
Time bar (total: 12.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 6 |
| 28.6% | 25% | 62.4% | 0.1% | 0% | 12.5% | 0% | 7 |
| 28.6% | 25% | 62.4% | 0.1% | 0% | 12.5% | 0% | 8 |
| 39.3% | 34.3% | 53% | 0.1% | 0% | 12.5% | 0% | 9 |
| 52.7% | 45.2% | 40.6% | 0.1% | 0% | 14% | 0% | 10 |
| 52.7% | 45.2% | 40.6% | 0.1% | 0% | 14% | 0% | 11 |
| 56% | 47.6% | 37.4% | 0.1% | 0% | 14.8% | 0% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 1.8s | 4 592× | 1 | valid |
| 553.0ms | 3 664× | 0 | valid |
| 412.0ms | 1 671× | 1 | exit |
| 273.0ms | 677× | 1 | invalid |
| 184.0ms | 691× | 0 | invalid |
ival-pow: 808.0ms (30.2% of total)ival-e: 597.0ms (22.3% of total)ival-log1p: 420.0ms (15.7% of total)ival-mult: 401.0ms (15% of total)adjust: 301.0ms (11.3% of total)ival-sub: 123.0ms (4.6% of total)ival-true: 10.0ms (0.4% of total)exact: 9.0ms (0.3% of total)ival-assert: 5.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 184 | 0 | - | 0 | - | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 166 | 44 | (2.9348073322910394e+165 -3.219115170097507e-178 -6.748954871951432e-275) | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 19 | 0 | - | 2 | (8.501370875126128e+65 1.876299207131486e-132 3.4414942689902197e-189) | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 0 | 0 | - | 0 | - | (pow.f64 (E.f64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (E.f64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | sensitivity | 209 | 0 |
-.f64 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | cancellation | 38 | 0 |
*.f64 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | n*u | 17 | 0 |
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | oflow-rescue | 1 | 0 |
| ↳ | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) | overflow | 1 | |
| ↳ | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) | overflow | 1 | |
| ↳ | (pow.f64 (E.f64) x) | overflow | 1 | |
| ↳ | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 177 | 0 |
| - | 58 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 177 | 0 | 0 |
| - | 58 | 0 | 21 |
| number | freq |
|---|---|
| 0 | 21 |
| 1 | 205 |
| 2 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 129.0ms | 354× | 1 | valid |
| 16.0ms | 158× | 0 | valid |
Compiled 169 to 48 computations (71.6% saved)
ival-pow: 39.0ms (40.2% of total)ival-e: 18.0ms (18.6% of total)ival-mult: 13.0ms (13.4% of total)adjust: 10.0ms (10.3% of total)ival-log1p: 7.0ms (7.2% of total)ival-sub: 5.0ms (5.2% of total)ival-add: 4.0ms (4.1% of total)ival-true: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 117 |
| 1 | 95 | 113 |
| 2 | 175 | 113 |
| 3 | 458 | 113 |
| 4 | 951 | 113 |
| 5 | 1526 | 113 |
| 6 | 2352 | 113 |
| 7 | 2728 | 113 |
| 8 | 2934 | 113 |
| 9 | 3003 | 113 |
| 10 | 3053 | 113 |
| 11 | 3080 | 113 |
| 12 | 3111 | 113 |
| 13 | 3116 | 113 |
| 14 | 3119 | 113 |
| 15 | 3121 | 113 |
| 0 | 11 | 12 |
| 0 | 18 | 12 |
| 1 | 27 | 12 |
| 2 | 34 | 12 |
| 3 | 46 | 12 |
| 4 | 55 | 12 |
| 5 | 69 | 12 |
| 6 | 100 | 12 |
| 7 | 154 | 12 |
| 8 | 278 | 12 |
| 9 | 403 | 12 |
| 10 | 485 | 12 |
| 11 | 500 | 12 |
| 12 | 504 | 12 |
| 0 | 504 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(negabs c)
Compiled 12 to 11 computations (8.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 35.3% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | |
| cost-diff | 64 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 0 | 18 | 51 |
| 1 | 27 | 51 |
| 2 | 34 | 51 |
| 3 | 46 | 51 |
| 4 | 55 | 51 |
| 5 | 69 | 51 |
| 6 | 100 | 51 |
| 7 | 154 | 51 |
| 8 | 278 | 51 |
| 9 | 403 | 51 |
| 10 | 485 | 51 |
| 11 | 500 | 51 |
| 12 | 504 | 51 |
| 0 | 504 | 46 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
c |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
(E.f64) |
x |
y |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
c |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
(E.f64) |
x |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.010097509768442016 | (pow.f64 (E.f64) x) | |
| accuracy | 4.349948736515657 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | |
| accuracy | 37.129591716554565 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | |
| accuracy | 42.63855130236561 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 66.0ms | 177× | 1 | valid |
| 8.0ms | 79× | 0 | valid |
Compiled 104 to 24 computations (76.9% saved)
ival-pow: 23.0ms (43.4% of total)ival-e: 8.0ms (15.1% of total)ival-mult: 5.0ms (9.4% of total)ival-add: 5.0ms (9.4% of total)ival-sub: 4.0ms (7.6% of total)adjust: 4.0ms (7.6% of total)ival-log1p: 3.0ms (5.7% 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 #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (E.f64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 72.0ms | c | @ | 0 | ((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x)) |
| 38.0ms | x | @ | inf | ((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x)) |
| 20.0ms | c | @ | -inf | ((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x)) |
| 19.0ms | x | @ | -inf | ((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x)) |
| 13.0ms | c | @ | inf | ((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 1930 |
| 1 | 1018 | 1746 |
| 2 | 3394 | 1720 |
| 0 | 8432 | 1561 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
1 |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* y (- (pow (E) x) 1)) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E))))) |
(* x (log (E))) |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
1 |
(+ 1 (* x (log (E)))) |
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))) |
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(- (pow (E) x) 1) |
(- (pow (E) x) 1) |
(- (pow (E) x) 1) |
(- (pow (E) x) 1) |
(pow (E) x) |
(pow (E) x) |
(pow (E) x) |
(pow (E) x) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(* y (- (pow (E) x) 1)) |
(- (pow (E) x) 1) |
(- (pow (E) x) 1) |
(- (pow (E) x) 1) |
(- (pow (E) x) 1) |
(pow (E) x) |
(pow (E) x) |
(pow (E) x) |
(pow (E) x) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
#s(literal 1 binary64) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y) |
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y) |
(*.f64 (fma.f64 (*.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))) y (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 y)) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 y)) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (log.f64 y))) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c) |
(fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (fma.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log1p.f64 (neg.f64 (pow.f64 (E.f64) x)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) y)) y)) |
(*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 c (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y))) |
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
#s(literal 1 binary64) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(*.f64 (*.f64 c y) x) |
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) |
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x) |
(*.f64 y x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x) |
(*.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x (*.f64 #s(literal 1/2 binary64) y)) x y) x) |
x |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
(pow.f64 (E.f64) x) |
(pow.f64 (E.f64) x) |
(pow.f64 (E.f64) x) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
(pow.f64 (E.f64) x) |
(pow.f64 (E.f64) x) |
(pow.f64 (E.f64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 46 |
| 0 | 18 | 46 |
| 1 | 70 | 46 |
| 2 | 454 | 40 |
| 3 | 4960 | 40 |
| 0 | 8940 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
| Outputs |
|---|
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Compiled 11 424 to 2 178 computations (80.9% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 480 | 15 | 495 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 481 | 15 | 496 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.8% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 82.7% | (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) | |
| 75.3% | (*.f64 c (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))) | |
| 81.9% | (*.f64 c (+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) | |
| 39.5% | (*.f64 c (neg.f64 (log.f64 (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))) | |
| 36.4% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) | |
| ▶ | 26.8% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| ▶ | 44.0% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
| 47.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) | |
| ▶ | 52.4% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
| 57.1% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) | |
| 54.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)) | |
| 43.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) | |
| 58.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) | |
| ▶ | 64.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 744 to 534 computations (28.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)) | |
