
Time bar (total: 20.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 3.1% | 3.1% | 96.7% | 0.2% | 0% | 0% | 0% | 8 |
| 4.7% | 4.7% | 95.1% | 0.2% | 0% | 0% | 0% | 9 |
| 4.7% | 4.7% | 95.1% | 0.2% | 0% | 0% | 0% | 10 |
| 16.4% | 16.4% | 83.4% | 0.2% | 0% | 0% | 0% | 11 |
| 18.8% | 17.5% | 76% | 0.2% | 0% | 6.2% | 0% | 12 |
Compiled 15 to 14 computations (6.7% saved)
| 3.9s | 4 565× | 1 | valid |
| 1.5s | 3 691× | 0 | valid |
| 1.1s | 1 224× | 5 | exit |
| 399.0ms | 662× | 1 | invalid |
| 288.0ms | 1 764× | 0 | invalid |
| 240.0ms | 416× | 4 | exit |
ival-log: 2.9s (51.4% of total)ival-exp: 993.0ms (17.7% of total)ival-mult: 491.0ms (8.7% of total)adjust: 372.0ms (6.6% of total)ival-sub: 358.0ms (6.4% of total)ival-div: 338.0ms (6% of total)ival-add: 156.0ms (2.8% of total)ival-true: 10.0ms (0.2% of total)exact: 8.0ms (0.1% of total)ival-assert: 5.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 152 | 51 | (2.260517632726237e+189 -1.287231176830584e-112 -5.0176769480620276e-234 -4.253708207469414e-279) | 0 | - | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 70 | 8 | (4.1005096814645334e-144 54306026863468.125 2.0806092323561745e-137 9.055354687219524e+37) | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 21 | 0 | - | 3 | (-5.9588097715444585e+75 6.396535148488805e-95 -9.118560855956898e-225 -4.495724609836061e-145) | (/.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 | 202 | 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 | 3 | 0 |
| ↳ | (exp.f64 z) | underflow | 61 | |
| ↳ | (*.f64 y (exp.f64 z)) | underflow | 61 | |
| ↳ | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | underflow | 51 | |
log.f64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | oflow-rescue | 1 | 0 |
| ↳ | (exp.f64 z) | overflow | 1 | |
| ↳ | (*.f64 y (exp.f64 z)) | overflow | 1 | |
| ↳ | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 87 | 6 |
| - | 130 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 87 | 0 | 6 |
| - | 130 | 0 | 33 |
| number | freq |
|---|---|
| 0 | 39 |
| 1 | 194 |
| 2 | 23 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 397.0ms | 318× | 1 | valid |
| 67.0ms | 122× | 2 | valid |
| 7.0ms | 72× | 0 | valid |
Compiled 131 to 40 computations (69.5% saved)
ival-exp: 298.0ms (68% of total)ival-log: 72.0ms (16.4% of total)adjust: 25.0ms (5.7% of total)ival-sub: 22.0ms (5% of total)ival-div: 9.0ms (2.1% of total)ival-mult: 7.0ms (1.6% of total)ival-add: 5.0ms (1.1% of total)ival-true: 1.0ms (0.2% of total)ival-assert: 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 y (expm1.f64 z))) t)) |
Compiled 17 to 12 computations (29.4% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.1% | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
Compiled 17 to 12 computations (29.4% 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 y (expm1.f64 z))) t)) |
x |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 y (exp.f64 z)) |
(exp.f64 z) |
z |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (*.f64 y (exp.f64 z)) | |
| accuracy | 4.464729988662531 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | |
| accuracy | 16.599125866747986 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | |
| accuracy | 34.25082076711028 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 79.0ms | 159× | 1 | valid |
| 44.0ms | 61× | 2 | valid |
| 36.0ms | 36× | 0 | valid |
Compiled 57 to 14 computations (75.4% saved)
ival-log: 43.0ms (39.2% of total)ival-exp: 34.0ms (31% of total)adjust: 17.0ms (15.5% of total)ival-sub: 6.0ms (5.5% of total)ival-div: 4.0ms (3.6% of total)ival-mult: 3.0ms (2.7% of total)ival-add: 3.0ms (2.7% 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 (taylor 0 y) (#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 (+ 1 (* y (- (exp z) 1))) (taylor 0 y) (#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 (+ 1 (* y (- (exp z) 1))) (taylor 0 y) (#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 (+ 1 (* y (- (exp z) 1))) (taylor 0 y) (#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 (* y (- (exp z) 1)) (taylor inf y) (#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 (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#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 (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#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 (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#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 (* -1 (* y (+ 1 (* -1 (exp z))))) (taylor -inf y) (#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 (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#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 (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#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 (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#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 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>) () ())) ()) |
#s(alt (+ 1 (* y z)) (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>) () ())) ()) |
#s(alt (+ 1 (* z (+ y (* 1/2 (* y z))))) (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>) () ())) ()) |
#s(alt (+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) (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>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf 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>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf 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>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf 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>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf 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>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf 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>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf 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>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf 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>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf 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>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor 0 y) (#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 (* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) (taylor 0 y) (#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 (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) (taylor 0 y) (#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 (* 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)) (taylor 0 y) (#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 (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (taylor inf y) (#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>) () ())) ()) |
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#s(alt (* y (exp z)) (taylor inf z) (#s(alt (*.f64 y (exp.f64 z)) (patch (*.f64 y (exp.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (exp z)) (taylor -inf z) (#s(alt (*.f64 y (exp.f64 z)) (patch (*.f64 y (exp.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (exp z)) (taylor -inf z) (#s(alt (*.f64 y (exp.f64 z)) (patch (*.f64 y (exp.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (exp z)) (taylor -inf z) (#s(alt (*.f64 y (exp.f64 z)) (patch (*.f64 y (exp.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (exp z)) (taylor -inf z) (#s(alt (*.f64 y (exp.f64 z)) (patch (*.f64 y (exp.f64 z)) #<representation binary64>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | z | @ | inf | (log (+ (- 1 y) (* y (exp z)))) |
| 26.0ms | t | @ | inf | (/ (log (+ (- 1 y) (* y (exp z)))) t) |
| 26.0ms | z | @ | -inf | (log (+ (- 1 y) (* y (exp z)))) |
| 12.0ms | t | @ | 0 | (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) |
| 12.0ms | t | @ | 0 | (/ (log (+ (- 1 y) (* y (exp z)))) t) |
| 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 | 2380 |
| 1 | 1012 | 2276 |
| 2 | 3164 | 2227 |
| 0 | 8211 | 1752 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y (- (exp z) 1))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* -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 |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* 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) |
(- (+ 1 (* y (exp z))) y) |
(- (+ 1 (* y (exp z))) y) |
(- (+ 1 (* y (exp z))) y) |
(- (+ 1 (* y (exp z))) y) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(+ (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))))) |
(+ (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)))) |
(* 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))))))))))) |
(log (- (+ 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)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(* -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))) |
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)))) |
(- 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))))) |
(- 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))) |
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)))) |
(- 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)) |
(- 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)) |
(* -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) |
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))) |
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))) |
(/ (* 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))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (* y z) 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))) |
(/ (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) |
(/ (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) |
(/ (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)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
y |
(+ y (* y z)) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
(* y (exp z)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 y (+.f64 (expm1.f64 z) (/.f64 #s(literal 1 binary64) y))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 y (+.f64 (expm1.f64 z) (/.f64 #s(literal 1 binary64) y))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 y (+.f64 (expm1.f64 z) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(*.f64 y (expm1.f64 z)) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y z)) |
(fma.f64 y z #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(*.f64 y (*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(*.f64 y (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (expm1.f64 z) #s(literal -1/2 binary64))) (expm1.f64 z))) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(*.f64 y (fma.f64 y (fma.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 4 binary64))) (*.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (expm1.f64 z) #s(literal -1/2 binary64)))) (expm1.f64 z))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (+.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 y y))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 (log.f64 y) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 y y))))))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 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 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))))) y)) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (+.f64 (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64)))))) y))) |
(* y z) |
(*.f64 y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y)) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
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(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
y |
(+ y (* y z)) |
(fma.f64 y z y) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
(* y (exp z)) |
(*.f64 y (exp.f64 z)) |
| 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 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) (neg.f64 y))) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(+.f64 (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) |
(+.f64 (neg.f64 y) (fma.f64 y (exp.f64 z) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))))) |
(+.f64 (fma.f64 y (exp.f64 z) #s(literal 1 binary64)) (neg.f64 y)) |
(+.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) (neg.f64 y) y)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))) (/.f64 (*.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (*.f64 y (exp.f64 z)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (*.f64 y (exp.f64 z)))) |
(-.f64 (fma.f64 y (exp.f64 z) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (-.f64 (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) |
(-.f64 (fma.f64 y (exp.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y (exp.f64 z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (+.f64 (fma.f64 y (exp.f64 z) #s(literal 1 binary64)) #s(literal 0 binary64)) y) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (fma.f64 y (exp.f64 z) #s(literal 1 binary64))) |
(fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 y #s(literal -1 binary64) (fma.f64 y (exp.f64 z) #s(literal 1 binary64))) |
(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)) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))))) |
(fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (*.f64 y (exp.f64 z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (*.f64 y (exp.f64 z))) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (fma.f64 y (exp.f64 z) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 y (exp.f64 z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 y (exp.f64 z))) |
