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) | |
| 81.5% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) | |
| 47.6% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 t y) #s(literal 1/2 binary64))) y)))) | |
| 87.7% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) | |
| 73.6% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) | |
| 49.7% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) | |
| 74.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) | |
| ✓ | 73.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
| 73.8% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z))) | |
| ✓ | 75.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
| 81.4% | (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (pow.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) #s(literal -1 binary64)))) | |
| 95.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x)) | |
| ✓ | 86.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x)) |
| 73.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (*.f64 x t)) x)) | |
| 79.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (*.f64 y (/.f64 (/.f64 (expm1.f64 z) x) t))) x)) | |
| 34.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 978 to 561 computations (42.6% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) 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 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 t y) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (*.f64 x t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (*.f64 y (/.f64 (/.f64 (expm1.f64 z) x) t))) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))) |
(-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) #s(literal -1 binary64))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x)) |
(*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (pow.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) #s(literal -1 binary64)))) |
(-.f64 x (/.f64 (-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 2 binary64))))) t)) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
9 calls:
| 32.0ms | t |
| 32.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 27.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 20.0ms | x |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | z |
| 99.5% | 1 | t |
| 99.5% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 99.5% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 99.5% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 99.5% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 99.5% | 1 | (exp.f64 z) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) 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 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 t y) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (*.f64 x t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (*.f64 y (/.f64 (/.f64 (expm1.f64 z) x) t))) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
9 calls:
| 321.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 35.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 34.0ms | z |
| 9.0ms | y |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 1 | x |
| 95.3% | 3 | y |
| 92.9% | 2 | z |
| 87.7% | 1 | t |
| 93.6% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 99.2% | 5 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 99.6% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 99.6% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 92.9% | 2 | (exp.f64 z) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) 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 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 t y) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (*.f64 x t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (*.f64 y (/.f64 (/.f64 (expm1.f64 z) x) t))) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
2 calls:
| 37.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 7.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 96.3% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) 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 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 t y) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (*.f64 x t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (*.f64 y (/.f64 (/.f64 (expm1.f64 z) x) t))) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) |
4 calls:
| 25.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 22.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 9.0ms | y |
| 7.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 2 | y |
| 93.6% | 3 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 93.5% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 93.5% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 29 to 34 computations (-17.2% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) 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 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 t y) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 z y))) (*.f64 x t)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (*.f64 y (/.f64 (/.f64 (expm1.f64 z) x) t))) x)) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
6 calls:
| 10.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 9.0ms | z |
| 8.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 7.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 6.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 92.3% | 3 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 91.1% | 2 | (exp.f64 z) |
| 91.2% | 2 | z |
| 93.4% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 93.4% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 44 to 51 computations (-15.9% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) 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 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 t y) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.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)) |