| cost-diff | 0 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) | |
| cost-diff | 128 | (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) | |
| cost-diff | 6464 | (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)) | |
| cost-diff | 0 | #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)) | |
| cost-diff | 0 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) | |
| cost-diff | 128 | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) | |
| cost-diff | 0 | (*.f64 c y) | |
| cost-diff | 0 | (*.f64 (*.f64 c y) x) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) | |
| cost-diff | 0 | (expm1.f64 x) | |
| cost-diff | 0 | (*.f64 y (expm1.f64 x)) | |
| cost-diff | 0 | (log1p.f64 (*.f64 y (expm1.f64 x))) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 556 |
| 0 | 94 | 556 |
| 1 | 169 | 556 |
| 2 | 374 | 556 |
| 3 | 1126 | 556 |
| 4 | 3869 | 556 |
| 5 | 4925 | 522 |
| 6 | 7841 | 522 |
| 0 | 8389 | 491 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(*.f64 y (expm1.f64 x)) |
y |
(expm1.f64 x) |
x |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c y) |
c |
y |
x |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
c |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) |
#s(literal 1/24 binary64) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal -6 binary64) |
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)) |
(*.f64 y y) |
#s(literal -7 binary64) |
(fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y) |
#s(literal 12 binary64) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
x |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(-.f64 y (*.f64 y y)) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(*.f64 (expm1.f64 x) y) |
y |
(expm1.f64 x) |
x |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c y) |
c |
y |
x |
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x y))) c) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x y))) |
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x y)) |
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(*.f64 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) c) |
c |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) |
(*.f64 (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal -6 binary64) |
(*.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y) |
(*.f64 y y) |
#s(literal -7 binary64) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y) |
#s(literal 12 binary64) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
x |
(*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(-.f64 y (*.f64 y y)) |
#s(literal 1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.349948736515657 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) | |
| accuracy | 5.109301439448376 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) | |
| accuracy | 12.167579431616986 | (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) | |
| accuracy | 23.841892656706122 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)) | |
| accuracy | 4.349948736515657 | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| accuracy | 11.924735867612863 | #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) | |
| accuracy | 37.129591716554565 | (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) | |
| accuracy | 2.1934093153865906 | (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) | |
| accuracy | 3.8202298165401607 | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) | |
| accuracy | 4.349948736515657 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) | |
| accuracy | 24.09891173578555 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)) | |
| accuracy | 0 | (*.f64 c y) | |
| accuracy | 3.7201208917196698 | (*.f64 (*.f64 c y) x) | |
| accuracy | 23.16282423403225 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) | |
| accuracy | 0 | (expm1.f64 x) | |
| accuracy | 0.00390625 | (*.f64 y (expm1.f64 x)) | |
| accuracy | 0.2538098885945684 | (log1p.f64 (*.f64 y (expm1.f64 x))) | |
| accuracy | 4.349948736515657 | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 166.0ms | 176× | 1 | valid |
| 40.0ms | 80× | 0 | valid |
Compiled 1 041 to 112 computations (89.2% saved)
ival-mult: 55.0ms (33.4% of total)ival-pow: 33.0ms (20% of total)ival-add: 20.0ms (12.1% of total)adjust: 18.0ms (10.9% of total)const: 11.0ms (6.7% of total)ival-e: 7.0ms (4.2% of total)ival-expm1: 7.0ms (4.2% of total)ival-log1p: 7.0ms (4.2% of total)ival-sub: 4.0ms (2.4% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log1p.f64 (*.f64 y (expm1.f64 x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y (expm1.f64 x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (expm1.f64 x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 c y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 c y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | x | @ | -inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2))) |
| 46.0ms | c | @ | 0 | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2))) |
| 28.0ms | x | @ | inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2))) |
| 23.0ms | c | @ | inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2))) |
| 22.0ms | c | @ | -inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 743 | 8823 |
| 1 | 2554 | 8526 |
| 0 | 8314 | 7491 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* c (log (+ 1 (* y (- (exp x) 1))))) |
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(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
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(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
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(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c (* x y)) |
(* c (* x y)) |
(* c (* x y)) |
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(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
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(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
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(* c (* x y)) |
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(* c (* x y)) |
(* c (* x y)) |
(* c y) |
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(* c y) |
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(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
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(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
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(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* y (- (exp x) 1)) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
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(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
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(* (pow y 4) (+ (* -1 (/ (* x (- (* -1/2 x) 1/3)) y)) (* -1/4 (pow x 2)))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -7/24 x) 1/2)) 1/2) y)) (* x (- (* -1/2 x) 1/3))) y)) (* -1/4 (pow x 2)))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* x (- (* -1/24 x) 1/6)) 1/2) y)) (* x (- (* -7/24 x) 1/2))) 1/2) y)) (* x (- (* -1/2 x) 1/3))) y)) (* -1/4 (pow x 2)))) |
(* c (* x y)) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x y)))) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* c (* x y)) |
(* c (* x y)) |
(* c (* x y)) |
(* c (* x y)) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (- y (pow y 2)))))) |
(* x (+ y (* 1/2 (* x (- y (pow y 2)))))) |
(* x (+ y (* 1/2 (* x (- y (pow y 2)))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) |
(+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* 1/2 (- y (pow y 2))) |
(+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))) |
(+ (* 1/2 (- y (pow y 2))) (* x (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(+ (* 1/2 (- y (pow y 2))) (* x (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(* y (- (exp x) 1)) |
(* y (- (exp x) 1)) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c (* x y)) |
(* c (* x y)) |
(* c (* x y)) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) |
(* x (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x)))) |
(* x (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x)))) |
(* x (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x)))) |
(* 1/24 (* (pow x 2) (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) |
(* (pow x 2) (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x)))) |
(* (pow x 2) (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (+ (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x)) (* 1/2 (/ (- y (pow y 2)) (pow x 2)))))) |
(* (pow x 2) (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (+ (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x)) (* 1/2 (/ (- y (pow y 2)) (pow x 2)))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(* y (- (exp x) 1)) |
(* y (- (exp x) 1)) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c (* x y)) |
(* c (* x y)) |
(* c (* x y)) |
(* 1/2 (* x (- y (pow y 2)))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) |
(* -1 (* x (+ (* -1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x)) (* -1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))) |