(fma.f64 #s(literal -1 binary64) y (fma.f64 y (exp.f64 z) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) (*.f64 y (exp.f64 z))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 y (exp.f64 z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (exp.f64 z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (exp.f64 z))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 y (exp.f64 z))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (*.f64 y (exp.f64 z))) |
(fma.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))))) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 z #s(literal 3 binary64)))))) (fma.f64 (*.f64 y (exp.f64 z)) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (exp.f64 z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (*.f64 y (exp.f64 z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 y (exp.f64 z))) |
(neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 z #s(literal 3 binary64)))))) (fma.f64 (*.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y)))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y y) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 z #s(literal 3 binary64))))) (fma.f64 (*.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))))) |
(/.f64 (fma.f64 (*.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 z #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (*.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (fma.f64 (exp.f64 z) (neg.f64 y) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y)))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 z #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y)) (fma.f64 (*.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (fma.f64 (*.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))))) (fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 t t))) (/.f64 (pow.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 t t))))) (fma.f64 x (/.f64 x (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) (/.f64 (pow.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 t t))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 x t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)))) (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))) (fma.f64 x x (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)))) |
(*.f64 (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)) (*.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))))) |
(*.f64 (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)) (/.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))) |
(*.f64 (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))))) |
(*.f64 (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (/.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))) |
(*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64)))) (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) (-.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64)))) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (-.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) x) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t))) |
(-.f64 (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 z #s(literal 3 binary64)))))) t) (/.f64 (log.f64 (fma.f64 (*.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))))) t)) |
(-.f64 (/.f64 (log.f64 (fma.f64 (*.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) t) (/.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)))) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t))) |
(neg.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t))) |
(neg.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))) |
(/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) |
(/.f64 (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) (neg.f64 t)) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64)) t) |
(pow.f64 (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) |
(*.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))) |
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))) |
(*.f64 y (exp.f64 z)) |
(*.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 z))) |
(*.f64 (exp.f64 z) y) |
(*.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y) |
Compiled 14 180 to 1 566 computations (89% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 423 | 13 | 436 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 424 | 13 | 437 |
| Status | Accuracy | Program |
|---|---|---|
| 84.9% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) x) | |
| 71.1% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t)) | |
| 70.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t)) | |
| ▶ | 75.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) |
| 74.2% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| ▶ | 63.0% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) |
| 67.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t)) | |
| ▶ | 77.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
| ▶ | 98.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
| 83.4% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) | |
| 67.2% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t))))) | |
| 83.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) (/.f64 (expm1.f64 z) t))))) | |
| ▶ | 27.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
Compiled 470 to 292 computations (37.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (expm1.f64 z)) | |
| cost-diff | 0 | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| cost-diff | 0 | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) | |
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) | |
| cost-diff | 128 | (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) | |
| cost-diff | 0 | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
| 20 846× | lower-fma.f32 |
| 20 834× | lower-fma.f64 |
| 4 956× | lower-*.f32 |
| 4 944× | lower-*.f64 |
| 2 626× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 454 |
| 0 | 79 | 462 |
| 1 | 150 | 462 |
| 2 | 347 | 406 |
| 3 | 881 | 406 |
| 4 | 2984 | 406 |
| 5 | 5567 | 406 |
| 0 | 8203 | 383 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 y (expm1.f64 z)) |
y |
(expm1.f64 z) |
z |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) |
(*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)) |
z |
(fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) |
(fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) |
(*.f64 y y) |
y |
(fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 z #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) |
#s(literal 1/2 binary64) |
(fma.f64 y (neg.f64 y) y) |
(neg.f64 y) |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
(fma.f64 y z #s(literal 1 binary64)) |
y |
z |
#s(literal 1 binary64) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 y (expm1.f64 z)) |
y |
(expm1.f64 z) |
z |
(neg.f64 t) |
t |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 y (expm1.f64 z)) |
y |
(expm1.f64 z) |
z |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) y))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) y))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) y))) |
(*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)) |
(*.f64 z (fma.f64 z (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) y)) |
z |
(fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) |
(fma.f64 z (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) |
(*.f64 y (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) |
(*.f64 y y) |
y |
(fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 z #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(fma.f64 y (neg.f64 y) y) |
(-.f64 y (*.f64 y y)) |
(neg.f64 y) |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
(fma.f64 y z #s(literal 1 binary64)) |
y |
z |
#s(literal 1 binary64) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 y (expm1.f64 z)) |
y |
(expm1.f64 z) |
z |
(neg.f64 t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 y (expm1.f64 z)) | |
| accuracy | 0.24209579733058337 | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| accuracy | 4.464729988662531 | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) | |
| accuracy | 45.75882546195523 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) | |
| accuracy | 4.464729988662531 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) | |
| accuracy | 10.593516188211485 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) | |
| accuracy | 34.25082076711028 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) | |
| accuracy | 4.10716193600977 | (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) | |
| accuracy | 4.464729988662531 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t) | |
| accuracy | 10.103173108862133 | (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) | |
| accuracy | 21.29001138347144 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) | |
| accuracy | 4.464729988662531 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) | |
| accuracy | 21.55804010084951 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) | |
| accuracy | 0.0078125 | (*.f64 y (expm1.f64 z)) | |
| accuracy | 0.24209579733058337 | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| accuracy | 4.464729988662531 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
| 142.0ms | 61× | 2 | valid |
| 130.0ms | 159× | 1 | valid |
| 12.0ms | 36× | 0 | valid |
Compiled 359 to 40 computations (88.9% saved)
ival-log: 70.0ms (32.7% of total)ival-exp: 36.0ms (16.8% of total)ival-mult: 30.0ms (14% of total)adjust: 21.0ms (9.8% of total)ival-expm1: 14.0ms (6.5% of total)ival-add: 14.0ms (6.5% of total)ival-div: 11.0ms (5.1% of total)ival-sub: 6.0ms (2.8% of total)const: 5.0ms (2.3% of total)ival-log1p: 4.0ms (1.9% of total)ival-neg: 2.0ms (0.9% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (*.f64 y (expm1.f64 z))) (patch (log1p.f64 (*.f64 y (expm1.f64 z))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) (patch (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) (patch (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) (patch (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (patch (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (expm1.f64 z)) (patch (*.f64 y (expm1.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 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)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 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)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 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)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (/ 1 t) (/ (exp z) t)))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ 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)))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) (taylor inf y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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))))) (taylor inf y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* y z) t))) (taylor 0 z) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) (taylor 0 z) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ 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)))) (taylor 0 z) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor inf z) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor inf z) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor inf z) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor inf z) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor -inf z) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor -inf z) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor -inf z) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor -inf z) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) 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)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 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)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 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)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())) ()) |
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#s(alt (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))) (taylor 0 z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2))))))) (taylor 0 z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2))))))) (taylor 0 z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) (taylor inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z)))) (taylor inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2))))) (taylor inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2))))) (taylor inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) (taylor -inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z)))) (taylor -inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) (taylor -inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* z (+ 1/2 (* 1/6 z))))) (taylor 0 y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z)))))) (taylor 0 y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z)))))) (taylor 0 y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z)))))) (taylor 0 y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (pow y 3) (pow z 2))) (taylor inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) y))) (taylor inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) (taylor inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) (taylor inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (pow y 3) (pow z 2))) (taylor -inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2))))) (taylor -inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) (taylor -inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) (taylor -inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ()) |