9 calls:
| 31.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 8.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 8.0ms | y |
| 8.0ms | x |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.6% | 1 | x |
| 85.6% | 1 | t |
| 85.6% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 87.5% | 2 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 85.6% | 1 | (exp.f64 z) |
| 90.5% | 3 | y |
| 85.6% | 1 | z |
| 87.7% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 87.7% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) 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 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 t y) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
3 calls:
| 7.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 7.0ms | y |
| 5.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 87.7% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 85.6% | 1 | y |
Compiled 18 to 23 computations (-27.8% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) 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 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 t y) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
9 calls:
| 9.0ms | x |
| 9.0ms | t |
| 8.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 7.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 7.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 86.6% | 2 | y |
| 84.9% | 1 | x |
| 84.9% | 1 | t |
| 84.9% | 1 | z |
| 84.9% | 1 | (exp.f64 z) |
| 86.5% | 2 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 87.1% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 87.1% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) 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 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 t y) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 t (/.f64 t y)) (/.f64 t y)) z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) |
9 calls:
| 22.0ms | t |
| 6.0ms | x |
| 6.0ms | y |
| 6.0ms | z |
| 6.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 81.5% | 1 | x |
| 81.5% | 1 | z |
| 81.5% | 1 | (exp.f64 z) |
| 81.5% | 1 | t |
| 81.5% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 81.5% | 1 | y |
| 81.5% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 81.5% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) 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 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 t y) #s(literal 1/2 binary64))) y)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t)) |
9 calls:
| 9.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 5.0ms | t |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 1 | t |
| 75.7% | 1 | x |
| 79.6% | 2 | z |
| 75.7% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 79.4% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 79.4% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 75.7% | 1 | y |
| 75.7% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 79.6% | 2 | (exp.f64 z) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) 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 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (*.f64 (*.f64 t y) #s(literal 1/2 binary64))) y)))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.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)) |
2 calls:
| 13.0ms | (exp.f64 z) |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.4% | 2 | z |
| 79.4% | 2 | (exp.f64 z) |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ 1 (+ (* (exp z) y) (neg y)))) (*.f64 z y)) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
4 calls:
| 3.0ms | z |
| 2.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 2.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 2.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.4% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 79.4% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 79.4% | 2 | (exp.f64 z) |
| 79.4% | 2 | z |
Compiled 20 to 28 computations (-40% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
4 calls:
| 2.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 2.0ms | z |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 1.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 2 | z |
| 78.8% | 2 | (exp.f64 z) |
| 78.4% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 78.4% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 20 to 28 computations (-40% saved)
Total -1.7b remaining (-10.7%)
Threshold costs -1.7b (-10.7%)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
9 calls:
| 2.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 75.1% | 1 | t |
| 75.1% | 1 | x |
| 75.1% | 1 | y |
| 75.1% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 75.1% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 75.1% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 75.1% | 1 | (exp.f64 z) |
| 75.1% | 1 | z |
Compiled 47 to 63 computations (-34% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 7.039590756483109 |
| 82.0ms | 0.0 | 0.9999999999761424 |
Compiled 16 to 19 computations (-18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.6045730842765888e+67 | 1.2578463880866806e+70 |
| 0.0ms | 0.0 | 0.9999999999761424 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999999761424 |
Compiled 16 to 19 computations (-18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 7.039590756483109 |
| 0.0ms | 0.0 | 0.9999999999761424 |
Compiled 16 to 19 computations (-18.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 90.0ms | 9.616321310899408e+162 | 4.7589606593326387e+173 |
| 48.0ms | -3.1371642764352e+209 | -4.665474624908204e+206 |
| 84.0ms | 222× | 1 | valid |
| 20.0ms | 82× | 1 | invalid |
| 7.0ms | 102× | 0 | invalid |
| 5.0ms | 66× | 0 | valid |
Compiled 358 to 397 computations (-10.9% saved)