(* -1 (* x (+ (* -1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x)) (* -1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))) |
(* -1 (* x (+ (* -1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x)) (* -1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))) |
(* 1/24 (* (pow x 2) (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) |
(* (pow x 2) (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) x)) (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) x)) (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (*.f64 x y) c) |
(*.f64 (*.f64 x y) c) |
(*.f64 (*.f64 x y) c) |
(*.f64 (*.f64 x y) c) |
(*.f64 c y) |
(*.f64 c y) |
(*.f64 c y) |
(*.f64 c y) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
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(expm1.f64 x) |
(expm1.f64 x) |
(expm1.f64 x) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (*.f64 x y) c) |
(*.f64 (*.f64 x y) c) |
(*.f64 (*.f64 x y) c) |
(*.f64 (*.f64 x y) c) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) x))) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) x))) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) x))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x) x) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal 1/24 binary64)) x) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) (*.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal -1/24 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) (*.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal -1/24 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) (*.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal -1/24 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal 1/24 binary64))) x) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal 1/24 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y))) (neg.f64 x))) x) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal 1/24 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y))) (neg.f64 x))) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 354 |
| 0 | 94 | 354 |
| 1 | 354 | 354 |
| 2 | 2772 | 354 |
| 0 | 8338 | 333 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(*.f64 y (expm1.f64 x)) |
(expm1.f64 x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
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Compiled 38 489 to 2 776 computations (92.8% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 776 | 19 | 795 |
| Fresh | 6 | 4 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 784 | 26 | 810 |
| Status | Accuracy | Program |
|---|---|---|
| 75.3% | (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c) | |
| ▶ | 92.7% | (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) |
| ✓ | 92.8% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 67.6% | (*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c) | |
| 14.8% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| ▶ | 47.7% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) |
| ▶ | 52.4% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) |
| 74.8% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) | |
| 57.1% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) | |
| 82.7% | (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) | |
| 81.9% | (*.f64 c (+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) | |
| 39.5% | (*.f64 c (neg.f64 (log.f64 (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))) | |
| ✓ | 26.8% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| ▶ | 46.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
| 52.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x))) | |
| 52.4% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x))) | |
| 55.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x))) | |
| 22.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64)) x (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (neg.f64 y))) (neg.f64 y))) (pow.f64 y #s(literal 4 binary64)))) x y) x))) | |
| 56.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x))) | |
| 56.3% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) | |
| 56.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))) | |
| 24.5% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64))))) | |
| 58.6% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x)) | |
| ▶ | 60.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| 58.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) | |
| ✓ | 64.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 1 757 to 1 230 computations (30% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))) | |
| cost-diff | 0 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) | |
| cost-diff | 128 | (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) | |
| cost-diff | 128 | (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) | |
| cost-diff | 320 | (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) | |
| cost-diff | 0 | (*.f64 x c) | |
| cost-diff | 0 | (*.f64 (*.f64 x c) y) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) | |
| cost-diff | 6400 | (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 582 |
| 0 | 111 | 581 |
| 1 | 186 | 581 |
| 2 | 345 | 576 |
| 3 | 929 | 576 |
| 4 | 4313 | 573 |
| 0 | 8002 | 527 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) |
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) |
(expm1.f64 (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 x c) |
x |
c |
y |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/2 binary64) |
x |
c |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) |
(*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
y |
#s(literal -3 binary64) |
x |
#s(literal 1/6 binary64) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
c |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) |
(fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) |
(pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) |
(*.f64 (-.f64 y (*.f64 y y)) x) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
x |
#s(literal 2 binary64) |
#s(literal 1/4 binary64) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) |
(*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 c (log1p.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) |
(log1p.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) |
(*.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) |
(*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x))) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
x |
#s(literal 3 binary64) |
y |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
(*.f64 (*.f64 c x) y) |
(*.f64 c x) |
x |
c |
y |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/2 binary64) |
x |
c |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) x)) |
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) x) |
(fma.f64 (*.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) |
(*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
y |
#s(literal -3 binary64) |
x |
#s(literal 1/6 binary64) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
c |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) y) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal -1 binary64))))) c) |
c |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) y) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) y) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) x) |
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) |
(pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) |
(*.f64 (-.f64 y (*.f64 y y)) x) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
x |
#s(literal 2 binary64) |
#s(literal 1/4 binary64) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(*.f64 y (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.349948736515657 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) | |
| accuracy | 7.62889592915103 | (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) | |
| accuracy | 15.373585341132177 | (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) | |
| accuracy | 24.09891173578555 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))) | |
| accuracy | 4.26764042302403 | (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) | |
| accuracy | 4.349948736515657 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) | |
| accuracy | 7.472647993320824 | (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) | |
| accuracy | 23.376022281167298 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) | |
| accuracy | 2.1934093153865906 | (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) | |
| accuracy | 3.8202298165401607 | (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) | |
| accuracy | 4.349948736515657 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) | |
| accuracy | 24.09891173578555 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) | |
| accuracy | 0 | (*.f64 x c) | |
| accuracy | 4.065725982076892 | (*.f64 (*.f64 x c) y) | |
| accuracy | 23.16282423403225 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) | |
| accuracy | 0.16015625 | (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) | |