168 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | z | @ | inf | (log (+ 1 (* y (- (exp z) 1)))) |
| 20.0ms | t | @ | 0 | (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) |
| 18.0ms | z | @ | -inf | (log (+ 1 (* y (- (exp z) 1)))) |
| 6.0ms | t | @ | inf | (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) |
| 5.0ms | y | @ | -inf | (log (+ (- 1 y) (* y (exp z)))) |
| 1× | egg-herbie |
| 11 462× | lower-fma.f64 |
| 11 462× | lower-fma.f32 |
| 5 976× | lower-*.f64 |
| 5 976× | lower-*.f32 |
| 2 992× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 569 | 11961 |
| 1 | 1833 | 11384 |
| 2 | 5956 | 11217 |
| 0 | 8175 | 8822 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))) |
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)))) |
(- 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))))) |
(- 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))) |
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)))) |
(- 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)) |
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(* -1 (/ (* y (- (exp z) 1)) t)) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t)))))))) |
(* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) |
(- (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) |
(- (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1))))) |
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))) |
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y))) |
(* -1 (/ (* y z) t)) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)))))))) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y z) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 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)) |
(+ (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))))) |
(+ (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)))) |
(* 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))))))))))) |
(log (- (+ 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)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
y |
(+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))) |
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2))))))) |
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2))))))) |
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z)))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2))))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2))))) |
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* y (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z)))))) |
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z)))))) |
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z)))))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) |
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))) x) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) |
x |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(fma.f64 (expm1.f64 z) (/.f64 y (neg.f64 t)) x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) t) (/.f64 (expm1.f64 z) t)) x) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t)) (neg.f64 (/.f64 (expm1.f64 z) t))) x) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(+.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 t (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(-.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 t (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 t (*.f64 y (*.f64 y y)))))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) t)) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) t)) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 t (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (expm1.f64 z))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t)))))) y)) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) t)) |
x |
(+ x (* -1 (/ (* y z) t))) |
(-.f64 x (/.f64 (*.f64 y z) t)) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 z (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y))) z) t) (/.f64 y t)) 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 z (fma.f64 z (-.f64 (/.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) t) (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t)) (/.f64 y (neg.f64 t))) x) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
x |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(/ (* y (- (exp z) 1)) t) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 y (fma.f64 (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t) #s(literal -1/2 binary64) (/.f64 (expm1.f64 z) 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))) |
(*.f64 y (fma.f64 y (fma.f64 y (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) t))) (/.f64 (expm1.f64 z) 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))) |
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) (/.f64 y t)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t))) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) t))) (/.f64 (expm1.f64 z) t))) |
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(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y z) |
(*.f64 y z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(*.f64 y (fma.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) #s(literal -1/2 binary64) (expm1.f64 z))) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(*.f64 y (fma.f64 y (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (expm1.f64 z))) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (expm1.f64 z))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (+.f64 (log.f64 y) (/.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (+.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 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 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))))) |
(+ (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 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 z)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) y)) |
(* y z) |
(*.f64 y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y)) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 z (fma.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y))) y)) |
(* 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 z (fma.f64 z (fma.f64 z (fma.f64 (+.f64 y (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 12 binary64)) (*.f64 (*.f64 y y) #s(literal -7 binary64))))) (*.f64 z #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
y |
(+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))) |
(fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y) |
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2))))))) |
(fma.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y))) y) |
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2))))))) |
(fma.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y))) y) |
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (*.f64 z (*.f64 z #s(literal 1/6 binary64)))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) z)) (*.f64 z z)) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (*.f64 y y)) z) (/.f64 y (*.f64 z z))))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (*.f64 y y)) z) (/.f64 y (*.f64 z z))))) |
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (*.f64 z (*.f64 z #s(literal 1/6 binary64)))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) z)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(*.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) z)) z))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(*.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) z)) z))) |
(* y (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z)))))) |
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) |
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z)))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) |
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z)))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) y))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (*.f64 z #s(literal 1/3 binary64)) (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y))) |
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (fma.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) #s(literal -1/2 binary64) (/.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) (fma.f64 z (*.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (fma.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) #s(literal -1/2 binary64) (/.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) (fma.f64 z (*.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (*.f64 z #s(literal 1/3 binary64)) (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) |
(*.f64 (-.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) y)) y)) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) |
(*.f64 (-.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) y)) y)) (neg.f64 (*.f64 y (*.f64 y y)))) |
| 5 546× | lower-*.f32 |
| 5 534× | lower-*.f64 |
| 4 054× | lower-fma.f32 |
| 4 042× | lower-fma.f64 |
| 3 344× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 360 |
| 0 | 79 | 360 |
| 1 | 346 | 360 |
| 2 | 2986 | 360 |
| 0 | 8467 | 346 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) |
(*.f64 y z) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(*.f64 y (expm1.f64 z)) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) |
(fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) |
| Outputs |
|---|
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(*.f64 (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 z z)))))) |
(*.f64 (*.f64 (fma.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) y) (-.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) y))) |
Compiled 28 397 to 1 904 computations (93.3% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 019 | 25 | 1 044 |
| Fresh | 7 | 1 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 028 | 29 | 1 057 |
| Status | Accuracy | Program |
|---|---|---|
| 75.0% | (fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) | |
| 77.7% | (fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x) | |
| 21.0% | (/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))))) | |
| 36.2% | (/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) | |
| 74.2% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| 72.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t)) | |
| 71.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t)) | |
| ▶ | 62.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
| ▶ | 85.0% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) |
| ✓ | 77.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
| ✓ | 98.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
| 76.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))) t)) | |
| ▶ | 78.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
| 84.0% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) | |
| 75.0% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) | |
| 77.7% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) | |
| 67.2% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t))))) | |
| 40.5% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (/.f64 #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)))) | |
| ✓ | 27.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
| 18.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t))) | |
| 17.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) (neg.f64 t))) | |
| 17.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t))) | |
| 19.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t))) | |
| 11.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t))) | |
| 16.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t))) | |
| 14.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) | |
| 27.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))) | |
| ▶ | 13.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
| ▶ | 17.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) |
Compiled 1 065 to 605 computations (43.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) | |
| cost-diff | 0 | (*.f64 y (/.f64 (expm1.f64 z) t)) | |
| cost-diff | 0 | (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))) | |
| cost-diff | 0 | #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) | |
| cost-diff | 0 | (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) | |
| cost-diff | 0 | (/.f64 y (neg.f64 t)) | |
| cost-diff | 0 | (*.f64 z (/.f64 y (neg.f64 t))) | |
| cost-diff | 0 | #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) | |
| cost-diff | 0 | (*.f64 y (expm1.f64 z)) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) |
| 25 244× | lower-fma.f32 |
| 25 242× | lower-fma.f64 |
| 4 650× | lower-*.f32 |
| 4 628× | lower-*.f64 |
| 2 670× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 598 |
| 0 | 96 | 598 |
| 1 | 194 | 593 |
| 2 | 465 | 559 |
| 3 | 1105 | 559 |
| 4 | 3029 | 549 |
| 5 | 6890 | 549 |