ival-exp: 42.0ms (43.6% of total)ival-log: 19.0ms (19.7% of total)ival-div: 10.0ms (10.4% of total)ival-sub: 8.0ms (8.3% of total)adjust: 7.0ms (7.3% of total)ival-mult: 5.0ms (5.2% of total)ival-add: 4.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 7.039590756483109 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 7.039590756483109 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.7582003051722812e-295 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | -109769.56064073618 | -678.2480240295436 |
| 12.0ms | 37× | 1 | valid |
| 7.0ms | 75× | 0 | valid |
| 2.0ms | 25× | 0 | invalid |
Compiled 177 to 194 computations (-9.6% saved)
ival-log: 8.0ms (50.3% of total)ival-sub: 2.0ms (12.6% of total)ival-exp: 2.0ms (12.6% of total)ival-add: 1.0ms (6.3% of total)ival-div: 1.0ms (6.3% of total)adjust: 1.0ms (6.3% of total)ival-mult: 1.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 7.039590756483109 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | -109769.56064073618 | -678.2480240295436 |
| 25.0ms | 58× | 0 | valid |
| 6.0ms | 22× | 1 | valid |
| 0.0ms | 6× | 0 | invalid |
Compiled 135 to 166 computations (-23% saved)
ival-log: 24.0ms (83.4% of total)ival-sub: 1.0ms (3.5% of total)ival-div: 1.0ms (3.5% of total)adjust: 1.0ms (3.5% of total)ival-exp: 1.0ms (3.5% of total)ival-mult: 1.0ms (3.5% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 76× | +-commutative-binary64-+.f64 |
| 76× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 72× | *-commutative-binary64-*.f64 |
| 50× | neg-sub0-binary64--.f64-neg.f64 |
| 50× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 895 |
| 1 | 184 | 895 |
| 2 | 255 | 895 |
| 3 | 304 | 895 |
| 4 | 343 | 895 |
| 5 | 353 | 895 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 49999999999999997640261112569083403345625645676430849265210811744256 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y))))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))))) |
(if (<=.f64 y #s(literal -24499999999999997958790994687099904333761759836508311305722875710016912658304209835555263093235501945389700349400616151647511142123982404965772026566579704033527482566638090128047276623951833331847760300736512 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 13499999999999999960141813995465377030770980479476642074213416287188873714856109197748714346874580073419512109149516492458658482847862227267482137827271982327005184 binary64)) (-.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)))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t))) |
(if (<=.f64 z #s(literal -20000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) (-.f64 x (/.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))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))) |
(if (<=.f64 z #s(literal -52000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))) x) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 y (expm1.f64 z)))) t)))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 49999999999999997640261112569083403345625645676430849265210811744256 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 49999999999999997640261112569083403345625645676430849265210811744256 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y)))))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y))))))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (fma.f64 #s(literal 1/2 binary64) t (/.f64 (/.f64 t (expm1.f64 z)) y))))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 z y))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))))) |
(if (<=.f64 y #s(literal -24499999999999997958790994687099904333761759836508311305722875710016912658304209835555263093235501945389700349400616151647511142123982404965772026566579704033527482566638090128047276623951833331847760300736512 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 13499999999999999960141813995465377030770980479476642074213416287188873714856109197748714346874580073419512109149516492458658482847862227267482137827271982327005184 binary64)) (-.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)))) |
(if (<=.f64 y #s(literal -24499999999999997958790994687099904333761759836508311305722875710016912658304209835555263093235501945389700349400616151647511142123982404965772026566579704033527482566638090128047276623951833331847760300736512 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 13499999999999999960141813995465377030770980479476642074213416287188873714856109197748714346874580073419512109149516492458658482847862227267482137827271982327005184 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 t y) t) t) z)) y)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 y t) t) t) z)) y)))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)) z y) z)) t))) |
(if (<=.f64 z #s(literal -20000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) (-.f64 x (/.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))) |
(if (<=.f64 z #s(literal -20000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z))) t))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))) |
(if (<=.f64 z #s(literal -52000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))))) |
(if (<=.f64 z #s(literal -52000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
| 15 880× | lower-fma.f64 |
| 15 880× | lower-fma.f32 |
| 11 128× | lower-fma.f64 |
| 11 128× | lower-fma.f32 |
| 9 428× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 0 | 19 | 45 |
| 1 | 73 | 45 |
| 2 | 593 | 45 |
| 3 | 7204 | 45 |
| 0 | 8984 | 38 |
| 0 | 821 | 13157 |
| 1 | 2630 | 12566 |
| 0 | 8639 | 10043 |
| 0 | 335 | 2420 |
| 1 | 1012 | 2316 |
| 2 | 3176 | 2227 |
| 0 | 8212 | 1752 |
| 0 | 531 | 11285 |
| 1 | 1694 | 10819 |
| 2 | 5419 | 10408 |
| 0 | 8168 | 8233 |
| 0 | 675 | 11623 |
| 1 | 2143 | 10986 |
| 2 | 7241 | 10892 |
| 0 | 8213 | 8699 |
| 0 | 48 | 348 |
| 0 | 84 | 346 |
| 1 | 362 | 302 |
| 2 | 2988 | 302 |
| 0 | 8300 | 298 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 171 to 768 computations (34.4% saved)
Compiled 986 to 298 computations (69.8% saved)
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