| accuracy | 0.2538098885945684 | (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) | |
| accuracy | 0.34375 | (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) | |
| accuracy | 4.349948736515657 | (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) |
| 197.0ms | 160× | 1 | valid |
| 38.0ms | 77× | 0 | valid |
| 38.0ms | 19× | 2 | valid |
Compiled 1 075 to 130 computations (87.9% saved)
ival-mult: 67.0ms (30.4% of total)ival-expm1: 35.0ms (15.9% of total)ival-add: 26.0ms (11.8% of total)adjust: 21.0ms (9.5% of total)ival-pow: 18.0ms (8.2% of total)ival-log1p: 15.0ms (6.8% of total)ival-e: 10.0ms (4.5% of total)ival-sub: 6.0ms (2.7% of total)ival-div: 6.0ms (2.7% of total)ival-exp: 5.0ms (2.3% of total)const: 4.0ms (1.8% of total)ival-pow2: 4.0ms (1.8% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 110.0ms | c | @ | 0 | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (- (* (* (- y (* y y)) 1/2) x) y) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (exp (* x 3)) 1) y) (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y))) |
| 57.0ms | x | @ | inf | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (- (* (* (- y (* y y)) 1/2) x) y) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (exp (* x 3)) 1) y) (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y))) |
| 44.0ms | x | @ | -inf | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (- (* (* (- y (* y y)) 1/2) x) y) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (exp (* x 3)) 1) y) (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y))) |
| 33.0ms | c | @ | -inf | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (- (* (* (- y (* y y)) 1/2) x) y) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (exp (* x 3)) 1) y) (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y))) |
| 32.0ms | c | @ | inf | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (- (* (* (- y (* y y)) 1/2) x) y) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (exp (* x 3)) 1) y) (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1080 | 11832 |
| 1 | 3670 | 11347 |
| 0 | 8358 | 9756 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* -1 (* x (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x))))) |
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* y (+ 1/2 (* -1/2 y))) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* y (+ 1/2 (* -1/2 y))) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* 1/2 (* x (- y (pow y 2)))) |
(* -1 (* x (+ (* -1/2 (- y (pow y 2))) (/ y x)))) |
(* -1 (* x (+ (* -1/2 (- y (pow y 2))) (/ y x)))) |
(* -1 (* x (+ (* -1/2 (- y (pow y 2))) (/ y x)))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* y (- (exp (* 3 x)) 1)) |
(* y (- (exp (* 3 x)) 1)) |
(* y (- (exp (* 3 x)) 1)) |
(* y (- (exp (* 3 x)) 1)) |
(* x (+ y (* (pow y 2) (- (* 2 y) 3)))) |
(* x (+ y (* (pow y 2) (- (* 2 y) 3)))) |
(* x (+ y (* (pow y 2) (- (* 2 y) 3)))) |
(* x (+ y (* (pow y 2) (- (* 2 y) 3)))) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* 1/4 (* (pow x 2) (pow (- y (pow y 2)) 2))) |
(* (pow x 2) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 1/4 (pow (- y (pow y 2)) 2)))) |
(* (pow x 2) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 1/4 (pow (- y (pow y 2)) 2)))) |
(* (pow x 2) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 1/4 (pow (- y (pow y 2)) 2)))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 c x) |
(*.f64 c x) |
(*.f64 c x) |
(*.f64 c x) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 c x) |
(*.f64 c x) |
(*.f64 c x) |
(*.f64 c x) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 c x) |
(*.f64 c x) |
(*.f64 c x) |
(*.f64 c x) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (*.f64 c y) (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) y) (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) c)) y) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) y) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))) y (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) c)) y) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c) (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)) y) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)))) y (*.f64 (*.f64 #s(literal -1/2 binary64) c) (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))) y (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) c)) y) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) y) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) y) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) y) (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) y) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) c) |
(*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) c) #s(literal -1/2 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 (expm1.f64 x) y) c) |
(*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) c) #s(literal -1/2 binary64) (*.f64 (expm1.f64 x) c)) y) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y) |
(*.f64 (expm1.f64 x) y) |
(*.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (exp.f64 x)) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (exp.f64 x)) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (exp.f64 x)) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x) |
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(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
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(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
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(log1p.f64 (*.f64 (expm1.f64 x) y)) |
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(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) |
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(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
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(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) |
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(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) |
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(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 y (*.f64 y y))) |
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) (*.f64 x x)) |
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) (*.f64 x x)) |
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 (-.f64 y (*.f64 y y)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 425 |
| 0 | 111 | 425 |
| 1 | 406 | 387 |
| 2 | 3112 | 330 |
| 0 | 8672 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) |
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 x c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) |
(-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) |
(fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) |
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Compiled 38 948 to 3 269 computations (91.6% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 950 | 14 | 964 |
| Fresh | 7 | 11 | 18 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 961 | 29 | 990 |
| Status | Accuracy | Program |
|---|---|---|
| 75.3% | (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c) | |
| 73.3% | (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) | |
| ✓ | 92.8% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 67.6% | (*.f64 (log1p.f64 #s(approx (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 y x))) c) | |
| ▶ | 57.1% | (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
| 52.4% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c) | |
| 14.8% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| ▶ | 56.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) |
| 56.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) c) | |
| 53.0% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y #s(literal -1/2 binary64))) y (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)) c) | |
| 74.8% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) | |
| 56.2% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) | |
| 24.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) | |
| 56.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c) | |
| 44.1% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c) | |
| ▶ | 82.7% | (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) |
| 81.9% | (*.f64 c (+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) | |
| 39.5% | (*.f64 c (neg.f64 (log.f64 (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))) | |
| ✓ | 26.8% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| ▶ | 52.0% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
| 52.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x))) | |
| 55.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x))) | |
| 56.3% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) | |
| ▶ | 2.6% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y))))) |
| 44.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 x x (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) x))) y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (neg.f64 y))) (*.f64 y y))))) | |
| 56.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))) | |