| 0 | 8444 | 494 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) |
(*.f64 y (expm1.f64 z)) |
y |
(expm1.f64 z) |
z |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))) |
(*.f64 z (/.f64 y (neg.f64 t))) |
z |
(/.f64 y (neg.f64 t)) |
y |
(neg.f64 t) |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) |
(*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))) |
z |
#s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(*.f64 y y) |
y |
(*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))) |
#s(literal 1/3 binary64) |
(*.f64 y (*.f64 z z)) |
(*.f64 z z) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) |
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))) |
(neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
y |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 z) |
z |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) |
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) |
#s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) |
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) |
z |
(fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) |
y |
(*.f64 z #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
t |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) |
(*.f64 y (expm1.f64 z)) |
y |
(expm1.f64 z) |
z |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (*.f64 y (neg.f64 z)) t))) |
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))) |
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (*.f64 y (neg.f64 z)) t)) |
(*.f64 z (/.f64 y (neg.f64 t))) |
(/.f64 (*.f64 y (neg.f64 z)) t) |
z |
(/.f64 y (neg.f64 t)) |
y |
(neg.f64 t) |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64)))))))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64)))))))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64)))))))) |
(*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))) |
(*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64))))))) |
z |
#s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))) |
#s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64)))))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64))))) |
(*.f64 y y) |
y |
(*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))) |
(*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64)))) |
#s(literal 1/3 binary64) |
(*.f64 y (*.f64 z z)) |
(*.f64 z z) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t)))) |
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))) |
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))) |
(neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))) |
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 y (expm1.f64 z)) t) |
y |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 z) |
z |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) |
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) |
#s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) |
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) |
z |
(fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) |
y |
(*.f64 z #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) | |
| accuracy | 0.24209579733058337 | (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) | |
| accuracy | 4.464729988662531 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t) | |
| accuracy | 16.83786424801027 | #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) | |
| accuracy | 0.00390625 | (/.f64 (expm1.f64 z) t) | |
| accuracy | 3.302860729542596 | (*.f64 y (/.f64 (expm1.f64 z) t)) | |
| accuracy | 12.51859367581079 | #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))) | |
| accuracy | 45.75882546195523 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) | |
| accuracy | 4.981395445836919 | (*.f64 y (*.f64 z z)) | |
| accuracy | 7.487505337180966 | (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) | |
| accuracy | 21.29001138347144 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) | |
| accuracy | 48.458273627978095 | #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 3.5465501547194234 | (*.f64 z (/.f64 y (neg.f64 t))) | |
| accuracy | 20.065422072490957 | #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))) | |
| accuracy | 45.75882546195523 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) | |
| accuracy | 0.0078125 | (*.f64 y (expm1.f64 z)) | |
| accuracy | 4.464729988662531 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t) | |
| accuracy | 12.83506231002494 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) |
| 184.0ms | 159× | 1 | valid |
| 104.0ms | 61× | 2 | valid |
| 16.0ms | 36× | 0 | valid |
Compiled 341 to 52 computations (84.8% saved)
ival-mult: 64.0ms (25.1% of total)ival-div: 49.0ms (19.2% of total)ival-log: 34.0ms (13.4% of total)ival-expm1: 26.0ms (10.2% of total)adjust: 23.0ms (9% of total)ival-exp: 22.0ms (8.6% of total)ival-add: 13.0ms (5.1% of total)const: 7.0ms (2.7% of total)ival-sub: 6.0ms (2.4% of total)ival-neg: 5.0ms (2% of total)ival-log1p: 4.0ms (1.6% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (expm1.f64 z)) (patch (*.f64 y (expm1.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))) (patch #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 y (neg.f64 t))) (patch (*.f64 z (/.f64 y (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (neg.f64 t)) (patch (/.f64 y (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))) (patch (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))) (patch #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))) (patch (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 (expm1.f64 z) t)) (patch (*.f64 y (/.f64 (expm1.f64 z) t)) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (patch (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))) (patch #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) (patch (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 z z)) (patch (*.f64 y (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (expm1.f64 z) t) (patch (/.f64 (expm1.f64 z) t) #<representation binary64>) () ()) |
#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 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 y (expm1.f64 z))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 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 y (expm1.f64 z))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 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 y (expm1.f64 z))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (- (exp z) 1)) (taylor 0 y) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor inf y) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor inf y) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor inf y) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor inf y) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor -inf y) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor -inf y) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor -inf y) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor -inf y) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (* 1/2 (* y z)))) (taylor 0 z) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) (taylor 0 z) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) (taylor 0 z) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor inf z) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor inf z) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor inf z) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor inf z) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor -inf z) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor -inf z) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor -inf z) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (exp z) 1)) (taylor -inf z) (#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (patch #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (* 1/2 (* y z)))) (taylor 0 z) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (* 1/2 (* y z)))) (taylor 0 z) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (* 1/2 (* y z)))) (taylor 0 z) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y (pow z 2))) (taylor inf z) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* 1/2 y) (/ y z))) (taylor inf z) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* 1/2 y) (/ y z))) (taylor inf z) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* 1/2 y) (/ y z))) (taylor inf z) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y (pow z 2))) (taylor -inf z) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* 1/2 y) (/ y z))) (taylor -inf z) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* 1/2 y) (/ y z))) (taylor -inf z) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* 1/2 y) (/ y z))) (taylor -inf z) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (+ 1 (* 1/2 z)))) (taylor 0 y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (+ 1 (* 1/2 z)))) (taylor 0 y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (+ 1 (* 1/2 z)))) (taylor 0 y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (+ 1 (* 1/2 z)))) (taylor 0 y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (+ 1 (* 1/2 z)))) (taylor inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (+ 1 (* 1/2 z)))) (taylor inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (+ 1 (* 1/2 z)))) (taylor inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (+ 1 (* 1/2 z)))) (taylor inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (* z (- (* -1/2 z) 1)))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (* z (- (* -1/2 z) 1)))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (* z (- (* -1/2 z) 1)))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (* z (- (* -1/2 z) 1)))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
213 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | t | @ | -inf | (neg (* y (/ (- (exp z) 1) t))) |
| 1.0ms | y | @ | 0 | (* (* y y) (* 1/3 (* y (* z z)))) |
| 1.0ms | z | @ | 0 | (* (* y y) (* 1/3 (* y (* z z)))) |
| 1.0ms | t | @ | 0 | (* z (/ y (neg t))) |
| 1.0ms | t | @ | inf | (* z (/ y (neg t))) |
| 1× | egg-herbie |
| 8 982× | lower-fma.f64 |
| 8 982× | lower-fma.f32 |
| 5 952× | lower-*.f64 |
| 5 952× | lower-*.f32 |
| 3 086× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 618 | 13173 |
| 1 | 2043 | 12612 |
| 2 | 6797 | 12454 |
| 0 | 8384 | 10042 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))) |
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)))) |
(- 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))))) |
(- 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))) |
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)))) |
(- 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)) |
(- 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)) |
(* -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) |
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))) |
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))) |
(/ (* 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))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (* y z) 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))) |
(/ (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) |
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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 (- (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)) |
(+ (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))))) |
(+ (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)))) |
(* 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))))))))))) |
(log (- (+ 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)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(+ (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))))) |
(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y)))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y)))) |
(* 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))))))))))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
y |
(+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))) |
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2))))))) |
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2))))))) |
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z)))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2))))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2))))) |
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* y (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z)))))) |
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z)))))) |
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z)))))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) |
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(/ z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y z) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y z) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* 1/2 (* y z)))) |
(* 1/2 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* 1/2 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))) x) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) |
x |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(fma.f64 (expm1.f64 z) (/.f64 y (neg.f64 t)) x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (/.f64 y t)) (neg.f64 (/.f64 (expm1.f64 z) t))) x) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 y (-.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (*.f64 #s(literal -1/3 binary64) (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t))))) (/.f64 (expm1.f64 z) t)) x) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(+.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(+.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 z) (*.f64 y t))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 t (*.f64 y y)))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 t (*.f64 y y)))) (-.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 t (*.f64 y (*.f64 y y)))))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 t (*.f64 y y)))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (expm1.f64 z))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 y t))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t)))))) y)) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
x |
(+ x (* -1 (/ (* y z) t))) |
(-.f64 x (/.f64 (*.f64 y z) t)) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 z (-.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) (*.f64 z #s(literal -1/2 binary64))) (/.f64 y t)) 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 z (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 y (*.f64 y y)) t) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) z) t)) (/.f64 y (neg.f64 t))) x) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
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(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y) (/.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) (fma.f64 z (*.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y) (/.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) (fma.f64 z (*.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y) (*.f64 #s(literal 1/3 binary64) (*.f64 z z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) |
(neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (*.f64 z #s(literal -1/3 binary64)) (/.f64 (-.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) y)) (neg.f64 y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) |
(neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (*.f64 z #s(literal -1/3 binary64)) (/.f64 (-.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) y)) (neg.f64 y))))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 y (*.f64 z z)) |
(/ z t) |
(/.f64 z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(fma.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) t) (/.f64 z t)) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(fma.f64 z (*.f64 z (fma.f64 z (/.f64 #s(literal 1/6 binary64) t) (/.f64 #s(literal 1/2 binary64) t))) (/.f64 z t)) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 z t)) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y z) |
(*.f64 y z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y)) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y z) |
(*.f64 y z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)) |
(* 1/2 (* y (pow z 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z z))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z)))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z)))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z)))) |
(* 1/2 (* y (pow z 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z z))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z)))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z)))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z)))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (neg.f64 z))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (neg.f64 z))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (neg.f64 z))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (neg.f64 z))) |
| 5 426× | lower-*.f32 |
| 5 404× | lower-*.f64 |
| 3 952× | lower-fma.f32 |
| 3 950× | lower-fma.f64 |
| 3 176× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 552 |
| 0 | 96 | 552 |
| 1 | 394 | 547 |
| 2 | 3190 | 535 |
| 0 | 8299 | 496 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) |
(*.f64 y (expm1.f64 z)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))) |
(*.f64 z (/.f64 y (neg.f64 t))) |
(/.f64 y (neg.f64 t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) |
(*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) |
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))) |
(neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) |
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) |
(neg.f64 t) |
#s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))) |
(*.f64 y (*.f64 z z)) |
(/.f64 (expm1.f64 z) t) |
#s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) |
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) (neg.f64 t)) x) |
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(+.f64 (log1p.f64 (neg.f64 (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (-.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))))))) |
(-.f64 (log1p.f64 (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))))) (log1p.f64 (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (-.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))))) (log.f64 (fma.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (-.f64 #s(literal 1 binary64) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))))) |
(-.f64 (log1p.f64 (neg.f64 (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))))) (log1p.f64 (neg.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (-.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) #s(literal 1 binary64))) (log.f64 (-.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (-.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))))))) |
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 t)) |
(-.f64 #s(literal 0 binary64) t) |
(neg.f64 t) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)) |
(*.f64 t #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) t) |
#s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/3 binary64))))) |
(*.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 z z))) |
(*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 y y))) |
(*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y y) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/3 binary64))) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y (*.f64 z z))) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (*.f64 z z) (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 z z)) y) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 z z))) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/3 binary64))) (*.f64 z z)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) y) (*.f64 z z)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z) |
(*.f64 y (*.f64 z z)) |
(*.f64 z (*.f64 y z)) |
(*.f64 (*.f64 z z) y) |
(*.f64 (*.f64 y z) z) |
(+.f64 (/.f64 (exp.f64 z) t) (/.f64 #s(literal -1 binary64) t)) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (expm1.f64 z))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (exp.f64 z) t) (/.f64 #s(literal 1 binary64) t)) |
(fma.f64 (exp.f64 z) (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal -1 binary64) t)) |
(neg.f64 (neg.f64 (/.f64 (expm1.f64 z) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (expm1.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (expm1.f64 z)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (neg.f64 (expm1.f64 z)) (neg.f64 t)) |
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 t (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (expm1.f64 z)))) |
(/.f64 (expm1.f64 (+.f64 z z)) (*.f64 t (+.f64 #s(literal 1 binary64) (exp.f64 z)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z))) t)) |
(/.f64 (*.f64 (expm1.f64 (+.f64 z z)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) t)) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 z))) t) |
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) t) (*.f64 (/.f64 (exp.f64 z) t) (/.f64 #s(literal 1 binary64) t))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 (exp.f64 z) t) (/.f64 #s(literal 1 binary64) t))) |
(/.f64 (*.f64 (expm1.f64 z) #s(literal 1 binary64)) t) |
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) t)) (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z)))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 z z)) (/.f64 #s(literal 1 binary64) t)) (+.f64 #s(literal 1 binary64) (exp.f64 z))) |
(/.f64 (/.f64 (neg.f64 (expm1.f64 z)) #s(literal -1 binary64)) t) |
(/.f64 (-.f64 (neg.f64 (exp.f64 z)) #s(literal -1 binary64)) (neg.f64 t)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 t) (*.f64 (/.f64 t (exp.f64 z)) #s(literal 1 binary64))) (*.f64 (/.f64 t (exp.f64 z)) (neg.f64 t))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) #s(literal 1 binary64)) (*.f64 (/.f64 t (exp.f64 z)) #s(literal 1 binary64))) (*.f64 (/.f64 t (exp.f64 z)) (/.f64 (neg.f64 t) #s(literal 1 binary64)))) |
(/.f64 (+.f64 t (*.f64 (/.f64 t (exp.f64 z)) #s(literal -1 binary64))) (*.f64 (/.f64 t (exp.f64 z)) t)) |
(/.f64 (fma.f64 (exp.f64 z) (neg.f64 t) (*.f64 t #s(literal 1 binary64))) (*.f64 t (neg.f64 t))) |
(/.f64 (fma.f64 (exp.f64 z) (/.f64 (neg.f64 t) #s(literal 1 binary64)) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 (neg.f64 t) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 z)) (neg.f64 t) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 t t)) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 z)) (/.f64 (neg.f64 t) #s(literal 1 binary64)) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) (/.f64 (neg.f64 t) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 z)) t (*.f64 (neg.f64 t) #s(literal -1 binary64))) (*.f64 (neg.f64 t) t)) |
(pow.f64 (/.f64 t (expm1.f64 z)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 t (expm1.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (expm1.f64 z)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 t (expm1.f64 (*.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z))))) |
(*.f64 (pow.f64 (/.f64 t (expm1.f64 (+.f64 z z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 z)))) |
#s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) |
(*.f64 #s(literal 1 binary64) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) |
(*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 y z)) |
(+.f64 (*.f64 y z) (*.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64))) |
(fma.f64 y z (*.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z) (*.f64 y z)) |
(fma.f64 z y (*.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64))) |
(fma.f64 z (*.f64 y (*.f64 z #s(literal 1/2 binary64))) (*.f64 y z)) |
(fma.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64) (*.f64 y z)) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y z) (*.f64 y z)) |
(fma.f64 (*.f64 y (*.f64 z #s(literal 1/2 binary64))) z (*.f64 y z)) |
(fma.f64 (*.f64 y z) (*.f64 z #s(literal 1/2 binary64)) (*.f64 y z)) |
(fma.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y (*.f64 y z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64))) (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 y z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64))) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 y z))) |
(/.f64 (*.f64 z (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64))))) (fma.f64 y (-.f64 y (*.f64 y (*.f64 z #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 z (-.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (neg.f64 y))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64)))) z) (fma.f64 y (-.f64 y (*.f64 y (*.f64 z #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y)) z) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (neg.f64 y))) |
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) |
(*.f64 (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) z) |
Compiled 20 258 to 1 441 computations (92.9% saved)
34 alts after pruning (26 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 111 | 11 | 1 122 |
| Fresh | 6 | 15 | 21 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 117 | 34 | 1 151 |
| Status | Accuracy | Program |
|---|---|---|
| 75.0% | (fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) | |
| 78.3% | (fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) t) x) | |
| 21.0% | (/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))))) | |
| ▶ | 74.2% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| 71.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t)) | |
| 64.1% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t)) | |
| ✓ | 62.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
| ✓ | 85.0% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) |
| ✓ | 77.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
| ✓ | 98.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
| 76.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))))) t)) | |
| ✓ | 78.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
| ▶ | 84.0% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
| ▶ | 71.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
| 70.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)) | |
| 73.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t)) | |
| ▶ | 75.0% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
| 40.5% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (/.f64 #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)))) | |
| ✓ | 27.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
| 18.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t))) | |