| ✓ | 60.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| 58.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) | |
| ✓ | 64.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 2 129 to 1 446 computations (32.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 256 | (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) | |
| cost-diff | 320 | (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) | |
| cost-diff | 1408 | (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)) | |
| cost-diff | 1472 | (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))) | |
| cost-diff | 0 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) | |
| cost-diff | 128 | (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) | |
| cost-diff | 0 | (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))) | |
| cost-diff | 0 | (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 1017 |
| 0 | 149 | 1015 |
| 1 | 276 | 1000 |
| 2 | 678 | 948 |
| 3 | 2565 | 898 |
| 0 | 8005 | 835 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) |
c |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))) |
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) |
(*.f64 y (expm1.f64 x)) |
y |
(expm1.f64 x) |
x |
#s(literal 3 binary64) |
(log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) |
(*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) |
(fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
c |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/2 binary64) |
(*.f64 y x) |
x |
c |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))) |
(/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) |
(*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) |
#s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) |
(*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(-.f64 y (*.f64 y y)) |
(*.f64 y y) |
#s(literal 1/2 binary64) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y))))) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y)))) |
#s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) |
(/.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 x x) |
x |
#s(literal -1 binary64) |
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 x x) y) |
(fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)) |
(/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
| Outputs |
|---|
(*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) c) |
c |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) |
(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (expm1.f64 x) y) |
y |
(expm1.f64 x) |
x |
#s(literal 3 binary64) |
(log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) |
(*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) |
(fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c) |
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) |
(*.f64 x y) |
y |
x |
c |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) y) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) y) x) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/2 binary64) |
(*.f64 x y) |
x |
c |
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) x)) c) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) x)) |
(*.f64 (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) x) |
(*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) |
#s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(*.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 y) y y) |
(*.f64 y y) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)))) (*.f64 y y)))) c) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)))) (*.f64 y y)))) |
#s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)))) (*.f64 y y))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)))) (*.f64 y y)) |
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 x x) |
x |
#s(literal -1 binary64) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (-.f64 (/.f64 x y) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y) y) #s(literal -2 binary64))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 x y)) x) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) #s(literal -2 binary64) x)) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) y) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.993118981821254 | (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) | |
| accuracy | 17.95600900695557 | (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y)) | |
| accuracy | 23.86464715900601 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y)))) | |
| accuracy | 46.34937800862414 | (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) | |
| accuracy | 4.349948736515657 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) | |
| accuracy | 15.373585341132177 | (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) | |
| accuracy | 23.04653397015216 | #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) | |
| accuracy | 23.86464715900601 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))) | |
| accuracy | 0.015625 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) | |
| accuracy | 2.1934093153865906 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x) | |
| accuracy | 4.349948736515657 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) | |
| accuracy | 23.86464715900601 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 4.349948736515657 | (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) | |
| accuracy | 23.87336796739306 | #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) | |
| accuracy | 0.1761513183790941 | (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))) | |
| accuracy | 4.349948736515657 | (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) | |
| accuracy | 4.374033310967156 | (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) | |
| accuracy | 6.303235047123267 | (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) |
| 423.0ms | 209× | 1 | valid |
| 110.0ms | 18× | 2 | valid |
| 17.0ms | 28× | 0 | valid |
| 1.0ms | 1× | 1 | exit |
Compiled 1 779 to 179 computations (89.9% saved)
ival-mult: 84.0ms (17.3% of total)ival-expm1: 80.0ms (16.5% of total)ival-add: 63.0ms (13% of total)ival-div: 63.0ms (13% of total)ival-sub: 49.0ms (10.1% of total)ival-pow: 46.0ms (9.5% of total)adjust: 45.0ms (9.3% of total)ival-log1p: 21.0ms (4.3% of total)exact: 16.0ms (3.3% of total)ival-e: 8.0ms (1.6% of total)ival-exp: 5.0ms (1% of total)ival-pow2: 5.0ms (1% of total)ival-neg: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 348.0ms | x | @ | inf | ((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) x) (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (- (* (* (- y (* y y)) 1/2) x) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (+ (* (* x x) -1/2) (/ (* x x) y)) (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y))) |
| 189.0ms | c | @ | 0 | ((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) x) (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (- (* (* (- y (* y y)) 1/2) x) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (+ (* (* x x) -1/2) (/ (* x x) y)) (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y))) |
| 97.0ms | x | @ | -inf | ((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) x) (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (- (* (* (- y (* y y)) 1/2) x) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (+ (* (* x x) -1/2) (/ (* x x) y)) (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y))) |
| 64.0ms | c | @ | -inf | ((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) x) (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (- (* (* (- y (* y y)) 1/2) x) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (+ (* (* x x) -1/2) (/ (* x x) y)) (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y))) |
| 63.0ms | c | @ | inf | ((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) x) (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (- (* (* (- y (* y y)) 1/2) x) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (+ (* (* x x) -1/2) (/ (* x x) y)) (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1306 | 14029 |
| 1 | 4409 | 13593 |
| 0 | 8259 | 11589 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* x y) |
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(* -1/2 (* (pow x 2) (pow y 2))) |
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(* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
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(* -1/2 (* x (pow y 2))) |
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(* -1/2 (pow x 2)) |
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(/ (* x (- (* 1/2 x) 1)) y) |
(/ (+ (* -2 (/ (* (- (* 1/2 x) 1) (- (+ 1 x) (* 1/2 x))) y)) (* x (- (* 1/2 x) 1))) y) |
(/ (+ (* -2 (/ (* (- (* 1/2 x) 1) (- (+ 1 x) (* 1/2 x))) y)) (* x (- (* 1/2 x) 1))) y) |
(/ (+ (* -2 (/ (* (- (* 1/2 x) 1) (- (+ 1 x) (* 1/2 x))) y)) (* x (- (* 1/2 x) 1))) y) |
(* -1/2 (pow x 2)) |
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(* 1/4 (* (pow x 2) (pow y 4))) |
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(* -1/2 (* (pow x 2) (pow y 2))) |
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(* (pow y 3) (pow (- (exp x) 1) 3)) |
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(/ (* x (- (* 1/2 x) 1)) y) |
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(* (pow x 3) (pow y 3)) |
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(* (pow x 3) (+ (* x (+ (* 5/4 (* x (pow y 3))) (* 3/2 (pow y 3)))) (pow y 3))) |
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(* (pow x 3) (pow y 3)) |
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y |
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(* x (+ y (* 1/2 (* x (- y (pow y 2)))))) |
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(* (pow x 2) (- (/ 1 y) 1/2)) |
(* (pow x 2) (- (/ 1 y) 1/2)) |
(* (pow x 2) (- (/ 1 y) 1/2)) |
(* (pow x 2) (- (/ 1 y) 1/2)) |
(/ -1 (pow y 2)) |
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(- (* 1/4 (/ (pow x 2) (pow y 2))) (/ 1 (pow y 2))) |
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(* x (+ (* -1 y) (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))))) |
(* x (+ (* -1 y) (* x (+ (* 1/6 (* x (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))))) |
(* x (+ (* -1 y) (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))) (* x (+ (* 1/24 (* x (+ (* -12 (* (pow y 2) (pow (- y 1/2) 2))) (+ (* -6 (pow y 4)) (+ (* 24 (* y (- (+ (* 1/4 y) (* 1/3 y)) 1/24))) (+ (* 24 (* (pow y 2) (- y 1/6))) (* 24 (* (pow y 3) (- y 1/2))))))))) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))))))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 1/4 (* (pow x 2) (pow (- y (pow y 2)) 2)))) |
(+ (* -1 (pow y 2)) (* 1/4 (* (pow x 2) (pow (- y (pow y 2)) 2)))) |
(+ (* -1 (pow y 2)) (* 1/4 (* (pow x 2) (pow (- y (pow y 2)) 2)))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(* x y) |
(* x (+ y (* x (* (pow y 2) (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 y)))))))) |
(* x (+ y (* x (* (pow y 2) (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 y)))))))) |
(* x (+ y (* x (* (pow y 2) (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 y)))))))) |
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) |
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) |
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) |
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) |
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))) |
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))) |
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))) |
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))) |
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) |
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) |
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) |
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) |
(* (pow y 3) (pow (- (exp x) 1) 3)) |
(* (pow y 3) (pow (- (exp x) 1) 3)) |
(* (pow y 3) (pow (- (exp x) 1) 3)) |
(* (pow y 3) (pow (- (exp x) 1) 3)) |
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* (pow x 2) (* y (+ 1/2 (* -1/2 y)))) |
(* (pow x 2) (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(* (pow x 2) (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(* (pow x 2) (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(* x (* y (+ 1/2 (* -1/2 y)))) |
(* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* -1 (/ y x)) (* 1/2 (- y (pow y 2))))) |
(* x (+ (* -1 (/ y x)) (* 1/2 (- y (pow y 2))))) |
(* x (+ (* -1 (/ y x)) (* 1/2 (- y (pow y 2))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (- (* 1/2 (/ 1 y)) 1/2)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* x y))) 1/2)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* x y))) 1/2)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* x y))) 1/2)) |
(* (pow x 2) (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 y)) (/ 2 (* (pow x 2) (pow y 2)))) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 y)) (/ 2 (* (pow x 2) (pow y 2)))) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y))))) |
(* (pow x 2) (- (/ 1 y) 1/2)) |
(* (pow x 2) (- (/ 1 y) 1/2)) |
(* (pow x 2) (- (/ 1 y) 1/2)) |
(* (pow x 2) (- (/ 1 y) 1/2)) |
(* 1/4 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow y 2))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow y 2))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow y 2))) (/ 1 (* (pow x 2) (pow y 2))))) |
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))) |
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))) |
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))) |
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))) |
(* 1/4 (* (pow x 2) (pow (- y (pow y 2)) 2))) |
(* (pow x 2) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 1/4 (pow (- y (pow y 2)) 2)))) |
(* (pow x 2) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 1/4 (pow (- y (pow y 2)) 2)))) |
(* (pow x 2) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 1/4 (pow (- y (pow y 2)) 2)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* (pow x 2) (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))) |
(* (pow x 2) (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) (/ y x))) |
(* (pow x 2) (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) (/ y x))) |
(* (pow x 2) (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) (/ y x))) |
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) |
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) |
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) |
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) |
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))) |
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))) |
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))) |
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))) |
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) |
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) |
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) |
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) |
(* (pow y 3) (pow (- (exp x) 1) 3)) |
(* (pow y 3) (pow (- (exp x) 1) 3)) |
(* (pow y 3) (pow (- (exp x) 1) 3)) |
(* (pow y 3) (pow (- (exp x) 1) 3)) |
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* (pow x 2) (* y (+ 1/2 (* -1/2 y)))) |
(* (pow x 2) (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(* (pow x 2) (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(* (pow x 2) (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(* x (* y (+ 1/2 (* -1/2 y)))) |
(* -1 (* x (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x))))) |
(* 1/2 (* x (- y (pow y 2)))) |
(* -1 (* x (+ (* -1/2 (- y (pow y 2))) (/ y x)))) |
(* -1 (* x (+ (* -1/2 (- y (pow y 2))) (/ y x)))) |
(* -1 (* x (+ (* -1/2 (- y (pow y 2))) (/ y x)))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (- (* 1/2 (/ 1 y)) 1/2)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* x y))) 1/2)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* x y))) 1/2)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* x y))) 1/2)) |
(* (pow x 2) (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (/ 1 y) (* 2 (/ 1 (* x (pow y 2))))) x)) (* 1/2 (/ 1 y))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (/ 1 y) (* 2 (/ 1 (* x (pow y 2))))) x)) (* 1/2 (/ 1 y))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (/ 1 y) 1/2)) |
(* (pow x 2) (- (/ 1 y) 1/2)) |
(* (pow x 2) (- (/ 1 y) 1/2)) |
(* (pow x 2) (- (/ 1 y) 1/2)) |
(* 1/4 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow y 2))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow y 2))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow y 2))) (/ 1 (* (pow x 2) (pow y 2))))) |
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))) |
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))) |
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))) |
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))) |
(* 1/4 (* (pow x 2) (pow (- y (pow y 2)) 2))) |
(* (pow x 2) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 1/4 (pow (- y (pow y 2)) 2)))) |
(* (pow x 2) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 1/4 (pow (- y (pow y 2)) 2)))) |
(* (pow x 2) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 1/4 (pow (- y (pow y 2)) 2)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* (pow x 2) (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))) |
(* (pow x 2) (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) (/ y x))) |
(* (pow x 2) (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) (/ y x))) |
(* (pow x 2) (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) (/ y x))) |
| Outputs |
|---|
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c) |
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c) |
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c) |
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c) |
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c) |
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c) |
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
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(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x x)) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 x x)) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (*.f64 x x) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 x x)) |