| 17.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) (neg.f64 t))) | |
| 17.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t))) | |
| 19.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t))) | |
| 11.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t))) | |
| 16.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t))) | |
| 14.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) | |
| 27.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))) | |
| 14.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) | |
| 4.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))))) | |
| 6.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))))) | |
| ✓ | 13.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
| 13.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y)))) | |
| ✓ | 17.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) |
| ▶ | 14.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
Compiled 1 173 to 670 computations (42.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) | |
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| cost-diff | 0 | #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) | |
| cost-diff | 0 | (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) | |
| cost-diff | 0 | (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))) | |
| cost-diff | 0 | #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) | |
| cost-diff | 0 | (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
| 24 392× | lower-fma.f32 |
| 24 386× | lower-fma.f64 |
| 5 322× | lower-*.f32 |
| 5 314× | lower-*.f64 |
| 3 280× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 586 |
| 0 | 91 | 586 |
| 1 | 191 | 582 |
| 2 | 449 | 578 |
| 3 | 1128 | 574 |
| 4 | 3423 | 566 |
| 5 | 5746 | 566 |
| 0 | 8539 | 467 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) |
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) |
#s(approx (* y (- (exp z) 1)) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
(neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))) |
(*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) |
y |
#s(approx (/ (- (exp z) 1) t) (/.f64 z t)) |
(/.f64 z t) |
z |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) |
#s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))) |
(*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) |
y |
(fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) |
z |
(*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
t |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) |
t |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
(fma.f64 y z #s(literal 1 binary64)) |
y |
z |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) |
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) |
#s(approx (* y (- (exp z) 1)) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (neg.f64 y)))) |
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (neg.f64 y))) |
(neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (neg.f64 y)) |
(*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) |
y |
#s(approx (/ (- (exp z) 1) t) (/.f64 z t)) |
(/.f64 z t) |
z |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) z)))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) z)))) |
#s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))) |
#s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) z))) |
(*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) |
(*.f64 y (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) z)) |
y |
(fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) |
(fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) z) |
z |
(*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
t |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 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 y z #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 y z #s(literal 1 binary64))))) |
t |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
(fma.f64 y z #s(literal 1 binary64)) |
y |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.6970986627739331 | (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) | |
| accuracy | 4.423895972947097 | (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) | |
| accuracy | 10.392657815887564 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) | |
| accuracy | 34.25082076711028 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| accuracy | 4.464729988662531 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) | |
| accuracy | 12.62372970577786 | #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) | |
| accuracy | 34.25082076711028 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) | |
| accuracy | 2.1432097304989766 | (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) | |
| accuracy | 4.464729988662531 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t) | |
| accuracy | 6.586096316299413 | #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))) | |
| accuracy | 21.04787453777453 | #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) | |
| accuracy | 3.302860729542596 | (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) | |
| accuracy | 12.279398287293567 | #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) | |
| accuracy | 16.415916460609008 | #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) | |
| accuracy | 45.52072138075925 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) | |
| accuracy | 0.24209579733058337 | (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) | |
| accuracy | 4.464729988662531 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) | |
| accuracy | 16.408931539339545 | #s(approx (* y (- (exp z) 1)) (*.f64 y z)) |
| 229.0ms | 215× | 1 | valid |
| 19.0ms | 35× | 0 | valid |
| 12.0ms | 5× | 2 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 326 to 52 computations (84% saved)
ival-log: 45.0ms (21.6% of total)ival-mult: 42.0ms (20.2% of total)ival-exp: 32.0ms (15.4% of total)adjust: 22.0ms (10.6% of total)ival-add: 18.0ms (8.6% of total)ival-div: 16.0ms (7.7% of total)ival-expm1: 13.0ms (6.2% of total)ival-sub: 7.0ms (3.4% of total)const: 5.0ms (2.4% of total)ival-neg: 4.0ms (1.9% of total)ival-log1p: 3.0ms (1.4% of total)exact: 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)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (patch (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (patch #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))) (patch (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (patch (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))) (patch #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) (patch (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) (patch (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) (patch #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #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 y z #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 y z #s(literal 1 binary64))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) (patch (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 y z)) (patch #s(approx (* y (- (exp z) 1)) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (patch #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 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)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 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)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 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)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 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)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 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)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 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)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (/ 1 t) (/ (exp z) t)))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ 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)))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ()) |
#s(alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) (taylor inf y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (exp z) 1) t) (taylor 0 t) (#s(alt #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (patch #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp z) 1) t) (taylor inf t) (#s(alt #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (patch #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp z) 1) t) (taylor inf t) (#s(alt #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (patch #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp z) 1) t) (taylor inf t) (#s(alt #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (patch #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp z) 1) t) (taylor inf t) (#s(alt #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (patch #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp z) 1) t) (taylor -inf t) (#s(alt #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (patch #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp z) 1) t) (taylor -inf t) (#s(alt #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (patch #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (exp z) 1) t) (taylor -inf t) (#s(alt #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (patch #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* z (+ y (* 1/2 (* y z)))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) (taylor inf z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* y (pow z 3))) (taylor -inf z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow z 3) (+ (* -1/2 (/ y z)) (* -1/6 y)))) (taylor -inf z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) (taylor -inf z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* z (+ y (* 1/2 (* y z))))) (taylor 0 z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) (taylor 0 z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
198 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (/ t (log (+ (- 1 y) (* y (exp z))))) |
| 1.0ms | y | @ | inf | (/ t (log (+ (- 1 y) (* y (exp z))))) |
| 1.0ms | z | @ | 0 | (/ t (log (+ (- 1 y) (* y (exp z))))) |
| 1.0ms | y | @ | 0 | (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) |
| 1.0ms | y | @ | 0 | (/ t (log (+ (- 1 y) (* y (exp z))))) |
| 1× | egg-herbie |
| 9 488× | lower-fma.f64 |
| 9 488× | lower-fma.f32 |
| 7 140× | lower-*.f64 |
| 7 140× | lower-*.f32 |
| 4 134× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 753 | 14091 |
| 1 | 2452 | 13390 |
| 0 | 8537 | 10704 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))) |
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)))) |
(- 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))))) |
(- 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))) |
x |
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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) |
(/ (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) |
(/ (* 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))) |
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(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
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(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (* y z) 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))) |
(/ (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)) |
(- 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))) |
(* -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) |
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))) |
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))) |
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)))) |
(- 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))))) |
(- 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))) |
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)))) |
(- 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)) |
(- 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)) |
(/ 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 (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) 1))) |
(/ (+ (* 1/2 (* t y)) (/ t (- (exp z) 1))) y) |
(/ (+ (* y (- (* -1 (* y (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y) |
(/ (+ (* y (- (* y (- (* -1 (* y (+ (* -1/4 (* t (pow (- (exp z) 1) 2))) (+ (* 1/6 (* t (pow (- (exp z) 1) 2))) (* 1/2 (* (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))) (- (exp z) 1))))))) (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y) |
(/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))) |
(+ (* -1 (/ t (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1))))) (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2)))) (* -1/2 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (pow y 2))) (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))) (/ t (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2)))) (* -1/2 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (* (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (- (exp z) 1)))) (+ (* 1/3 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 3)))) (* 1/2 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 3)))))) (pow y 3))) (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))) (+ (* -1 (/ t (* (pow y 2) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2))))) (+ (* -1/2 (/ t (* (pow y 2) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (/ t (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1))))))) |