(log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (*.f64 x x)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y)) (*.f64 x x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x)) |
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c) |
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c) |
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c) |
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c) |
(-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) |
(log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) |
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) |
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) |
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal -1/2 binary64) (/.f64 y x))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal -1/2 binary64) (/.f64 y x))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal -1/2 binary64) (/.f64 y x))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y y)) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 y x)) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 y x)) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 y x)) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x x)) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (*.f64 x x) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 x x)) |
(log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (*.f64 x x)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y)) (*.f64 x x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 606 |
| 0 | 147 | 604 |
| 1 | 609 | 527 |
| 2 | 5600 | 527 |
| 0 | 8211 | 501 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))) |
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) |
(-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))) |
(/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) |
(log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) |
#s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y)) |
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Compiled 67 637 to 4 047 computations (94% saved)
37 alts after pruning (30 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 995 | 16 | 1 011 |
| Fresh | 6 | 14 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 003 | 37 | 1 040 |
| Status | Accuracy | Program |
|---|---|---|
| 81.1% | (fma.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (*.f64 (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) c)) | |
| 29.3% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)))) | |
| 75.3% | (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c) | |
| 73.3% | (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) | |
| ✓ | 92.8% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 67.6% | (*.f64 (log1p.f64 #s(approx (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 y x))) c) | |
| ✓ | 57.1% | (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
| 50.5% | (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c) | |
| 56.4% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y) x (*.f64 x y))) c) | |
| 14.8% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| ✓ | 56.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) |
| 56.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) c) | |
| 53.0% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y #s(literal -1/2 binary64))) y (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)) c) | |
| 74.8% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) | |
| 56.2% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) | |
| 24.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) | |
| 56.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c) | |
| ✓ | 82.7% | (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) |
| 81.9% | (*.f64 c (+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) | |
| 39.5% | (*.f64 c (neg.f64 (log.f64 (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))) | |
| ✓ | 26.8% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| 51.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y))))) | |
| 13.4% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64)))))) | |
| 2.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))))) | |
| 48.5% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y))))) | |
| 49.4% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) x) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))))) | |
| 52.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x))) | |
| 55.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x))) | |
| 53.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))) | |
| 1.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) #s(approx (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))) (*.f64 y y))))) | |
| 45.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y))))) | |
| 39.4% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x)))))) | |
| 24.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))))) | |
| 56.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))) | |
| ✓ | 60.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| 58.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) | |
| ✓ | 64.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 4 507 to 1 640 computations (63.6% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x)) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64)))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x)))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y #s(literal -1/2 binary64))) y (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) x) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c) |
(*.f64 (log1p.f64 #s(approx (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 y x))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) #s(approx (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))) (*.f64 y y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 x x (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) x))) y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (neg.f64 y))) (*.f64 y y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64)) x (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (neg.f64 y))) (neg.f64 y))) (pow.f64 y #s(literal 4 binary64)))) x y) x))) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
(*.f64 c (neg.f64 (log.f64 (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 c (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))) |
(*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) |
(*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) |
(fma.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (*.f64 (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) c)) |
(*.f64 c (+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
9 calls:
| 19.0ms | c |
| 18.0ms | x |
| 17.0ms | y |
| 16.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 16.0ms | (pow.f64 (E.f64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 1 | c |
| 92.8% | 1 | x |
| 96.1% | 3 | y |
| 92.8% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 92.8% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 92.8% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 92.8% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 92.8% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 92.8% | 1 | (pow.f64 (E.f64) x) |
Compiled 49 to 59 computations (-20.4% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x)) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64)))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x)))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y #s(literal -1/2 binary64))) y (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) x) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c) |
(*.f64 (log1p.f64 #s(approx (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 y x))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) #s(approx (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))) (*.f64 y y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 x x (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) x))) y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (neg.f64 y))) (*.f64 y y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
| Outputs |
|---|
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c) |
9 calls:
| 29.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 18.0ms | c |
| 17.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 14.0ms | y |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 2 | c |
| 84.3% | 2 | x |
| 74.8% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 74.8% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 74.8% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 84.9% | 3 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 84.3% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 84.3% | 2 | (pow.f64 (E.f64) x) |
| 88.5% | 5 | y |
Compiled 49 to 59 computations (-20.4% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x)) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64)))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x)))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y #s(literal -1/2 binary64))) y (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) x) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) |