(/ 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)))))) |
(/ t (* y z)) |
(/ (+ (* -1/2 (/ (* t (* z (+ y (* -1 (pow y 2))))) (pow y 2))) (/ t y)) z) |
(/ (+ (* z (- (* -1 (* z (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z) |
(/ (+ (* z (- (* z (- (* -1 (* z (+ (* -1/2 (/ (* (+ y (* -1 (pow y 2))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2))))) y)) (+ (* -1/12 (/ (* t (* (+ y (* -1 (pow y 2))) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (pow y 3))) (* 1/24 (/ (* t (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (pow y 2))))))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z) |
(/ 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))) |
(* 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)) |
(+ (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))))) |
(+ (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)))) |
(* 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))))))))))) |
(log (- (+ 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)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y z) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(* y (- (exp z) 1)) |
(/ z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(/ (- (exp z) 1) t) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(* y z) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(* 1/6 (* y (pow z 3))) |
(* (pow z 3) (+ (* 1/6 y) (* 1/2 (/ y z)))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) |
(* 1/6 (* y (pow z 3))) |
(* -1 (* (pow z 3) (+ (* -1/2 (/ y z)) (* -1/6 y)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y (- (exp z) 1))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* -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 |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* 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) |
(- (+ 1 (* y (exp z))) y) |
(- (+ 1 (* y (exp z))) y) |
(- (+ 1 (* y (exp z))) y) |
(- (+ 1 (* y (exp z))) y) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) x) |
x |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x (neg.f64 x))) |
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(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 z (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)) (*.f64 (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (*.f64 z #s(literal 1/6 binary64)))) y)) |
(* 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 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 z (+.f64 y (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 12 binary64)) (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))))))) (*.f64 (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) y)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y z) |
(*.f64 y z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y)) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/24 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(/ z t) |
(/.f64 z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(fma.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) t) (/.f64 z t)) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(fma.f64 (*.f64 z z) (fma.f64 z (/.f64 #s(literal 1/6 binary64) t) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 z t)) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) t))) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) |
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* y z) |
(*.f64 y z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y)) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y)) |
(* 1/6 (* y (pow z 3))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z)))) |
(* (pow z 3) (+ (* 1/6 y) (* 1/2 (/ y z)))) |
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) z) (*.f64 y #s(literal 1/6 binary64)))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) |
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 y #s(literal 1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) z) (/.f64 y (*.f64 z z))))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) |
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 y #s(literal 1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) z) (/.f64 y (*.f64 z z))))) |
(* 1/6 (* y (pow z 3))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z)))) |
(* -1 (* (pow z 3) (+ (* -1/2 (/ y z)) (* -1/6 y)))) |
(*.f64 (*.f64 z (*.f64 z z)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y z) (*.f64 y #s(literal -1/6 binary64))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) |
(*.f64 (-.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z)) z)) (neg.f64 (*.f64 z (*.f64 z z)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) |
(*.f64 (-.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z)) z)) (neg.f64 (*.f64 z (*.f64 z z)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(* y (- (exp z) 1)) |
(*.f64 y (expm1.f64 z)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(neg.f64 (neg.f64 (*.f64 y (expm1.f64 z)))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (+.f64 (neg.f64 (expm1.f64 z)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (+.f64 (neg.f64 (expm1.f64 z)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (+.f64 (neg.f64 (expm1.f64 z)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y z)) |
(fma.f64 y z #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
| 6 086× | lower-*.f32 |
| 6 078× | lower-*.f64 |
| 4 604× | lower-fma.f32 |
| 4 598× | lower-fma.f64 |
| 3 558× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 536 |
| 0 | 91 | 536 |
| 1 | 438 | 528 |
| 2 | 3699 | 528 |
| 0 | 9523 | 468 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) |
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
(neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))) |
(*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) |
#s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) |
#s(approx (* y (- (exp z) 1)) (*.f64 y z)) |
#s(approx (/ (- (exp z) 1) t) (/.f64 z t)) |
(*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (neg.f64 t))) |
(+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (neg.f64 t)) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 2 binary64)) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) x) |
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(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) (+.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -2 binary64)))) (neg.f64 (+.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) (+.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) (+.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -2 binary64))) (/.f64 #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)))) |
(exp.f64 (log.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) #s(literal -1 binary64))) |
(-.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)))))) |
(neg.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #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 #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 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) |
(/.f64 t (neg.f64 (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) (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 (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 (/.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) (neg.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))) |
(/.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 (*.f64 t #s(literal 1 binary64)) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) |
(pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(*.f64 t (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(*.f64 t (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(*.f64 (/.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 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 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 (pow.f64 (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) |
#s(approx (* y (- (exp z) 1)) (*.f64 y z)) |
(*.f64 #s(literal 1 binary64) #s(approx (* y (- (exp z) 1)) (*.f64 y z))) |
(*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)) #s(literal 1 binary64)) |
#s(approx (/ (- (exp z) 1) t) (/.f64 z t)) |
(+.f64 (*.f64 y z) (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y))) |
(+.f64 (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)) (*.f64 y z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y))) |
(fma.f64 y z (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y))) |
(fma.f64 y (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 y z)) |
(fma.f64 y (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y))) |
(fma.f64 z y (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y))) |
(fma.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y) (*.f64 y z)) |
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y))) |
(fma.f64 (*.f64 y z) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 y z)) |
(fma.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 y z) (*.f64 y z)) |
(fma.f64 (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y (*.f64 y z)) |
(fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (*.f64 y z)) |
(fma.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) z (*.f64 y z)) |
(fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z z)))) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)) (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)) (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)) (*.f64 y z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)) (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y))) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)) (*.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 z (*.f64 z z) (*.f64 (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z z)))))) (fma.f64 z (-.f64 z (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z z))))) |
(/.f64 (*.f64 y (*.f64 (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 z)))) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z z))))) y) (fma.f64 z (-.f64 z (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 z))) y) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 z))) |
(*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) |
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) y) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) |
Compiled 19 311 to 1 460 computations (92.4% saved)
36 alts after pruning (24 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 001 | 9 | 1 010 |
| Fresh | 6 | 15 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 1 008 | 36 | 1 044 |
| Status | Accuracy | Program |
|---|---|---|
| 78.3% | (fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) t) x) | |
| 84.0% | (fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (/.f64 #s(literal -1 binary64) t) x) | |
| ✓ | 74.2% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| 71.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t)) | |
| ✓ | 62.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
| ✓ | 85.0% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) |
| ✓ | 77.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
| ✓ | 98.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
| 76.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/24 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y))))) t)) | |
| ✓ | 78.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
| ✓ | 84.0% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
| ✓ | 71.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
| 73.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) | |
| 62.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t)) | |
| 70.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)) | |
| 26.3% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) | |
| 88.7% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))) | |
| 58.0% | (-.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 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) | |
| 77.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) | |
| ✓ | 27.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
| 18.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t))) | |
| 17.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) (neg.f64 t))) | |
| 17.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t))) | |
| 19.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t))) | |
| 11.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t))) | |
| 16.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t))) | |
| 14.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) | |
| 27.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))) | |
| 10.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))) | |
| 14.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) | |
| 4.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))))) | |
| 6.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))))) | |
| ✓ | 13.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
| 13.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y)))) | |
| ✓ | 17.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) |
| ✓ | 14.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
Compiled 1 598 to 645 computations (59.6% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))) |
(-.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 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