| Outputs |
|---|
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
5 calls:
| 20.0ms | x |
| 14.0ms | y |
| 12.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 10.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 9.0ms | (pow.f64 (E.f64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 3 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 78.1% | 3 | y |
| 79.5% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 79.5% | 2 | (pow.f64 (E.f64) x) |
| 79.5% | 2 | x |
Compiled 17 to 26 computations (-52.9% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x)) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64)))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x)))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y #s(literal -1/2 binary64))) y (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) x) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
9 calls:
| 14.0ms | x |
| 14.0ms | y |
| 14.0ms | (pow.f64 (E.f64) x) |
| 13.0ms | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 12.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 64.6% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 64.6% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 64.6% | 1 | y |
| 64.6% | 1 | c |
| 64.6% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 66.4% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 66.4% | 2 | (pow.f64 (E.f64) x) |
| 66.4% | 2 | x |
Compiled 49 to 59 computations (-20.4% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x)) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64)))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
| Outputs |
|---|
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
3 calls:
| 13.0ms | (pow.f64 (E.f64) x) |
| 9.0ms | x |
| 7.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.3% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 66.3% | 2 | (pow.f64 (E.f64) x) |
| 66.3% | 2 | x |
Compiled 9 to 15 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x)) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64)))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))) |
| Outputs |
|---|
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64)))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
3 calls:
| 11.0ms | x |
| 9.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 7.0ms | (pow.f64 (E.f64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.3% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 66.3% | 2 | (pow.f64 (E.f64) x) |
| 66.3% | 2 | x |
Compiled 9 to 15 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x)) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
| Outputs |
|---|
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
3 calls:
| 41.0ms | x |
| 6.0ms | (pow.f64 (E.f64) x) |
| 6.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.3% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 66.3% | 2 | (pow.f64 (E.f64) x) |
| 66.3% | 2 | x |
Compiled 9 to 15 computations (-66.7% saved)
Total -27.2b remaining (-120.2%)
Threshold costs -27.2b (-120.2%)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x)) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x))) |
| Outputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
4 calls:
| 34.0ms | y |
| 18.0ms | x |
| 6.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 6.0ms | (pow.f64 (E.f64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 1 | y |
| 64.6% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 64.6% | 1 | (pow.f64 (E.f64) x) |
| 64.6% | 1 | x |
Compiled 10 to 18 computations (-80% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 8.946080911716941e-213 | 4.094313275666655e-204 |
| 21.0ms | -2.9578162528900385e-274 | -6.748954871951432e-275 |
| 24.0ms | 103× | 1 | valid |
| 10.0ms | 137× | 0 | valid |
Compiled 390 to 361 computations (7.4% saved)
ival-pow: 11.0ms (42.1% of total)ival-e: 5.0ms (19.1% of total)ival-mult: 4.0ms (15.3% of total)adjust: 2.0ms (7.6% of total)ival-sub: 2.0ms (7.6% of total)ival-log1p: 2.0ms (7.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | -3.649218754327032e-10 | -5.335332382065465e-19 |
| 16.0ms | 144× | 0 | valid |
| 2.0ms | 21× | 0 | invalid |
Compiled 276 to 250 computations (9.4% saved)
ival-sub: 5.0ms (38.8% of total)ival-pow: 3.0ms (23.3% of total)ival-mult: 2.0ms (15.5% of total)ival-log1p: 1.0ms (7.8% of total)ival-e: 1.0ms (7.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 52.0ms | -4.9237574716796776e-29 | -4.5315798158936715e-37 |
| 40.0ms | 112× | 1 | valid |
| 3.0ms | 32× | 0 | valid |
| 2.0ms | 18× | 0 | invalid |
| 1.0ms | 3× | 1 | invalid |
Compiled 321 to 277 computations (13.7% saved)
ival-e: 18.0ms (45.7% of total)ival-pow: 9.0ms (22.8% of total)ival-mult: 6.0ms (15.2% of total)adjust: 2.0ms (5.1% of total)ival-log1p: 2.0ms (5.1% of total)ival-sub: 1.0ms (2.5% 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 |
|---|---|---|
| 31.0ms | -39571.62789927115 | -0.03521340035547853 |
| 22.0ms | 144× | 0 | valid |
| 2.0ms | 22× | 0 | invalid |
Compiled 609 to 457 computations (25% saved)
ival-pow: 13.0ms (66.5% of total)ival-mult: 2.0ms (10.2% of total)ival-e: 2.0ms (10.2% of total)ival-sub: 1.0ms (5.1% of total)ival-log1p: 1.0ms (5.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -39571.62789927115 | -0.03521340035547853 |
Compiled 609 to 457 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -39571.62789927115 | -0.03521340035547853 |
Compiled 699 to 484 computations (30.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -39571.62789927115 | -0.03521340035547853 |
| 10.0ms | 80× | 0 | valid |
| 1.0ms | 12× | 0 | invalid |
Compiled 672 to 484 computations (28% saved)
ival-e: 4.0ms (48.6% of total)ival-pow: 2.0ms (24.3% of total)ival-log1p: 1.0ms (12.1% of total)ival-mult: 1.0ms (12.1% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 426 |
| 1 | 122 | 426 |
| 2 | 128 | 426 |
| 3 | 131 | 426 |
| 4 | 132 | 426 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -7016626088207999/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 3354476740711969/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c))) |
(if (<=.f64 x #s(literal -5029131409596857/19342813113834066795298816 binary64)) (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) (*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)) |
(if (<=.f64 x #s(literal -6779426540353309/178405961588244985132285746181186892047843328 binary64)) (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))) |
(if (<=.f64 x #s(literal -66 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))) |
(if (<=.f64 x #s(literal -66 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))) |
(if (<=.f64 x #s(literal -66 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64)))))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))) |
(if (<=.f64 x #s(literal -110 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y))))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -7016626088207999/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904 binary64)) (*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) (if (<=.f64 y #s(literal 3354476740711969/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) (*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))))) |
(if (<=.f64 x #s(literal -5029131409596857/19342813113834066795298816 binary64)) (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) (*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)) |
(if (<=.f64 x #s(literal -6779426540353309/178405961588244985132285746181186892047843328 binary64)) (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))) |
(if (<=.f64 x #s(literal -66 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) x) y)))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))) |
(if (<=.f64 x #s(literal -66 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) x) y))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))) |
(if (<=.f64 x #s(literal -66 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64))))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))) |
(if (<=.f64 x #s(literal -110 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y)))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1306 | 14029 |
| 1 | 4409 | 13593 |
| 0 | 8259 | 11589 |
| 0 | 743 | 8823 |
| 1 | 2554 | 8526 |
| 0 | 8314 | 7491 |
| 0 | 11 | 46 |
| 0 | 18 | 46 |
| 1 | 70 | 46 |
| 2 | 454 | 40 |
| 3 | 4960 | 40 |
| 0 | 8940 | 25 |
| 0 | 94 | 606 |
| 0 | 147 | 604 |
| 1 | 609 | 527 |
| 2 | 5600 | 527 |
| 0 | 8211 | 501 |
| 0 | 1080 | 11832 |
| 1 | 3670 | 11347 |
| 0 | 8358 | 9756 |
| 0 | 54 | 354 |
| 0 | 94 | 354 |
| 1 | 354 | 354 |
| 2 | 2772 | 354 |
| 0 | 8338 | 333 |
| 0 | 283 | 1930 |
| 1 | 1018 | 1746 |
| 2 | 3394 | 1720 |
| 0 | 8432 | 1561 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 879 to 367 computations (58.2% saved)
(negabs c)
Compiled 970 to 272 computations (72% saved)
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