(-.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 y z #s(literal 1 binary64)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/24 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(-.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 y (exp.f64 z) (neg.f64 y))) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) (/.f64 (expm1.f64 z) t))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (/.f64 #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)))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
9 calls:
| 51.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 43.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 29.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 20.0ms | z |
| 19.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | y |
| 98.8% | 1 | z |
| 98.8% | 1 | t |
| 98.8% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 98.8% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 98.8% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 98.8% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 98.8% | 1 | (exp.f64 z) |
Compiled 83 to 63 computations (24.1% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))) |
(-.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 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
(-.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 y z #s(literal 1 binary64)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/24 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
9 calls:
| 20.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 18.0ms | y |
| 18.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 15.0ms | t |
| 15.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 1 | x |
| 92.9% | 2 | z |
| 88.7% | 1 | t |
| 96.3% | 4 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 93.1% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 93.1% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 92.9% | 2 | (exp.f64 z) |
| 93.4% | 3 | y |
| 94.0% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
Compiled 83 to 63 computations (24.1% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))) |
(-.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 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
(-.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 y z #s(literal 1 binary64)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/24 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y))))) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))) |
3 calls:
| 12.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 11.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 11.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.1% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 93.1% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 94.0% | 3 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
Compiled 40 to 30 computations (25% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))) |
(-.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 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
(-.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 y z #s(literal 1 binary64)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t)) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) |
6 calls:
| 17.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 13.0ms | z |
| 12.0ms | (exp.f64 z) |
| 11.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 10.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 93.1% | 3 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 91.7% | 2 | (exp.f64 z) |
| 91.9% | 2 | z |
| 91.0% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 91.0% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 68 to 51 computations (25% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))) |
(-.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 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) |
9 calls:
| 12.0ms | t |
| 11.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 10.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 9.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 2 | x |
| 83.4% | 1 | t |
| 85.7% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 85.7% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 83.4% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 83.4% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 85.2% | 2 | (exp.f64 z) |
| 85.6% | 2 | y |
| 85.2% | 2 | z |
Compiled 83 to 63 computations (24.1% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))) |
(-.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 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t))) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)) |
9 calls:
| 12.0ms | z |
| 11.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 11.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 9.0ms | y |
| 9.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 3 | t |
| 81.7% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 79.3% | 2 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 82.3% | 2 | z |
| 82.3% | 2 | (exp.f64 z) |
| 82.8% | 3 | x |
| 81.6% | 3 | y |
| 81.4% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 81.4% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 83 to 63 computations (24.1% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))) |
(-.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 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) |
| Outputs |
|---|
(-.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 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
7 calls:
| 11.0ms | t |
| 9.0ms | (exp.f64 z) |
| 8.0ms | z |
| 8.0ms | x |
| 7.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 77.7% | 1 | t |
| 77.7% | 1 | x |
| 79.6% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 79.6% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 77.7% | 1 | (exp.f64 z) |
| 80.1% | 2 | z |
Compiled 63 to 48 computations (23.8% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
4 calls:
| 9.0ms | z |
| 8.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 8.0ms | y |
| 6.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 79.6% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 77.7% | 1 | y |
| 77.7% | 1 | z |
Compiled 35 to 27 computations (22.9% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
9 calls:
| 4.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 2.0ms | y |
| 2.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 2.0ms | t |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 1 | x |
| 77.3% | 1 | y |
| 77.3% | 1 | t |
| 77.3% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 77.3% | 1 | z |
| 77.3% | 1 | (exp.f64 z) |
| 77.3% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 77.3% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 77.3% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 83 to 63 computations (24.1% saved)
Total -1.5b remaining (-2.7%)
Threshold costs -1.5b (-2.7%)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
9 calls:
| 4.0ms | (exp.f64 z) |
| 2.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 2.0ms | t |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.6% | 1 | x |
| 14.6% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 14.6% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 14.6% | 1 | y |
| 14.6% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 14.6% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 14.6% | 1 | t |
| 14.6% | 1 | (exp.f64 z) |
| 14.6% | 1 | z |
Compiled 83 to 63 computations (24.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.1884320707690736e+274 | +inf |
| 0.0ms | 1.068993349285027e-77 | 3809725441480.7837 |
| 0.0ms | -9.559012514803513e+282 | -2.897809743267272e+257 |
Compiled 20 to 19 computations (5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999949010854 |
Compiled 20 to 19 computations (5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | -6.844086093787685e+48 | -5.231139918121161e+42 |
| 13.0ms | 47× | 1 | valid |
| 9.0ms | 97× | 0 | valid |
| 2.0ms | 26× | 0 | invalid |
Compiled 281 to 181 computations (35.6% saved)
ival-log: 9.0ms (48.9% of total)ival-sub: 3.0ms (16.3% of total)ival-div: 2.0ms (10.9% of total)ival-add: 1.0ms (5.4% of total)adjust: 1.0ms (5.4% of total)ival-exp: 1.0ms (5.4% of total)ival-mult: 1.0ms (5.4% 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 | 0.0 | 0.9999999949010854 |
Compiled 20 to 19 computations (5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | -0.03645639351672249 | -0.002261262666235975 |
| 11.0ms | 38× | 1 | valid |
| 6.0ms | 74× | 0 | valid |
| 3.0ms | 33× | 0 | invalid |
Compiled 307 to 201 computations (34.5% saved)
ival-log: 6.0ms (40% of total)ival-exp: 3.0ms (20% of total)ival-sub: 2.0ms (13.3% of total)ival-add: 1.0ms (6.7% of total)ival-div: 1.0ms (6.7% of total)adjust: 1.0ms (6.7% of total)ival-mult: 1.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 90.0ms | -6.8257748308701195e+218 | -3.915456842613528e+210 |
| 67.0ms | 90× | 0 | valid |
| 15.0ms | 54× | 1 | valid |
| 2.0ms | 29× | 0 | invalid |
Compiled 407 to 244 computations (40% saved)
ival-div: 61.0ms (78.4% of total)ival-log: 10.0ms (12.8% of total)ival-sub: 2.0ms (2.6% of total)ival-add: 1.0ms (1.3% of total)adjust: 1.0ms (1.3% of total)ival-exp: 1.0ms (1.3% of total)ival-mult: 1.0ms (1.3% 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 | 0.0 | 0.9999999949010854 |
Compiled 20 to 19 computations (5% saved)
| 1× | egg-herbie |
| 142× | neg-mul-1_binary64 |
| 134× | unsub-neg_binary64 |
| 72× | *-commutative_binary64 |
| 70× | +-commutative_binary64 |
| 68× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 545 |
| 1 | 165 | 545 |
| 2 | 234 | 545 |
| 3 | 280 | 545 |
| 4 | 314 | 545 |
| 5 | 417 | 545 |
| 6 | 577 | 545 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 39999999999999996855131513776705365946850876653032828117399186418692295074945442754976846497565352568693062873700435604738961912003248183644935166006780693798839685559128870516942316518811170780038665405800011425661232361283537866297439039221930866280916638709520096892551168 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y))))) |
(if (<=.f64 z #s(literal -5799999999999999610418612908015673034145792 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(if (<=.f64 z #s(literal -5188146770730811/144115188075855872 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t))) |
(if (<=.f64 z #s(literal -4100000000000000007762517423524401548541271331568595994006549796300725374106629547135379280234462655558783896486990702305623201745772896947415321070338713112630829156003672925948401765635084204736644975006056448 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 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 39999999999999996855131513776705365946850876653032828117399186418692295074945442754976846497565352568693062873700435604738961912003248183644935166006780693798839685559128870516942316518811170780038665405800011425661232361283537866297439039221930866280916638709520096892551168 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))))) |
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 39999999999999996855131513776705365946850876653032828117399186418692295074945442754976846497565352568693062873700435604738961912003248183644935166006780693798839685559128870516942316518811170780038665405800011425661232361283537866297439039221930866280916638709520096892551168 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y))))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (+.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y))))) |
(if (<=.f64 z #s(literal -5799999999999999610418612908015673034145792 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(if (<=.f64 z #s(literal -5188146770730811/144115188075855872 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t))) |
(if (<=.f64 z #s(literal -4100000000000000007762517423524401548541271331568595994006549796300725374106629547135379280234462655558783896486990702305623201745772896947415321070338713112630829156003672925948401765635084204736644975006056448 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 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(if (<=.f64 z #s(literal -4100000000000000007762517423524401548541271331568595994006549796300725374106629547135379280234462655558783896486990702305623201745772896947415321070338713112630829156003672925948401765635084204736644975006056448 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 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (neg.f64 y)))) |
| 15 880× | lower-fma.f64 |
| 15 880× | lower-fma.f32 |
| 11 462× | lower-fma.f64 |
| 11 462× | lower-fma.f32 |
| 9 488× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 618 | 13173 |
| 1 | 2043 | 12612 |
| 2 | 6797 | 12454 |
| 0 | 8384 | 10042 |
| 0 | 753 | 14091 |
| 1 | 2452 | 13390 |
| 0 | 8537 | 10704 |
| 0 | 47 | 360 |
| 0 | 79 | 360 |
| 1 | 346 | 360 |
| 2 | 2986 | 360 |
| 0 | 8467 | 346 |
| 0 | 569 | 11961 |
| 1 | 1833 | 11384 |
| 2 | 5956 | 11217 |
| 0 | 8175 | 8822 |
| 0 | 335 | 2380 |
| 1 | 1012 | 2276 |
| 2 | 3164 | 2227 |
| 0 | 8211 | 1752 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 712 to 361 computations (49.3% saved)
Compiled 734 to 250 computations (65.9% saved)
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